Journal Description
Axioms
Axioms
is an international, peer-reviewed, open access journal of mathematics, mathematical logic and mathematical physics, published monthly online by MDPI. The European Society for Fuzzy Logic and Technology (EUSFLAT), International Fuzzy Systems Association (IFSA) and Union of Slovak Mathematicians and Physicists (JSMF) are affiliated with Axioms and their members receive discounts on the article processing charges.
- Open Access— free for readers, with article processing charges (APC) paid by authors or their institutions.
- High visibility: indexed within SCIE (Web of Science), dblp, and other databases.
- Journal Rank: JCR - Q2 (Mathematics, Applied)
- Rapid Publication: manuscripts are peer-reviewed and a first decision is provided to authors approximately 21.8 days after submission; acceptance to publication is undertaken in 2.8 days (median values for papers published in this journal in the second half of 2023).
- Recognition of Reviewers: reviewers who provide timely, thorough peer-review reports receive vouchers entitling them to a discount on the APC of their next publication in any MDPI journal, in appreciation of the work done.
- Companion journal: Logics.
Impact Factor:
2.0 (2022);
5-Year Impact Factor:
1.9 (2022)
Latest Articles
Randomly Stopped Sums, Minima and Maxima for Heavy-Tailed and Light-Tailed Distributions
Axioms 2024, 13(6), 355; https://doi.org/10.3390/axioms13060355 (registering DOI) - 25 May 2024
Abstract
This paper investigates the randomly stopped sums, minima and maxima of heavy- and light-tailed random variables. The conditions on the primary random variables, which are independent but generally not identically distributed, and counting random variable are given in order that the randomly stopped
[...] Read more.
This paper investigates the randomly stopped sums, minima and maxima of heavy- and light-tailed random variables. The conditions on the primary random variables, which are independent but generally not identically distributed, and counting random variable are given in order that the randomly stopped sum, random minimum and maximum is heavy/light tailed. The results generalize some existing ones in the literature. The examples illustrating the results are provided.
Full article
(This article belongs to the Special Issue Stochastic Modeling and Optimization Techniques)
Open AccessArticle
One-Dimensional BSDEs with Jumps and Logarithmic Growth
by
El Mountasar Billah Bouhadjar, Nabil Khelfallah and Mhamed Eddahbi
Axioms 2024, 13(6), 354; https://doi.org/10.3390/axioms13060354 (registering DOI) - 24 May 2024
Abstract
In this study, we explore backward stochastic differential equations driven by a Poisson process and an independent Brownian motion, denoted for short as BSDEJs. The generator exhibits logarithmic growth in both the state variable and the Brownian component while maintaining Lipschitz continuity with
[...] Read more.
In this study, we explore backward stochastic differential equations driven by a Poisson process and an independent Brownian motion, denoted for short as BSDEJs. The generator exhibits logarithmic growth in both the state variable and the Brownian component while maintaining Lipschitz continuity with respect to the jump component. Our study rigorously establishes the existence and uniqueness of solutions within suitable functional spaces. Additionally, we relax the Lipschitz condition on the Poisson component, permitting the generator to exhibit logarithmic growth with respect to all variables. Taking a step further, we employ an exponential transformation to establish an equivalence between a solution of a BSDEJ exhibiting quadratic growth in the z-variable and a BSDEJ showing a logarithmic growth with respect to y and z.
Full article
(This article belongs to the Special Issue Stochastic Modeling and Its Analysis)
Open AccessArticle
Dynamical Behaviors of Stochastic SIS Epidemic Model with Ornstein–Uhlenbeck Process
by
Huina Zhang, Jianguo Sun, Peng Yu and Daqing Jiang
Axioms 2024, 13(6), 353; https://doi.org/10.3390/axioms13060353 - 24 May 2024
Abstract
Controlling infectious diseases has become an increasingly complex issue, and vaccination has become a common preventive measure to reduce infection rates. It has been thought that vaccination protects the population. However, there is no fully effective vaccine. This is based on the fact
[...] Read more.
