Volume 23, Issue 4
Logarithmic Gradient Estimates to Hessian-type Equations

Bowen HU and Yunhua Ye

10.4208/jpde.v23.n4.6

J. Part. Diff. Eq., 23 (2010), pp. 389-400.

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  • 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.

  • History

Published online: 2010-11

  • AMS Subject Headings

35J60

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