Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 54, pp. 1-10.

Title: Existence of radial positive solutions vanishing at
       infinity for asymptotically homogeneous systems

Authors: Ali Djellit (Univ. of Annaba, Algeria)
         Mohand Moussaoui (Ecole Centrale de Lyon, France)
	 Saadia Tas (Univ. of Bejaia, Algeria)

Abstract:
 In this article we study elliptic systems called asymptotically homogeneous
 because their nonlinearities may not have polynomial growth. 
 Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and 
 then using Leray-Schauder topological degree theory, we obtain radial 
 positive solutions vanishing at infinity.  

Submitted  November 10, 2009. Published April 19, 2010.
Math Subject Classifications: 35P65, 35P30.
Key Words: p-Laplacian operator; nonvariational system; 
           blow up method; Leray-Schauder topological degree.