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The multi-layer free boundary problem for the p-Laplacian in convex domains
Acker, Andrew Henrot, Antoine Poghosyan, Mikayel Shahgholian, Henrik
Acker, Andrew
Henrot, Antoine
Poghosyan, Mikayel
Shahgholian, Henrik
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2004-08-21
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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.
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European Mathematical Society
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Interfaces and Free Boundaries;v.6 no.1
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1463-9963
1463-9971
1463-9971