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Type: Artigo de periódico
Title: Positive versus free boundary solutions to a singular elliptic equation
Author: Davila, J
Montenegro, M
Abstract: The equation -Deltau = chi({u>0}) (-1/ubeta + lambdaf (x,u)) in Omega with Dirichlet boundary condition on partial derivativeOmega has a maximal solution u(lambda) greater than or equal to 0 for every lambda > 0. For lambda less than a constant lambda*, the solution vanishes inside the domain; and for lambda > lambda*, the solution is positive. We obtain optimal regularity of u(lambda) even in the presence of the free boundary.
Country: Israel
Editor: Magnes Press
Citation: Journal D Analyse Mathematique. Magnes Press, v. 90, n. 303, n. 335, 2003.
Rights: fechado
Identifier DOI: 10.1007/BF02786560
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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