Existence of solutions for a class of generalized quasilinear Schr\"{o}dinger equations with $p$-Laplacian

Abstract

In this paper we establish the existence of solutions for a class of generalized quasilinear Schr\"{o}dinger equations with $p$-Laplacian. Our results cover some typical physics models and are new. The main technique we use is the methods of change of
variables and $G$-link theorem in critical point theory.