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Type: Artigo de periódico
Title: Non-variational elliptic systems in dimension two: a priori bounds and existence of positive solutions
Author: de Figueiredo, DG
Joao, MD
Ruf, B
Abstract: We establish a priori bounds for positive solutions of semilinear elliptic systems of the form {-Delta u = g(x, u, v) in Omega, -Delta v = f(x, u, v) in Omega, u > 0, v > 0 in Omega, u = v = 0 on partial derivative Omega, where Omega is a bounded and smooth domain in R(2). We obtain results concerning such bounds when f and g depend exponentially on u and v. Based on these bounds, existence of positive solutions is proved.
Subject: Elliptic systems
a priori estimates
Country: Suíça
Editor: Birkhauser Verlag Ag
Rights: fechado
Identifier DOI: 10.1007/s11784-008-0069-2
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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