Controlling infectious diseases has become an increasingly complex issue, and vaccination has become a common preventive measure to reduce infection rates. It has been thought that vaccination protects the population. However, there is no fully effective vaccine. This is based on the fact that it has long been assumed that the immune system produces corresponding antibodies after vaccination, but usually does not achieve the level of complete protection for undergoing environmental fluctuations. In this paper, we investigate a stochastic SIS epidemic model with incomplete inoculation, which is perturbed by the Ornstein–Uhlenbeck process and Brownian motion. We determine the existence of a unique global solution for the stochastic SIS epidemic model and derive control conditions for the extinction. By constructing two suitable Lyapunov functions and using the ergodicity of the Ornstein–Uhlenbeck process, we establish sufficient conditions for the existence of stationary distribution, which means the disease will prevail. Furthermore, we obtain the exact expression of the probability density function near the pseudo-equilibrium point of the stochastic model while addressing the four-dimensional Fokker–Planck equation under the same conditions. Finally, we conduct several numerical simulations to validate the theoretical results.
Full article
(This article belongs to the Special Issue Advances in Dynamical Systems and Control)
Open AccessArticle
An Introduction to Extended Gevrey Regularity
by
Nenad Teofanov, Filip Tomić and Milica Žigić
Axioms 2024, 13(6), 352; https://doi.org/10.3390/axioms13060352 - 24 May 2024
Abstract
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider smoothness properties that go beyond Gevrey regularity, for example, when initial value problems are ill-posed in
[...] Read more.
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider smoothness properties that go beyond Gevrey regularity, for example, when initial value problems are ill-posed in Gevrey settings. In this paper, we consider a convenient framework for studying smooth functions that possess weaker regularity than any Gevrey function. Since the available literature on this topic is scattered, our aim is to provide an overview of extended Gevrey regularity, highlighting its most important features. Additionally, we consider related dual spaces of ultra distributions and review some results on micro-local analysis in the context of extended Gevrey regularity. We conclude the paper with a few selected applications that may motivate further study of the topic.
Full article
(This article belongs to the Special Issue Research on Functional Analysis and Its Applications)
Open AccessArticle
Some Remarks Regarding Special Elements in Algebras Obtained by the Cayley–Dickson Process over Zp
by
Cristina Flaut and Andreea Baias
Axioms 2024, 13(6), 351; https://doi.org/10.3390/axioms13060351 - 24 May 2024
Abstract
In this paper, we provide some properties of k-potent elements in algebras obtained by the Cayley–Dickson process over . Moreover, we find a structure of nonunitary ring over Fibonacci quaternions over and we present a method to encrypt
[...] Read more.
In this paper, we provide some properties of k-potent elements in algebras obtained by the Cayley–Dickson process over . Moreover, we find a structure of nonunitary ring over Fibonacci quaternions over and we present a method to encrypt plain texts, by using invertible elements in some of these algebras.
Full article
(This article belongs to the Special Issue Advances in Classical and Applied Mathematics)
Open AccessEditorial
Editorial Conclusion for the Special Issue “New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization”
by
Wei-Shih Du
Axioms 2024, 13(6), 350; https://doi.org/10.3390/axioms13060350 - 24 May 2024
Abstract
Nonlinear analysis has widespread and significant applications in many areas at the core of many branches of pure and applied mathematics and modern science, including nonlinear ordinary and partial differential equations, critical point theory, functional analysis, fixed point theory, nonlinear optimization, fractional calculus,
[...] Read more.
Nonlinear analysis has widespread and significant applications in many areas at the core of many branches of pure and applied mathematics and modern science, including nonlinear ordinary and partial differential equations, critical point theory, functional analysis, fixed point theory, nonlinear optimization, fractional calculus, variational analysis, convex analysis, dynamical system theory, mathematical economics, data mining, signal processing, control theory, and many more [...]
