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

被引：0

作者：

Acker, A ^{[1
]}

Henrot, A

Poghosyan, M

Shahgholian, H

机构：

[1] Wichita State Univ, Dept Math & Stat, Wichita, KS 67260 USA

[2] Ecole Mines, F-54506 Vandoeuvre Les Nancy, France

[3] Inst Elie Cartan, CNRS, UMR 7502, F-54506 Vandoeuvre Les Nancy, France

[4] INRIA, F-54506 Vandoeuvre Les Nancy, France

[5] Yerevan State Univ, Dept Math, Yerevan 375049, Armenia

[6] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

INTERFACES AND FREE BOUNDARIES | 2004年 / 6卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：81 / 103

页数：23

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