Optimal concavity of some Hessian operators and the prescribed σ2 curvature measure problem

被引：12

作者：

Chen ChuanQiang ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2013年 / 56卷 / 03期

关键词：

Hessian operator; curvature measures; k-convex; k-admissible solution; ELLIPTIC-EQUATIONS; CONVEXITY;

D O I：

10.1007/s11425-012-4483-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a minimal value problem and obtain an algebraic inequality. As an application, we obtain the optimal concavity of some Hessian operators and then establish the C-2 a priori estimate for a class of prescribed sigma(2) curvature measure equations.

引用

页码：639 / 651

页数：13

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