Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68704
Type: Artigo de periódico
Title: On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space
Author: Ferreira, LCF
Medeiros, ES
Montenegro, M
Abstract: We study the Laplace equation in the half-space with a nonlinear supercritical Robin boundary condition on , where n a parts per thousand yen 3 and lambda a parts per thousand yen 0. Existence of solutions is obtained by means of a fixed point argument for a small data . The indexes p, q are chosen for the norm to be invariant by scaling of the boundary problem. The solution u is positive whether f(x) > 0 a.e. . When f is radially symmetric, u is invariant under rotations around the axis {x (n) = 0}. Moreover, in a certain L (q) -norm, we show that solutions depend continuously on the parameter lambda a parts per thousand yen 0.
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s00526-012-0531-2
Date Issue: 2013
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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