Ali Djellit, Mohand Moussaoui, Saadia Tas
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.
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Ali Djellit University of Annaba, Faculty of Sciences Department of Mathematics, BP 12 23000 Annaba, Algeria email: a_djellit@hotmail.com |
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| Mohand Moussaoui Ecole Centrale de Lyon, Department of Mathematics 36 Rue de Collongue, 69130 Ecully, France email: mohand.moussaoui@ec-lyon.fr | |
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Saadia Tas University of Bejaia, Faculty of Sciences and Engineering Sciences Department of Mathematics, 06000 Bejaia, Algeria email: tas_saadia@yahoo.fr |
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