Hessian equations in non-smooth domains

被引：8

作者：

Colesanti, A ^{[1
]}

Salani, P ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 38卷 / 06期

关键词：

D O I：

10.1016/S0362-546X(98)00121-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The class of k-convex functions for kε{1, ..., n} which corresponds to the smooth admissible functions considered. A similar notion, in the context of viscosity solutions, only smooth domains are considered. The existence and uniqueness of viscosity solutions of problem with constant boundary data in (k-1) convex domains are proven.

引用

页码：803 / 812

页数：10

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