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|Type:||Artigo de periódico|
|Title:||An Elliptic System And The Critical Hyperbola|
|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|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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