Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 05, pp. 1-8.

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

Authors: Xiang-Dong Fang  (Dalian Univ. of Technology,Dalian, China)
         Zhi-Qing Han     (Dalian Univ. of Technology,Dalian, China)

Abstract:
 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.
 
Submitted September 13, 2013. Published January 03, 2014.
Math Subject Classifications: 35A01, 35A15, 35Q55.
Key Words: Quasilinear Schrodinger equation; sign-changing potential;
           Cerami sequences.