A stability result for nonlinear neumann problems in reifenberg flat domains in Rn
Lemenant, Antoine (Université Paris Diderot - Paris 7)
Milakis, Emmanouil (University of Cyprus. Department of Mathematics & Statistics)

Date:	2011
Abstract:	In this paper we prove that if Ωk is a sequence of Reifenberg-flat domains in RN that converges to Ω for the complementary Hausdorff distance and if in addition the sequence Ωk has a "uniform size of holes", then the solutions uk of a Neumann problem of the form (. . . ) converge to the solution u of the same Neumann problem in Ω. The result is obtained by proving the Mosco convergence of some Sobolev spaces, that follows from the extension property of Reifenberg-flat domains.
Grants:	European Commission 256481
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Boundary value problems ; Nonlinear elliptic equations ; Hausdorff distance ; Reifenberg-flat sets ; Mosco convergence
Published in:	Publicacions matemàtiques, Vol. 55, Núm. 2 (2011) , p. 413-432, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/244962
DOI: 10.5565/PUBLMAT_55211_08

20 p, 213.7 KB

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