Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/66307
Type: Artigo de periódico
Title: Existence of Solutions to a Singular Elliptic Equation
Author: Montenegro, M
Abstract: We study the equation -Delta u = (-1/u(beta) +lambda u(p))chi{u>0} in Omega with Dirichlet boundary condition, where 0 < p < 1 and 0 < beta < 1. We regularize the term 1/u(beta) near u similar to 0 by using a function g(epsilon)(u) which pointwisely tends to 1/u(beta) as epsilon -> 0. When the parameter lambda > 0 is large enough, the corresponding energy functional has critical points u(epsilon). Letting epsilon -> 0, then u(epsilon) converges to a solution of the original problem, which is nontrivial, nonnegative and vanishes at some portion of Omega. There are two nontrivial solutions.
Subject: Singular problems
multiple solutions
variational methods
estimates
Country: Suíça
Editor: Birkhauser Verlag Ag
Rights: fechado
Identifier DOI: 10.1007/s00032-011-0152-9
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
WOS000294069700020.pdf211.99 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.