Full article
(This article belongs to the Special Issue New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization)
Open AccessArticle
Isoptic Point of the Complete Quadrangle
by
Ema Jurkin, Marija Šimić Horvath and Vladimir Volenec
Axioms 2024, 13(6), 349; https://doi.org/10.3390/axioms13060349 - 24 May 2024
Abstract
In this paper, we study the complete quadrangle. We started this investigation in a few of our previous papers. In those papers and here, the rectangular coordinates are used to enable us to prove the properties of the rich geometry of a quadrangle
[...] Read more.
In this paper, we study the complete quadrangle. We started this investigation in a few of our previous papers. In those papers and here, the rectangular coordinates are used to enable us to prove the properties of the rich geometry of a quadrangle using the same method. Now, we are focused on the isoptic point of the complete quadrangle , which is the inverse point to and with respect to circumscribed circles of the triangles , , , and , respectively, where and are isogonal points to and D with respect to these triangles. In studying the properties of the quadrangle regarding its isoptic point, some new results are obtained as well.
Full article
(This article belongs to the Special Issue Advances in Geometry and Its Applications)
►▼
Show Figures
Figure 1
Open AccessArticle
On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials
by
Hao Guan, Waseem Ahmad Khan, Can Kızılateş and Cheon Seoung Ryoo
Axioms 2024, 13(6), 348; https://doi.org/10.3390/axioms13060348 - 24 May 2024
Abstract
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials. By applying a partial derivative operator to the generating functions, the authors obtain derivative formulae and finite combinatorial sums involving
[...] Read more.
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials. By applying a partial derivative operator to the generating functions, the authors obtain derivative formulae and finite combinatorial sums involving these polynomials and numbers. Additionally, the paper establishes connections between cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials of order and several other polynomial sequences, such as the Apostol-type Bernoulli–Fibonacci polynomials, the Apostol-type Euler–Fibonacci polynomials, the Apostol-type Genocchi–Fibonacci polynomials, and the Stirling–Fibonacci numbers of the second kind. The authors also provide computational formulae and graphical representations of these polynomials using the Mathematica program.
Full article
(This article belongs to the Special Issue Fractional and Stochastic Differential Equations in Mathematics)
►▼
Show Figures
Figure 1
Open AccessArticle
Strong Comonotonic Additive Systemic Risk Measures
by
Heyan Wang, Shuo Gong and Yijun Hu
Axioms 2024, 13(6), 347; https://doi.org/10.3390/axioms13060347 - 23 May 2024
Abstract
In this paper, we propose a new class of systemic risk measures, which we refer to as strong comonotonic additive systemic risk measures. First, we introduce the notion of strong comonotonic additive systemic risk measures by proposing new axioms. Second, we establish a
[...] Read more.
In this paper, we propose a new class of systemic risk measures, which we refer to as strong comonotonic additive systemic risk measures. First, we introduce the notion of strong comonotonic additive systemic risk measures by proposing new axioms. Second, we establish a structural decomposition for strong comonotonic additive systemic risk measures. Third, when both the single-firm risk measure and the aggregation function in the structural decomposition are convex, we also provide a dual representation for it. Last, examples are given to illustrate the proposed systemic risk measures. Comparisons with existing systemic risk measures are also provided.
Full article
(This article belongs to the Special Issue Advances in Financial Mathematics)
Open AccessArticle
Local Influence for the Thin-Plate Spline Generalized Linear Model
by
Germán Ibacache-Pulgar, Pablo Pacheco, Orietta Nicolis and Miguel Angel Uribe-Opazo
Axioms 2024, 13(6), 346; https://doi.org/10.3390/axioms13060346 - 23 May 2024
Abstract
Thin-Plate Spline Generalized Linear Models (TPS-GLMs) are an extension of Semiparametric Generalized Linear Models (SGLMs), because they allow a smoothing spline to be extended to two or more dimensions. This class of models allows modeling a set of data in which it is
[...] Read more.
