Neumann problem in divergence form modeled on the p(x)-Laplace equation

Abdelrachid El Amrouss; Fouzia Moradi; Anass Ourraoui

doi:10.5269/bspm.v32i2.20329

Neumann problem in divergence form modeled on the p(x)-Laplace equation

Abdelrachid El Amrouss University Mohamed I Faculty of sciences Department of Mathematics
Fouzia Moradi 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.v32i2.20329

Keywords: p(x)-laplacian, variational method, Critical point

Abstract

We consider a Neumann problem in divergence form with variable growth, modeled on the p(x)-Laplace equation. we establish the existence of two weak solutions under appropriate hypotheses.