Existence of solutions for a boundary problem  involving p(x)-biharmonic operator

Abdel Rachid El Amrouss; Anass Ourraoui

doi:10.5269/bspm.v31i1.15148

Existence of solutions for a boundary problem involving p(x)-biharmonic operator

Abdel Rachid El Amrouss University Mohamed I Faculty of Sciences Department of Mathematics
Anass Ourraoui Université Mohamed Premier Faculté des Sciences d'Oujda

DOI: https://doi.org/10.5269/bspm.v31i1.15148

Keywords: p(x)-biharmonic, Neumann problem, variational methods

Abstract

In this paper, we establish the existence of at least three solutions to a boundary problem involving the p(x)-biharmonic operator. Our technical approach is based on theorem obtained by B. Ricceri's variational principale and local mountain pass theorem without (Palais.Smale) condition.