Quasiconvex Functions and Hessian Equations |
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| Authors: | Daniel Faraco Xiao Zhong |
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| Affiliation: | 1.University of Jyv?skyl?, Department of Mathematics and Statistics and Max-Planck Institute, Leipzig, e-mail: faraco.mis.mpg.de,;2.Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences and University of Jyv?skyl?, Department of Mathematics and Statistics, e-mail: zhong@math.jyu.fi, |
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| Abstract: | S n×n 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 Šverák [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]. (Accepted January 3, 2003) Published online May 13, 2003 Communicated by V. Šverák |
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