具有非线性边界条件的非局部问题的多重解决方案

IF 1.3 4区数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Discrete Dynamics in Nature and Society Pub Date : 2024-03-02 DOI:10.1155/2024/3621001

Jie Liu, Qing Miao

引用次数: 0

摘要

在本文中，我们考虑了一类具有非线性边界条件的非局部 p(x)-Laplace 方程。当非线性边界涉及临界指数时，利用集中紧凑性原理、山口稃和喷泉定理，我们可以证明解的存在性和多重性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions

In this article, we consider a class of nonlocal p(x)-Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem, we can prove the existence and multiplicity of solutions.

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来源期刊

Discrete Dynamics in Nature and Society 综合性期刊-数学跨学科应用

CiteScore

3.00

自引率

0.00%

发文量

598

审稿时长

3 months

期刊介绍： The main objective of Discrete Dynamics in Nature and Society is to foster links between basic and applied research relating to discrete dynamics of complex systems encountered in the natural and social sciences. The journal intends to stimulate publications directed to the analyses of computer generated solutions and chaotic in particular, correctness of numerical procedures, chaos synchronization and control, discrete optimization methods among other related topics. The journal provides a channel of communication between scientists and practitioners working in the field of complex systems analysis and will stimulate the development and use of discrete dynamical approach.