A minimum problem with free boundary for a degenerate quasilinear operator

被引：68
作者：
Danielli, D [1 ]
Petrosyan, A
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[2] Univ Texas, Dept Math, Austin, TX 78712 USA
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 23卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/s00526-004-0294-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove C-1,C-alpha regularity (near flat points) of the free boundary theta{u > 0} boolean AND Omega in the Alt-Caffarelli type minimum problem for the p-Laplace operator: J(u) = integral(Omega) (vertical bar del u vertical bar(p) + lambda(p)x({u > 0})) dx -> min (1 < P < infinity).
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页码：97 / 124
页数：28
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