Infinitely many low‐ and high‐energy solutions for double‐phase problems with variable exponent
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.
Authors
- Qing‐Hai Cao (ORCID: https://orcid.org/0009-0004-2335-6568)
- Chun‐Bo Lian
Institutions
- Harbin Engineering University (CN)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2024-11-11
- DOI
- https://doi.org/10.1002/mana.202300284
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Young Scientists Fund
- Fundamental Research Funds for the Central Universities