Infinitely many low- and high-energy solutions for double phase problems with nonstandard growth
Author:
Ge Bin1ORCID,
Cao Qing-Hai1ORCID,
Yuan Wen-Shuo1ORCID
Affiliation:
1. College of Mathematical Sciences, Harbin Engineering University , Harbin 150001, People’s Republic of China
Abstract
The aim of this paper is the study a class 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.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Heilongjiang Province
Fundamental Research Funds for the Central Universities
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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