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Mohammed Barkatou
Some Geometric Properties for a Class of Non-Lipschitz Domains
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| Published: |
November 21, 2002
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| Keywords: |
convergence of domains, normal cone, Sobolev capacity, stability of the Dirichlet problem, Steiner symmetrization, Wiener criterion |
| Subject: |
35J05, 51A05 and 52A20 |
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Abstract
In this paper, we introduce a class C, of domains of
RN, N≧ 2, which satisfy a geometric property of the inward
normal (such domains are not Lipschitz, in general). We begin by giving
various results concerning this property, and we show the stability of the
solution of the Dirichlet problem when the domain varies in C.
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| Author information
9-3405, Chemin des Quatre-Bourgeois, Sainte-Foy (Quebec) G1W 2L1 Canada
mohammed.barkatou@ramq.gouv.qc.ca
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