Nontrivial solutions for a general p(x)-Laplacian Robin problem

Fouad Kissi; Abdelrachid El Amrouss

doi:10.5269/bspm.62755

Fouad Kissi University Mohammed I
Abdelrachid El Amrouss University Mohammed I

Abstract

We establish the existence of multiple nontrivial solutions for a class of $p(x)$-Laplacian Robin problem. Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces, combined with
adequate variational methods and a variant of the Mountain Pass lemma.

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