# American Institute of Mathematical Sciences

March  2009, 8(2): 719-724. doi: 10.3934/cpaa.2009.8.719

## Existence of positive entire solutions for semilinear elliptic systems in the whole space

 1 School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, China, China

Received  March 2008 Revised  September 2008 Published  December 2008

This work is devoted to the existence of positive entire solutions for semilinear elliptic systems. With the aid of a degree theory argument, we use the shooting method and Pohozaev-type identity to show the existence of positive radial solutions.
Citation: Yajing Zhang, Jianghao Hao. Existence of positive entire solutions for semilinear elliptic systems in the whole space. Communications on Pure & Applied Analysis, 2009, 8 (2) : 719-724. doi: 10.3934/cpaa.2009.8.719
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