On the Hessian matrix and Minkowski addition of quasiconvex functions
نویسندگان
چکیده
منابع مشابه
Quasiconvex functions and Hessian equations
In this note we construct new examples of quasiconvex functions defined on the set Sn×n of symmetric matrices. They are built on the k-th elementary symmetric function of the eigenvalues, k = 1, 2, ..., n. The idea is motivated by Šverák’s paper [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], [T], [...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2007
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2007.06.007