Journal of Applied & Computational Mathematics

Existence of Multiple Solutions for P-Laplacian Problems Involving Critical Exponents and Singular Cylindrical Potential

Abstract

Mohammed El Mokhtar Ould El Mokhtar

In this paper, we establish the existence of multiple solutions for p-Laplacian problems involving critical exponents and singular cylindrical potential, by using Ekeland’s variational principle and mountain pass theorem without Palais-Smale conditions.