Existence of nontrivial solutions for a quasilinear Schrodinger equations with sign-changing potential

In this article we consider the quasilinear Schrodinger equation where the potential is sign-changing. We employ a mountain pass argument without compactness conditions to obtain the existence of a nontrivial solution.

Bibliographic Details
Main Authors: Xiang-Dong Fang, Zhi-Qing Han
Format: Article
Language:English
Published: Texas State University 2014-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/05/abstr.html