WFRF:(Poghosyan M)
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The multi-layer free boundary problem for the p-Laplacian in convex domains
- Acker, A. (author)
- Henrot, A. (author)
- Poghosyan, M. (author)
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- (creator_code:org_t)
- 2004
- 2004
- English.
- In: Interfaces and free boundaries (Print). - 1463-9963 .- 1463-9971. ; 6:1, s. 81-103
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- classical-solutions
- elliptic-equations
- successive approximation
- joining conditions
- existence
- regularity
- operator
- points
Publication and Content Type
- ref (subject category)
- art (subject category)
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- Acker, A.
- Henrot, A.
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- NATURAL SCIENCES
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- Royal Institute of Technology
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