Infinitely Many Weak Solutions for Problems Involving Both p(x)-Laplacian and p(x)-Biharmonic Operators

Mohsine Jennane
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Mohsine Jennane: Sidi Mohamed Ben Abdellah University, Morocco

European Journal of Mathematics and Statistics, 2022, vol. 3, issue 4, 71-80

Abstract: In this paper, we study the existence of infinitely many weak solutions for problems involving both p(x)-Laplacian and p(x)- Biharmonic operators. In the proof of our main result, we use variational methods and the known symmetric mountain pass lemma.

Keywords: Existence result; Variational methods; Eigenvalues; p(x)-biharmonic operator; p(x)-Laplacian operator; Sobolev space; Sym- metric mountain pass lemma (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:3:y:2022:i:4:id:14141

DOI: 10.24018/ejmath.2022.3.4.141

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