Infinitely many low- and high-energy solutions for double-phase problems with variable exponent

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2024-11-11 DOI:10.1002/mana.202300284

Chun-Bo Lian, Qing-Hai Cao, Bin Ge

引用次数: 0

Abstract

The aim of this paper is the study of double-phase problems with variable exponent. Using the Clark's theorem and the symmetric mountain pass lemma, we prove the existence of infinitely many small solutions and infinitely many large solutions, respectively.

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变指数双相问题的无穷多低、高能解

本文的目的是研究变指数双相问题。利用克拉克定理和对称山口引理，分别证明了无穷多个小解和无穷多个大解的存在性。

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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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index