Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/66223
Type: Artigo de periódico
Title: Exact multiplicity results for a singularly perturbed Neumann problem
Author: Grossi, M
Neves, SLN
Abstract: In this paper we study the number of the boundary single peak solutions of the problem {-epsilon(2)Delta u + u = u(p), in Omega u > 0, in Omega partial derivative u/partial derivative nu = 0 on partial derivative Omega for small and p subcritical. Under some suitable assumptions on the shape of the boundary near a critical point of the mean curvature, we are able to prove exact multiplicity results. Note that the degeneracy of the critical point is allowed.
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s00526-012-0569-1
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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