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.
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页码：803 / 812
页数：10
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