Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/54481
Type: Artigo de periódico
Title: An Obstacle Problem in a Plane Domain with two Solutions
Author: Figueiredo, GM
Furtado, M
Montenegro, M
Abstract: We prove the existence of two nontrivial solutions for the variational inequality integral(Omega) del u del(v - u) >= integral(Omega) f(u)(v - u) for every nu belonging to some convex set, where Omega subset of R-2. The function f has critical exponential growth, in the sense that it behaves like exp(alpha(0)s(2)) as vertical bar s vertical bar -> infinity, for some alpha(0) > 0. We use variational methods for lower semicontinuous functionals.
Subject: obstacle problem
exponential critical growth
Trudinger-Moser inequality
Country: EUA
Editor: Advanced Nonlinear Studies, Inc
Citation: Advanced Nonlinear Studies. Advanced Nonlinear Studies, Inc, v. 14, n. 2, n. 327, n. 337, 2014.
Rights: fechado
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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