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

页码：43 / 56

页数：14

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