The multi-layer free boundary problem for the p-Laplacian in convex domains

Loading...
Thumbnail Image
Authors
Acker, Andrew
Henrot, Antoine
Poghosyan, Mikayel
Shahgholian, Henrik
Advisors
Issue Date
2004-08-21
Type
Article
Keywords
Research Projects
Organizational Units
Journal Issue
Citation
Acker, A.,Henrot, A.,Poghosyan,M. and Shahgholian, H.; The multi-layer free boundary problem for the p−Laplacian in convex domains, Interfaces and Free boundaries, 6(2004), 81-103.
Abstract

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 gov- erning operator. The present treatment of the 2-layer case involves technical re¯nements 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.

Table of Contents
Description
Click on the DOI link below to access the article (may not be free).
Publisher
European Mathematical Society
Journal
Book Title
Series
Interfaces and Free Boundaries;v.6 no.1
PubMed ID
DOI
ISSN
1463-9963
1463-9971
EISSN