ORIGINAL ARTICLE
Infinitely many low- and high-energy solutions for double-phase problems with variable exponent
Chun-Bo Lian,
Qing-Hai Cao,
Bin Ge,
Chun-Bo Lian
College of Mathematical Sciences, Harbin Engineering University, Harbin, China
Search for more papers by this authorQing-Hai Cao
College of Mathematical Sciences, Harbin Engineering University, Harbin, China
Search for more papers by this authorCorresponding Author
Bin Ge
College of Mathematical Sciences, Harbin Engineering University, Harbin, China
Correspondence
Bin Ge, College of Mathematical Sciences, Harbin Engineering University, Harbin, China.
Email: [email protected]
Search for more papers by this authorChun-Bo Lian,
Qing-Hai Cao,
Bin Ge,
Chun-Bo Lian
College of Mathematical Sciences, Harbin Engineering University, Harbin, China
Search for more papers by this authorQing-Hai Cao
College of Mathematical Sciences, Harbin Engineering University, Harbin, China
Search for more papers by this authorCorresponding Author
Bin Ge
College of Mathematical Sciences, Harbin Engineering University, Harbin, China
Correspondence
Bin Ge, College of Mathematical Sciences, Harbin Engineering University, Harbin, China.
Email: [email protected]
Search for more papers by this authorFirst published: 11 November 2024
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.
CONFLICT OF INTEREST STATEMENT
The authors declare no conflicts of interest.
Open Research
DATA AVAILABILITY STATEMENT
Data sharing is not applicable to this paper as no new data were created or analyzed in this study.
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