Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 39, pp. 1-9.

Title: Existence of entire solutions for semilinear
       elliptic systems under the Keller-Osserman condition

Authors: Zhijun Zhang (Yantai Univ., Shandong, China)
         Yongxiu Shi  (Yantai Univ., Shandong, China)
	 Yanxing Xue  (Yantai Univ., Shandong, China)

Abstract:
 Under the Keller-Osserman  condition on $f+g$, we show the existence 
 and nonexistence  of entire  solutions  for the semilinear elliptic system
 $\Delta u =p(x)f(v), \quad \Delta v =q(x)g(u),\quad x\in \mathbb{R}^N$,
 where  $p,q:\mathbb{R}^N\to [0,\infty)$ are continuous functions.

Submitted January 22, 2011. Published March 09, 2011.
Math Subject Classifications: 35J55, 35J60, 35J65.
Key Words: Semilinear elliptic systems; entire solutions; existence.