Thin-Plate Spline Generalized Linear Models (TPS-GLMs) are an extension of Semiparametric Generalized Linear Models (SGLMs), because they allow a smoothing spline to be extended to two or more dimensions. This class of models allows modeling a set of data in which it is desired to incorporate the non-linear joint effects of some covariates to explain the variability of a certain variable of interest. In the spatial context, these models are quite useful, since they allow the effects of locations to be included, both in trend and dispersion, using a smooth surface. In this work, we extend the local influence technique for the TPS-GLM model in order to evaluate the sensitivity of the maximum penalized likelihood estimators against small perturbations in the model and data. We fit our model through a joint iterative process based on Fisher Scoring and weighted backfitting algorithms. In addition, we obtained the normal curvature for the case-weight perturbation and response variable additive perturbation schemes, in order to detect influential observations on the model fit. Finally, two data sets from different areas (agronomy and environment) were used to illustrate the methodology proposed here.
Full article
(This article belongs to the Special Issue Mathematical Models and Simulations II)
Open AccessArticle
Conditioning Theory for ML-Weighted Pseudoinverse and ML-Weighted Least Squares Problem
by
Mahvish Samar, Xinzhong Zhu and Huiying Xu
Axioms 2024, 13(6), 345; https://doi.org/10.3390/axioms13060345 - 22 May 2024
Abstract
The conditioning theory of the -weighted least squares and -weighted pseudoinverse problems is explored in this article. We begin by introducing three types of condition numbers for the -weighted pseudoinverse problem: normwise, mixed, and componentwise, along with their explicit expressions.
[...] Read more.
The conditioning theory of the -weighted least squares and -weighted pseudoinverse problems is explored in this article. We begin by introducing three types of condition numbers for the -weighted pseudoinverse problem: normwise, mixed, and componentwise, along with their explicit expressions. Utilizing the derivative of the -weighted pseudoinverse problem, we then provide explicit condition number expressions for the solution of the -weighted least squares problem. To ensure reliable estimation of these condition numbers, we employ the small-sample statistical condition estimation method for all three algorithms. The article concludes with numerical examples that highlight the results obtained.
Full article
Open AccessArticle
The Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Convex Mapping and a Harmonic Set via Fuzzy Inclusion Relations and Their Applications in Quadrature Theory
by
Ali Althobaiti, Saad Althobaiti and Miguel Vivas Cortez
Axioms 2024, 13(6), 344; https://doi.org/10.3390/axioms13060344 - 22 May 2024
Abstract
The relationship between convexity and symmetry is widely recognized. In fuzzy theory, both concepts exhibit similar behavior. It is crucial to remember that real and interval-valued mappings are special instances of fuzzy-number-valued mappings (F-N-V-Ms), as fuzzy theory relies on the unit
[...] Read more.
The relationship between convexity and symmetry is widely recognized. In fuzzy theory, both concepts exhibit similar behavior. It is crucial to remember that real and interval-valued mappings are special instances of fuzzy-number-valued mappings (F-N-V-Ms), as fuzzy theory relies on the unit interval, which is crucial to resolving problems with interval analysis and fuzzy number theory. In this paper, a new harmonic convexities class of fuzzy numbers has been introduced via up and down relation. We show several Hermite–Hadamard (H ⋅ H) and Fejér-type inequalities by the implementation of fuzzy Aumann integrals using the newly defined class of convexities. Some nontrivial examples are also presented to validate the main outcomes.
Full article
(This article belongs to the Special Issue Analysis of Mathematical Inequalities)
Open AccessArticle
Explicit Numerical Manifold Characteristic Galerkin Method for Solving Burgers’ Equation
by
Yue Sun, Qian Chen, Tao Chen and Longquan Yong
Axioms 2024, 13(6), 343; https://doi.org/10.3390/axioms13060343 - 22 May 2024
Abstract
This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers’ equation. Employing the characteristic Galerkin method, we initially apply the Crank–Nicolson method for temporal discretization along the characteristic. Subsequently, utilizing the Taylor expansion, we transform the semi-implicit formula into a fully
[...] Read more.
