Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain

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dc.creatorMaz'ya, Vladimir
dc.date2008-09-15
dc.date2008-11-07
dc.date.accessioned2026-07-07T10:16:18Z
dc.date.available2026-07-07T10:16:18Z
dc.descriptionIt is shown that solutions of the Neumann problem for the Poisson equation in an arbitrary convex $n$-dimensional domain are uniformly Lipschitz. Applications of this result to some aspects of regularity of solutions to the Neumann problem on convex polyhedra are given.
dc.identifierhttps://arxiv.org/abs/0809.2514
dc.identifierhttp://arxiv.org/abs/0809.2514
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173459
dc.subjectAnalysis of PDEs
dc.subject54C40, 14E20
dc.titleBoundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain
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