The multi-layer free boundary problem for the p-Laplacian in convex domains
2004 (English)In: Interfaces and free boundaries (Print), ISSN 1463-9963, Vol. 6, no 1, 81-103 p.Article in journal (Refereed) Published
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.
classical-solutions, elliptic-equations, successive approximation, joining conditions, existence, regularity, operator, points
IdentifiersURN: urn:nbn:se:kth:diva-23342ISI: 000220885000004ScopusID: 2-s2.0-1642330424OAI: oai:DiVA.org:kth-23342DiVA: diva2:342040
QC 20100525 QC 201110312010-08-102010-08-102011-10-31Bibliographically approved