Logarithmic Gradient Estimates to Hessian-type Equations

Bowen HU  & Yunhua Ye

doi:10.4208/jpde.v23.n4.6

Logarithmic Gradient Estimates to Hessian-type Equations

Authors

Bowen HU & Yunhua Ye

DOI:

https://doi.org/10.4208/jpde.v23.n4.6

Keywords:

Elementary symmetric function;logarithmic gradient estimate

Abstract

We study logarithmic gradient estimate to smooth admissible solutions of the Hessian-type equations on S^n. The equations contain a Monge-Ampère equation arising in designing a reflecting surface in geometric optics as a special case.

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Published

2020-05-12

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Issue

Vol. 23 No. 4 (2010)

Section

Articles

How to Cite

Logarithmic Gradient Estimates to Hessian-type Equations. (2020). Journal of Partial Differential Equations, 23(4), 389-400. https://doi.org/10.4208/jpde.v23.n4.6