Archive for Rational Mechanics and Analysis

, Volume 168, Issue 3, pp 245–252 | Cite as

Quasiconvex Functions and Hessian Equations

  • Daniel Faraco
  • Xiao Zhong

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].

Keywords

Symmetric Function Symmetric Matrice Elementary Symmetric Function Quasiconvex Function Hessian Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Daniel Faraco
    • 1
  • Xiao Zhong
    • 2
  1. 1.University of Jyväskylä, Department of Mathematics and Statistics and Max-Planck Institute, Leipzig, e-mail: faraco.mis.mpg.de
  2. 2.Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences and University of Jyväskylä, Department of Mathematics and Statistics, e-mail: zhong@math.jyu.fi

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