Existence and concentration of semiclassical states for nonlinear Schrodinger equations

In this article, we study the semilinear Schrodinger equation $$ -epsilon^2Delta u+ u+ V(x)u=f(u),quad uin H^1(mathbb{R}^N), $$ where $Ngeq 2$ and $epsilon>0$ is a small parameter. The function $V$ is bounded in $mathbb{R}^N$, $inf_{mathbb{R}^N}(1+V(x))>0$ and it has a possibly degenerat...

Full description

Bibliographic Details
Main Author: Shaowei Chen
Format: Article
Language:English
Published: Texas State University 2012-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/85/abstr.html