This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers’ equation. Employing the characteristic Galerkin method, we initially apply the Crank–Nicolson method for temporal discretization along the characteristic. Subsequently, utilizing the Taylor expansion, we transform the semi-implicit formula into a fully explicit form. For spacial discretization, we construct the NMM dual-cover system tailored to Burgers’ equation. We choose constant cover functions and first-order weight functions to enhance computational efficiency and exactly import boundary constraints. Finally, the integrated computing scheme is derived by using the standard Galerkin method, along with a Thomas algorithm-based solution procedure. The proposed method is verified through six benchmark numerical examples under various initial boundary conditions. Extensive comparisons with analytical solutions and results from alternative methods are conducted, demonstrating the accuracy and stability of our approach, particularly in solving Burgers’ equation at high Reynolds numbers.
Full article
(This article belongs to the Special Issue Mathematical Modelling of Fluid Dynamics)
►▼
Show Figures
Figure 1
Open AccessArticle
An Optimization Problem for Computing Predictive Potential of General Sum/Product-Connectivity Topological Indices of Physicochemical Properties of Benzenoid Hydrocarbons
by
Sakander Hayat, Azri Arfan, Asad Khan, Haziq Jamil and Mohammed J. F. Alenazi
Axioms 2024, 13(6), 342; https://doi.org/10.3390/axioms13060342 - 22 May 2024
Abstract
For a graph , a degree-based graphical index takes the general form , where is a symmetric map and is the degree of . For , if (resp. ), the index is called the general product-connectivity (resp. general sum-connectivity ) index. In this paper, by formulating an optimization problem, we determine the value(s) of , for which the linear/multiple correlation coefficient of and with physicochemical properties of benzenoid hydrocarbons is the strongest. This, in turn, fills some research gaps left by similar studies in this area.
Full article
(This article belongs to the Special Issue Advancements in Applied Mathematics and Computational Physics)
►▼
Show Figures
Figure 1
Open AccessArticle
A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis
by
Sania Qureshi, Francisco I. Chicharro, Ioannis K. Argyros, Amanullah Soomro, Jihan Alahmadi and Evren Hincal
Axioms 2024, 13(6), 341; https://doi.org/10.3390/axioms13060341 - 21 May 2024
Abstract
This paper introduces an iterative method with a remarkable level of accuracy, namely fourth-order convergence. The method is specifically tailored to meet the optimality condition under the Kung–Traub conjecture by linear combination. This method, with an efficiency index of approximately , employs
[...] Read more.
This paper introduces an iterative method with a remarkable level of accuracy, namely fourth-order convergence. The method is specifically tailored to meet the optimality condition under the Kung–Traub conjecture by linear combination. This method, with an efficiency index of approximately , employs a blend of localized and semi-localized analysis to improve both efficiency and convergence. This study aims to investigate semi-local convergence, dynamical analysis to assess stability and convergence rate, and the use of the proposed solver for systems of nonlinear equations. The results underscore the potential of the proposed method for several applications in polynomiography and other areas of mathematical research. The improved performance of the proposed optimal method is demonstrated with mathematical models taken from many domains, such as physics, mechanics, chemistry, and combustion, to name a few.
Full article
(This article belongs to the Special Issue New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems)
►▼
Show Figures
Figure 1
Open AccessArticle
A Progressive Outlook on Possibility Multi-Fuzzy Soft Ordered Semigroups: Theory and Analysis
by
Sana Habib, Faiz Muhammad Khan and Violeta Leoreanu-Fotea
Axioms 2024, 13(6), 340; https://doi.org/10.3390/axioms13060340 - 21 May 2024
Abstract
The concept of possibility fuzzy soft sets is a step in a new direction towards a soft set approach that can be used to solve decision-making issues. In this piece of research, an innovative and comprehensive conceptual framework for possibility multi-fuzzy soft ordered
[...] Read more.
