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

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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

Abstract
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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.

Keywords: radial solutions, Pohozaev-type identity, Existence.

Mathematics Subject Classification: Primary: 34A34; Secondary: 35J45.

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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