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On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2009 (English)In: Journal of Mathematical Sciences, ISSN 1072-3374, Vol. 159, no 1, 104-112 p.Article in journal (Refereed) Published
Abstract [en]

It 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 the regularity of solutions to the Neumann problem on convex polyhedra are given. Bibliography: 27 titles.

Place, publisher, year, edition, pages
2009. Vol. 159, no 1, 104-112 p.
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Mathematics
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URN: urn:nbn:se:liu:diva-21532DOI: 10.1007/s10958-009-9430-2OAI: oai:DiVA.org:liu-21532DiVA: diva2:241488
Available from: 2009-10-03 Created: 2009-10-02 Last updated: 2009-10-03

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Maz´ya, Vladimir

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