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

Chun‐Bo Lian, Qing‐Hai Cao and Bin Ge

Mathematische Nachrichten, 2025, vol. 298, issue 1, 142-155

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.

Date: 2025
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https://doi.org/10.1002/mana.202300284

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