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Type: Artigo de periódico
Title: Multidimensional boundary layers for a singularly perturbed Neumann problem
Author: Malchiodi, A
Montenegro, M
Abstract: We continue the study of [34], proving concentration phenomena for the equation -epsilon(2) Deltau + u = u(p) in a smooth bounded domain Omega subset of or equal to R-n and with Neumann boundary conditions. The exponent p is greater than or equal to 1, and the parameter epsilon is converging to zero. For a suitable sequence epsilon(j) --> 0, we prove the existence of positive solutions u(j) concentrating at the whole boundary of Omega or at some of its components.
Country: EUA
Editor: Duke Univ Press
Citation: Duke Mathematical Journal. Duke Univ Press, v. 124, n. 1, n. 105, n. 143, 2004.
Rights: fechado
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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