The concept of possibility fuzzy soft sets is a step in a new direction towards a soft set approach that can be used to solve decision-making issues. In this piece of research, an innovative and comprehensive conceptual framework for possibility multi-fuzzy soft ordered semigroups by making use of the notions that are associated with possibility multi-fuzzy soft sets as well as ordered semigroups is introduced. Possibility multi-fuzzy soft ordered semigroups mark a newly developed theoretical avenue, and the central aim of this paper is to investigate it. The focus lies on investigating this newly developed theoretical direction, with practical examples drawn from decision-making and diagnosis practices to enhance understanding and appeal to researchers’ interests. We strictly build the notions of possibility multi-fuzzy soft left (right) ideals, as well as l-idealistic and r-idealistic possibility multi-fuzzy soft ordered semigroups. Furthermore, various algebraic operations, such as union, intersection, as well as AND and OR operations are derived, while also providing a comprehensive discussion of their properties. To clarify these innovative ideas, the theoretical constructs are further reinforced with a set of demonstrative examples in order to guarantee deep and improved comprehension of the proposed framework.
Full article
(This article belongs to the Special Issue Advances in Classical and Applied Mathematics)
Open AccessArticle
Uniformly Shifted Exponential Distribution
by
Abdulhamid. A. Alzaid and Najla Qarmalah
Axioms 2024, 13(6), 339; https://doi.org/10.3390/axioms13060339 - 21 May 2024
Abstract
The use of life distributions has increased over the past decade, receiving particular attention in recent years, both from a practical and theoretical point of view. Life distributions can be used in a number of applied fields, such as medicine, biology, public health,
[...] Read more.
The use of life distributions has increased over the past decade, receiving particular attention in recent years, both from a practical and theoretical point of view. Life distributions can be used in a number of applied fields, such as medicine, biology, public health, epidemiology, engineering, economics, and demography. This paper presents and investigates a new life distribution. The proposed model shows favorable characteristics in terms of reliability theory, which makes it competitive against other commonly used life distributions, such as the exponential, gamma, and Weibull distributions. The methods of maximum likelihood and moments are used to estimate the parameters of the proposed model. Additionally, real-life data drawn from different fields are used to illustrate the usefulness of the new distribution. Further, the R programming language is used to perform all computations and produce all graphs.
Full article
(This article belongs to the Special Issue Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization)
Open AccessArticle
Regular, Beating and Dilogarithmic Breathers in Biased Photorefractive Crystals
by
Carlos Alberto Betancur-Silvera, Aurea Espinosa-Cerón, Boris A. Malomed and Jorge Fujioka
Axioms 2024, 13(5), 338; https://doi.org/10.3390/axioms13050338 - 20 May 2024
Abstract
The propagation of light beams in photovoltaic pyroelectric photorefractive crystals is modelled by a specific generalization of the nonlinear Schrödinger equation (GNLSE). We use a variational approximation (VA) to predict the propagation of solitary-wave inputs in the crystals, finding that the VA equations
[...] Read more.
The propagation of light beams in photovoltaic pyroelectric photorefractive crystals is modelled by a specific generalization of the nonlinear Schrödinger equation (GNLSE). We use a variational approximation (VA) to predict the propagation of solitary-wave inputs in the crystals, finding that the VA equations involve a dilogarithm special function. The VA predicts that solitons and breathers exist, and the Vakhitov–Kolokolov criterion predicts that the solitons are stable solutions. Direct simulations of the underlying GNLSE corroborates the existence of such stable modes. The numerical solutions produce both regular breathers and ones featuring beats (long-period modulations of fast oscillations). In the latter case, the Fourier transform of amplitude oscillations reveals a nearly discrete spectrum characterizing the beats dynamics. Numerical solutions of another type demonstrate the spontaneous splitting of the input pulse in two or several secondary ones.
Full article
(This article belongs to the Special Issue Nonlinear Schrödinger Equations)
►▼
Show Figures
Figure 1
Open AccessArticle
High Perturbations of a Fractional Kirchhoff Equation with Critical Nonlinearities
by
Shengbin Yu, Lingmei Huang and Jiangbin Chen
Axioms 2024, 13(5), 337; https://doi.org/10.3390/axioms13050337 - 20 May 2024
Abstract
This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of , i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the concentration compactness principle together
[...] Read more.
