Positive radial solutions for p-Laplacian systems

• Autores: Donal O'Regan, Haiyan Wang
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 1-2, 2008, págs. 43-50
• Idioma: inglés
• DOI: 10.1007/s00010-007-2909-3
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• Resumen

  • The paper deals with the existence of positive radial solutions for the p-Laplacian system div(|? u i | p-2? u i ) + f i (u 1, ..., u n ) = 0, |x| < 1, u i (x) = 0, on 1, x \in {{\mathbb{R}}}^N$$ > . Here f i , i = 1,...,n, are continuous and nonnegative functions. Let and f 8 = ? n i=1 f i 8. We prove that f 0 = 8 and f 8 = 0 (sublinear), guarantee the existence of positive radial solutions for the problem. Our methods employ fixed point theorems in a cone.