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- W2099990850 abstract "The purpose of this article is to discuss compactness estimate for the -Neumann problem at a boundary with mixed Levi signature. We consider a domain D ⊂⊂ ℂ n which is q-pseudoconvex and introduce the ‘(q − P) property’ which is the natural variant of the classical ‘P property’ by Catlin adapted to the new class of domains. In Section 1, we prove that (q − P) property implies compactness estimate. Next, in Section 2, we introduce the notion of ‘weak q regularity’ of ∂D, the natural variant of the classical ‘weak regularity’ by Catlin and prove that it implies (q − P) property. In Section 3, we recall how compactness yields Sobolev estimates. In Section 4, we give a criterion for weak q regularity of a real-analytic boundary and finally, in Section 5, we exhibit a class of weakly q regular domains." @default.
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- W2099990850 date "2012-12-01" @default.
- W2099990850 modified "2023-09-26" @default.
- W2099990850 title "Compactness estimate for the -Neumann problem on a<i>Q</i>-pseudoconvex domain" @default.
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- W2099990850 doi "https://doi.org/10.1080/17476933.2010.551196" @default.
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