TY - JOUR
T1 - Logarithmic Gradient Estimates to Hessian-type Equations
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 - <p>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.</p>