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



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Submitted Aug 3, 2022
Published Aug 31, 2022
10.24018/ejmath.2022.3.4.141

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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

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