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Quasiconvex Functions and Hessian Equations

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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].

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Authors and Affiliations

  1. University of Jyväskylä, Department of Mathematics and Statistics and Max-Planck Institute, Leipzig, e-mail: faraco.mis.mpg.de, , , , ,

    Daniel Faraco

  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, , , , ,

    Xiao Zhong

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  1. Daniel Faraco
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  2. Xiao Zhong
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(Accepted January 3, 2003) Published online May 13, 2003

Communicated by V. Šverák

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Faraco, D., Zhong, X. Quasiconvex Functions and Hessian Equations. Arch. Rational Mech. Anal. 168, 245–252 (2003). https://doi.org/10.1007/s00205-003-0255-8

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  • DOI: https://doi.org/10.1007/s00205-003-0255-8

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