Moser-Trudinger type inequalities for the Hessian equation

Tian, Guji; Wang, Xu-Jia

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Moser-Trudinger type inequalities for the Hessian equation

Date

2010

Authors

Tian, Guji

Wang, Xu-Jia

Publisher

Academic Press

Abstract

The k-Hessian equation for k≥2 is a class of fully nonlinear partial differential equation of divergence form. A Sobolev type inequality for the k-Hessian equation was proved by the second author in 1994. In this paper, we prove the Moser-Trudinger type