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Regularity of flat free boundaries in two-phase problems for the p-Laplace operator
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2012 (English)In: Annales de l'Institut Henri Poincare. Analyse non linéar, ISSN 0294-1449, E-ISSN 1873-1430, Vol. 29, no 1, p. 83-108Article in journal (Refereed) Published
Abstract [en]

In this paper we continue the study in Lewis and Nyström (2010) [19], concerning the regularity of the free boundary in a general two-phase free boundary problem for the p-Laplace operator, by proving regularity of the free boundary assuming that the free boundary is close to a Lipschitz graph.

Place, publisher, year, edition, pages
2012. Vol. 29, no 1, p. 83-108
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Mathematics
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URN: urn:nbn:se:uu:diva-163438DOI: 10.1016/j.anihpc.2011.09.002OAI: oai:DiVA.org:uu-163438DiVA, id: diva2:463940
Available from: 2011-12-12 Created: 2011-12-12 Last updated: 2017-12-08Bibliographically approved

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