Affiliation:
1. School of Science Guangxi University of Science and Technology Liuzhou P.R. China
2. Department of Mathematics Yunnan Normal University Kunming P.R. China
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.
Funder
Specific Research Project of Guangxi for Research Bases and Talents
Natural Science Foundation of Guangxi Zhuang Autonomous Region
National Natural Science Foundation of China