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

Bowen HU & Yunhua Ye

DOI: 10.4208/jpde.v23.n4.6

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

Published online: 2010-11

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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.

  • Keywords

Elementary symmetric function logarithmic gradient estimate

  • AMS Subject Headings

35J60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-23-389, author = {Bowen HU and Yunhua Ye }, title = {Logarithmic Gradient Estimates to Hessian-type Equations}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {4}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n4.6}, url = {http://global-sci.org/intro/article_detail/jpde/5241.html} }
TY - JOUR T1 - Logarithmic Gradient Estimates to Hessian-type Equations AU - Bowen HU & Yunhua Ye JO - Journal of Partial Differential Equations VL - 4 SP - 389 EP - 400 PY - 2010 DA - 2010/11 SN - 23 DO - http://doi.org/10.4208/jpde.v23.n4.6 UR - https://global-sci.org/intro/article_detail/jpde/5241.html KW - Elementary symmetric function KW - logarithmic gradient estimate AB -

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.

Bowen HU and Yunhua Ye . (2010). Logarithmic Gradient Estimates to Hessian-type Equations. Journal of Partial Differential Equations. 23 (4). 389-400. doi:10.4208/jpde.v23.n4.6
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