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Type: Artigo de periódico
Title: An Elliptic System And The Critical Hyperbola
Author: Ferreira L.C.F.
Medeiros E.
Montenegro M.
Abstract: We consider a nonlinear elliptic system of Lane-Emden type in the whole space ℝn , namely (Formula presented). Our region for (p,q ) covers in particular the critical and supercritical cases with respect to the critical hyperbola (Formula presented) + (Formula presented) + (Formula presented)= (Formula presented). We prove existence of solutions for f ∈ Ld (ℝn), by means of a fixed point technique in the Lebesgue space Lr1 × Lr2. Our results allow unbounded solutions without Hs -regularity. The solutions are shown to be classical and positive when f is smooth enough and positive. Moreover, if f is radial or odd (or even), we prove that the solutions preserve these properties. Also, it is shown that the solutions (u,v ) are nonradial when f is nonradial.
Editor: American Institute of Mathematical Sciences
Rights: fechado
Identifier DOI: 10.3934/cpaa.2015.14.1169
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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