具有可变指数的迪里夏特双相问题的两种解决方案

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2024-05-08 DOI:10.1515/ans-2023-0134

Eleonora Amoroso, Gabriele Bonanno, Giuseppina D’Aguì, Patrick Winkert

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引用次数: 0

摘要

本文致力于研究具有可变指数和迪里夏特边界条件的双相问题。基于抽象临界点定理，我们在非线性项的一般假设（如亚临界增长和超线性条件）下建立了存在性结果。特别是，我们证明了两个能量符号相反的有界弱解的存在，并指出了它们变成非负的一些特殊情况。

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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Two solutions for Dirichlet double phase problems with variable exponents

This paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such as a subcritical growth and a superlinear condition. In particular, we prove the existence of two bounded weak solutions with opposite energy sign and we state some special cases in which they turn out to be nonnegative.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.