Geodesic
Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems
Electronic journal of differential equations, Tome 2010 (2010)
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.
Classification : 35P65, 35P30
Keywords: p-Laplacian operator, nonvariational system, blow up method, Leray-Schauder topological degree 
@article{EJDE_2010__2010__a173,
     author = {Djellit,  Ali and Moussaoui,  Mohand and Tas,  Saadia},
     title = {Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1189.35079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a173/}
}
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%A Tas,  Saadia
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%J Electronic journal of differential equations
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Djellit,  Ali; Moussaoui,  Mohand; Tas,  Saadia. Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a173/