This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of , i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the concentration compactness principle together with the mountain pass theorem and cut-off technique. The multiplicity of solutions are further considered with the help of the symmetric mountain pass theorem. Moreover, the nonexistence and asymptotic behavior of positive solutions are also investigated.
Full article
(This article belongs to the Special Issue Fractional Calculus and the Applied Analysis)
Open AccessArticle
Blow-Up Analysis of L2-Norm Solutions for an Elliptic Equation with a Varying Nonlocal Term
by
Xincai Zhu and Chunxia He
Axioms 2024, 13(5), 336; https://doi.org/10.3390/axioms13050336 - 20 May 2024
Abstract
This paper is devoted to studying a type of elliptic equation that contains a varying nonlocal term. We provide a detailed analysis of the existence, non-existence, and blow-up behavior of -norm solutions for the related equation when the potential function
[...] Read more.
This paper is devoted to studying a type of elliptic equation that contains a varying nonlocal term. We provide a detailed analysis of the existence, non-existence, and blow-up behavior of -norm solutions for the related equation when the potential function fulfills an appropriate choice.
Full article
(This article belongs to the Special Issue Advances in Differential Equations and Its Applications)
Journal Menu
► ▼ Journal Menu-
- Axioms Home
- Aims & Scope
- Editorial Board
- Reviewer Board
- Topical Advisory Panel
- Instructions for Authors
- Special Issues
- Topics
- Sections & Collections
- Article Processing Charge
- Indexing & Archiving
- Editor’s Choice Articles
- Most Cited & Viewed
- Journal Statistics
- Journal History
- Journal Awards
- Society Collaborations
- Editorial Office
Journal Browser
► ▼ Journal BrowserHighly Accessed Articles
Latest Books
E-Mail Alert
News
Topics
Topic in
Axioms, Computation, MCA, Mathematics, Symmetry
Mathematical Modeling
Topic Editors: Babak Shiri, Zahra AlijaniDeadline: 31 May 2024
Topic in
Algorithms, Axioms, Fractal Fract, Mathematics, Symmetry
Fractal and Design of Multipoint Iterative Methods for Nonlinear Problems
Topic Editors: Xiaofeng Wang, Fazlollah SoleymaniDeadline: 30 June 2024
Topic in
Crystals, Mathematics, Symmetry, Fractal Fract, Axioms
Mathematical Applications of Nonlinear Wave Properties in Crystalline and Dispersive Media
Topic Editors: Mahmoud A.E. Abdelrahman, Emad El-ShewyDeadline: 31 August 2024
Topic in
Entropy, Fractal Fract, Dynamics, Mathematics, Computation, Axioms
Advances in Nonlinear Dynamics: Methods and Applications
Topic Editors: Ravi P. Agarwal, Maria Alessandra RagusaDeadline: 20 October 2024
Conferences
Special Issues
Special Issue in
Axioms
Discrete Curvatures and Laplacians
Guest Editors: Emil Saucan, David Xianfeng GuDeadline: 31 May 2024
Special Issue in
Axioms
The Application of Fuzzy Decision-Making Theory and Method
Guest Editors: Jun Ye, Yanhui Guo, Shuping WanDeadline: 20 June 2024
Special Issue in
Axioms
Symmetry of Nonlinear Operators
Guest Editors: Emanuel Guariglia, Gheorghita ZbaganuDeadline: 1 July 2024
Special Issue in
Axioms
Advances in Numerical Analysis and Meshless Methods
Guest Editor: Lintian LuhDeadline: 20 July 2024
Topical Collections
Topical Collection in
Axioms
Mathematical Analysis and Applications
Collection Editor: Hari Mohan Srivastava
Topical Collection in
Axioms
Differential Equations and Dynamical Systems
Collection Editor: Feliz Manuel Minhós