, Volume 168, Issue 3, pp 245-252

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].

(Accepted January 3, 2003) Published online May 13, 2003
Communicated by V. Šverák