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The multi-layer free boundary problem for the p-Laplacian in convex domains
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-1316-7913
2004 (English)In: Interfaces and free boundaries (Print), ISSN 1463-9963, E-ISSN 1463-9971, Vol. 6, no 1, 81-103 p.Article in journal (Refereed) Published
Abstract [en]

The main result of this paper concerns existence of classical solutions to the multi-layer Bernoulli free boundary problem with nonlinear joining conditions and the p-Laplacian as governing operator. The present treatment of the two-layer case involves technical refinements of the one-layer case, studied earlier by two of the authors. The existence treatment of the multi-layer case is largely based on a reduction to the two-layer case, in which uniform separation of the free boundaries plays a key role.

Place, publisher, year, edition, pages
2004. Vol. 6, no 1, 81-103 p.
Keyword [en]
classical-solutions, elliptic-equations, successive approximation, joining conditions, existence, regularity, operator, points
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-23342ISI: 000220885000004Scopus ID: 2-s2.0-1642330424OAI: oai:DiVA.org:kth-23342DiVA: diva2:342040
Note
QC 20100525 QC 20111031Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Shahgholian, Henrik

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