Affiliation:
1. School of Mathematics, South China University of Technology , Guangzhou 510640, People’s Republic of China
Abstract
In this paper, we consider a class of quasilinear Schrödinger equations arising from a model of a self-trapped electrons in quadratic or hexagonal lattices. By variational methods, we prove that this problem admits a positive solution for any positive parameter.
Funder
Basic and Applied Basic Research Foundation of Guangdong Province
National Natural Science Foundation of China