On symmetrization and Hessian equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1989 English Publisher:Springer Science and Business Media LLCJournal:Journal d’Analyse Mathématique, volume 52, pages 94-106 (issn: 0021-7670, eissn: 1565-8538,

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Authors: Tso, Kaising;

doi: 10.1007/bf02820473

On symmetrization and Hessian equations

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Abstract

A k-Hessian operator and k-Hessian integral \((k=1,...,n)\) are defined respectively by \[ S_ k(\nabla^ 2u)=\sum_{1\leq i_ 1<...

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University of Minnesota Morris
United States
University of Minnesota
United States

Keywords

Monge-Ampère equations, symmetrization, Schwarz symmetrization, Nonlinear boundary value problems for linear elliptic equations, k-Hessian operator, Brunn-Minkowski inequalities, Geometric theory, characteristics, transformations in context of PDEs, k-Hessian integral, Dirichlet problem

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