Nonresonance conditions on the potential for a nonlinear nonautonomous Neumann problem

Ahmed Sanhaji; A. Dakkak

doi:10.5269/bspm.v38i3.36296

Nonresonance conditions on the potential for a nonlinear nonautonomous Neumann problem

Auteurs-es

Ahmed Sanhaji Sidi Mohamed ben Abdellah University Faculty of TAZA Laboratory-LSI
A. Dakkak Sidi Mohamed ben Abdellah University Faculty of TAZA Laboratory-LSI

DOI :

https://doi.org/10.5269/bspm.v38i3.36296

Mots-clés :

p-Laplacian, first eigenvalue, principal eigencurve, Nonresonance, Neumann problem

Résumé

The aim of this paper is to establish the existence of the principal eigencurve of the p-Laplacian operator with the nonconstant weight subject to Neumann boundary conditions. We then study the nonresonce phenomena under the first eigenvalue and under the principal eigencurve, thus we obtain existence results for some nonautonomous Neumann elliptic problems involving the p-Laplacian operator.