Quasiconvex functions and Hessian equations

被引：14

作者：

Faraco, D ^{[1
]}

Zhong, X

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, SF-40351 Jyvaskyla, Finland

[2] Max Planck Inst, Leipzig, Germany

[3] Wuhan Inst Phys & Math, Wuhan, Peoples R China

[4] Chinese Acad Sci, Beijing 100864, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2003年 / 168卷 / 03期

关键词：

Symmetric Function; Symmetric Matrice; Elementary Symmetric Function; Quasiconvex Function; Hessian Equation;

D O I：

10.1007/s00205-003-0255-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we construct new examples of quasiconvex functions defined on the set S-nxn of symmetric matrices. They are built on the k-th elementary symmetric function of the eigenvalues, k = 1,2,...,n. Our motivation came from a paper by Sverak [S]. The proof of our result relies on the theory of the so-called k-Hessian equations, which have been intensively studied recently; see [CNS,T1,TW1,TW2].

引用

页码：245 / 252

页数：8

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