Ali Djellit, Mohand Moussaoui, Saadia Tas
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
| Mohand Moussaoui |
Ecole Centrale de Lyon, Department of Mathematics
36 Rue de Collongue, 69130 Ecully, France
| Saadia Tas |
University of Bejaia, Faculty of Sciences and Engineering Sciences
Department of Mathematics, 06000 Bejaia, Algeria
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