Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 20, pp. 1-10.

Title: Remarks on a class of quasilinear elliptic systems
       involving the (p,q)-Laplacian

Authors: Guoqing Zhang (Xidian Univ., China)
         Xiping Liu    (Univ. of Shanghai, China)
	 Sanyang Liu   (Xidian Univ., China)
 
Abstract: 
 We study the Nehari manifold for a class of quasilinear elliptic
 systems involving a pair of (p,q)-Laplacian operators
 and a parameter. We prove the existence of a nonnegative
 nonsemitrivial solution for the systems by discussing properties
 of the Nehari manifold, and so global bifurcation results are
 obtained. Thanks to Picone's identity, we also prove a
 nonexistence result.
 
Submitted July 16, 2004. Published February 8, 2005.
Math Subject Classifications: 35B32, 35J20,35J50, 35P15.
Key Words: Nehari manifold; (p,q)-Laplacian; variational methods.