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ENTIRE POSITIVE SOLUTIONS FOR INHOMOGENEOUS SEMILINEAR ELLIPTIC SYSTEMS

Published online by Cambridge University Press:  31 January 2005

QIUYI DAI
QIUYI DAI
Affiliation:
Department of Applied Mathematics, Hunan University, Changsha Hunan 410082, P.R.China e-mail: [email protected]
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Abstract

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In this paper we investigate existence and nonexistence of positive solutions for inhomogeneous semilinear elliptic systems in $R^n$. A criteria of existence and nonexistence of positive solutions is given by the exponents of the rate of nonlinear terms at infinity.

Keywords

35J6035J45
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 1 , January 2005 , pp. 97 - 114
Copyright
2005 Glasgow Mathematical Journal Trust

Footnotes

This work is supported by NNSF of China (Grant: No.10171029).