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Type: Artigo de periódico
Title: Critical and subcritical elliptic systems in dimension two
Author: de Figueiredo, DG
do O, JM
Ruf, B
Abstract: In this paper we study the existence of nontrivial solutions for the following system of two coupled semilinear Poisson equations: - Deltau = g(u), v > in Omega, (S) -Deltau = f (u), u > in Omega, u = 0, v = 0, on partial derivativeOmega, where Omega is a bounded domain in R-2 with smooth boundary partial derivativeOmega, and the functions f and g have the maximal growth which allow us to treat problem (S) variationally in the Sobolev space H-0(1) (Omega). We consider the case with nonlinearities in the critical growth range Suggested by the so-called Trudinger-Moser inequality.
Subject: elliptic systems
variational methods
critical point theory
critical growth
Trudinger-Moser inequality
Country: EUA
Editor: Indiana Univ Math Journal
Citation: Indiana University Mathematics Journal. Indiana Univ Math Journal, v. 53, n. 4, n. 1037, n. 1054, 2004.
Rights: aberto
Identifier DOI: 10.1512/iumj.2004.53.2402
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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