Counterexamples and uniqueness for \(L^{p}(\partial \Omega )\) oblique derivative problems
type: Item
instance of: scholarly article
title: Counterexamples and uniqueness for \(L^{p}(\partial \Omega )\) oblique derivative problems
zbMATH Open document ID: 1136.35023
author: Gregory Verchota
published in: Journal of Functional Analysis
publication date: 2007-06-04T00:00:00Z
review text: Explicit examples with vanishing oblique derivative in \(L^p\), \(p\leq 2\), are given, where the continuous vector field is replaced by a large perturbation of the normal vector field. Other example and Fredholm properties of some non-variational layer potential are discussed.
reviewed by: Giuseppe Di Fazio
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 31B05
zbMATH DE Number: 5161230
zbMATH Keywords: oblique derivative problems
zbMATH Keywords: inner function
zbMATH Keywords: circular monotonicity
zbMATH Keywords: layer potentials
zbMATH Keywords: Lipschitz domain
zbMATH Keywords: nontangential limits
MaRDI profile type: Publication
full work available at URL: j.jfa.2007.01.001
OpenAlex ID: W2042338041
Wikidata QID: Q125055278
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DOI: 10.1016/J.JFA.2007.01.001
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description: scientific article; zbMATH DE number 5161230