Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation

Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation on Sn.

Bibliographic Details
Main Author: Siyuan Li
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2016/4649150
Description
Summary:Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation on Sn.
ISSN:1110-757X
1687-0042