Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 134, pp. 1-7.

Title: Existence and uniqueness of solutions to a semilinear 
       elliptic system

Authors: Zu-Chi Chen (Univ. of Science and Technology, Hefei, China)
         Ying Cui    (Univ. of Science and Technology, Hefei, China)

Abstract:
 In this article, we show the existence and uniqueness of smooth
 solutions for boundary-value problems of semilinear elliptic systems.

Submitted July 6, 2009. Published October 19, 2009.
Math Subject Classifications: 35J55, 35J60, 35J65.
Key Words: Super-sub solutions; compact continuous operator;
           Leray-Schauder fixed point theorem.