Existence of solutions for p-Laplacian equations with electromagnetic fields and critical nonlinearity

Abstract

In this article, we study the perturbed p-Laplacian equation problems with critical nonlinearity in R^N. By using the concentration compactness principle and variational method, we establish the existence and multiplicity of nontrivial solutions of the least energy.

Keywords

• p-Laplacian equation
• critical nonlinearity
• magnetic fields
• variational methods