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