Boundary Value Problems 
Volume 2008 (2008), Article ID 217636, 10 pages
doi:10.1155/2008/217636
Research Article

Existence Result for a Class of Elliptic Systems with Indefinite Weights in R2

Guoqing Zhang1 and Sanyang Liu2

 1College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, China
2Department of Applied Mathematics, Xidian University, Xi'an 710071, China
Received 31 October 2007; Accepted 4 March 2008

Recommended by Zhitao Zhang

Abstract

We obtain the existence of a nontrivial solution for a class of subcritical elliptic systems with indefinite weights in R2. The proofs base on Trudinger-Moser inequality and a generalized linking theorem introduced by Kryszewski and Szulkin.