Regularity of a free boundary for viscosity solutions of nonlinear elliptic equations

被引：0
|
作者：
Lee, KA [1 ]
Shahgholian, H
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
[2] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2001年 / 54卷 / 01期
关键词：
D O I：
10.1002/1097-0312(200101)54:1<43::AID-CPA2>3.0.CO;2-T
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our objective in this paper is to analyze the regularity of the boundary of a set Omega2 that admits a solution u to the following overdetermined problem: F(D(2)u) = chi (Omega) in B, u = \ delu \ = 0 in B \ Omega. Here F is a convex, uniformly elliptic operator of homogeneity one, B is the unit ball in R-n, and the equation is satisfied in the viscosity sense. We also consider the case of concave F in R-2.
引用
收藏
页码：43 / 56
页数：14
相关论文
共 50 条
12345