Logarithmic Gradient Estimates to Hessian-type Equations

Logarithmic Gradient Estimates to Hessian-type Equations

Year:    2010

Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 4 : pp. 389–400

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 4 : pp. 389–400

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Elementary symmetric function