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].
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页码：245 / 252
页数：8
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