THE ALEKSANDROV-BAKELMAN-PUCCI ESTIMATES FOR SINGULAR FULLY NONLINEAR OPERATORS

被引：8

作者：

Junges Miotto, T. ^{[1
]}

机构：

[1] Univ Fed Santa Maria, Dept Matemat, Av Roraima,1000 CCNE, BR-97105900 Santa Maria, RS, Brazil

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2010年 / 12卷 / 04期

关键词：

Fully nonlinear operators; viscosity solutions; ABP estimates; 2ND-ORDER ELLIPTIC-OPERATORS; MAXIMUM PRINCIPLE; VISCOSITY SOLUTIONS; UNBOUNDED-DOMAINS; GENERAL DOMAINS; EQUATIONS; EIGENVALUE;

D O I：

10.1142/S0219199710003956

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main scope of this paper is to obtain Aleksandrov-Bakelman-Pucci estimates (ABP estimates) for viscosity solutions of singular fully nonlinear operator, which includes the p-Laplacian operator, p > 1.

引用

页码：607 / 627

页数：21

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