Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 22, pp. 1-9.

Title: Decay and symmetry of positive solutions of elliptic
       systems in unbounded cylinders

Author: Kuan-Ju Chen (Chinese Naval Academy, Taiwan)
 
Abstract: 
 In this paper, we study the asymptotic behavior of positive
 solutions and apply the ``improved moving plane'' method to prove
 the symmetry of positive solutions of semilinear elliptic systems
 in unbounded cylinders.
 
Submitted October 26, 2004. Published February 14, 2005.
Math Subject Classifications: 35J50, 35J55.
Key Words: Symmetry of positive solutions; unbounded cylinders