Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/54481
Type: Artigo
Title: An obstacle problem in a plane domain with two solutions
Author: Figueiredo, Giovany M.
Furtado, Marcelo
Montenegro, Marcelo
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.
We prove the existence of two nontrivial solutions for the variational inequality R Ω ∇u∇(v − u) ≥ R Ω f(u)(v − u) for every v belonging to some convex set, where Ω ⊂ R 2 . The function f has critical exponential growth, in the sense that it behaves like
Subject: Desigualdades (Matemática)
Problemas de valores de contorno - Soluções numéricas
Soluções fracas (Matemática)
Country: Alemanha
Editor: Walter de Gruyter GmbH
Citation: Advanced Nonlinear Studies. Advanced Nonlinear Studies, Inc, v. 14, n. 2, n. 327, n. 337, 2014.
Rights: fechado
fechado
Identifier DOI: 0
Address: https://www.degruyter.com/view/j/ans.2014.14.issue-2/ans-2014-0205/ans-2014-0205.xml
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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