Journal of Applied & Computational Mathematics

Existence of Solutions for a Fractional and Non-Local Elliptic Operator

Abstract

Mourad Chamekh

In this paper, we consider a fractional and p-laplacian elliptic equation. In order to study this problem, we apply the technique of Nehari manifold and fibering map, which permit treating the existence of nontrivial solutions of a fractional and nonlocal equation, satisfies the homogeneous Dirichlet boundary conditions.