Concentration of ground state solutions for critical generalized quasilinear equation with steep potential well

Abstract

In this work, we are looking at the generalized quasilinear Schrödinger equations with critical growth and a steep potential well: where and is an even function and satisfies some suitable conditions (such as ). By using a change of variable and variational methods, for big enough , the existence of a ground state solution is obtained and its concentration behavior is also discussed.