Sabrine Gontara
Abstract:
 In this article, we study the existence and nonexistence of solutions for the
 system
 
 where 
 ,
, 
 , p,q are two nonnegative
 functions on
, p,q are two nonnegative
 functions on 
 and A, B satisfy appropriate conditions.
 Using potential theory tools, we show the  existence of a positive 
 continuous solution. This allows us to prove the existence of entire 
 positive radial solutions for some elliptic systems.
 and A, B satisfy appropriate conditions.
 Using potential theory tools, we show the  existence of a positive 
 continuous solution. This allows us to prove the existence of entire 
 positive radial solutions for some elliptic systems.
 
 Submitted January 20, 2012. Published April 10, 2012.
Math Subject Classifications: 35J56, 31B10, 34B16, 34B27.
Key Words: Nonlinear equation; Green's function; asymptotic behavior;
           singular operator; positive solution.
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|  | Sabrine Gontara Dépatement de mathématiques Faculté des sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: sabrine-28@hotmail.fr | 
|---|
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