Quasiconvex Functions and Hessian Equations
- Cite this article as:
- Faraco, D. & Zhong, X. Arch. Rational Mech. Anal. (2003) 168: 245. doi:10.1007/s00205-003-0255-8
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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].