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| Home > Articles > Published articles > A stability result for nonlinear neumann problems in reifenberg flat domains in Rn |
| 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 |
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| 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 |
