Geodesic
The multi-layer free boundary problem for the p-Laplacian in convex domains
Andrew Acker1 ; Antoine Henrot2 ; Mikayel Poghosyan3 ; Henrik Shahgholian4 orcid
1Wichita State University, USA
2Université de Lorraine, Vandoeuvre-les-Nancy, France
3Yerevan State University, Armenia
4KTH Royal Institute of Technology, Stockholm, Sweden
Interfaces and free boundaries, Tome 6 (2004) no. 1, pp. 81-103

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DOI

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 2-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.
DOI : 10.4171/ifb/92
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Multi-layer free boundary problem

Andrew Acker  1   ; Antoine Henrot  2   ; Mikayel Poghosyan  3   ; Henrik Shahgholian  4

1 Wichita State University, USA
2 Université de Lorraine, Vandoeuvre-les-Nancy, France
3 Yerevan State University, Armenia
4 KTH Royal Institute of Technology, Stockholm, Sweden 
Andrew Acker; Antoine Henrot; Mikayel Poghosyan; Henrik Shahgholian. The multi-layer free boundary problem for the p-Laplacian in convex domains. Interfaces and free boundaries, Tome 6 (2004) no. 1, pp. 81-103. doi: 10.4171/ifb/92
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     title = {The multi-layer free boundary problem for the {p-Laplacian} in convex domains},
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     pages = {81--103},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/92/}
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