A Brunn–Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain
A Brunn–Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain
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DOI：
10.1016/j.aim.2010.04.003
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发表时间：
2010-10
影响因子：
1.7
通讯作者：
Pan Liu;Xinan Ma;Lu Xu
中科院分区：
文献类型：
--
作者：
Pan Liu;Xinan Ma;Lu Xu
利用变形方法得到了一类Hessian方程在R3有界凸域上解的严格对数凹性，作为应用，得到了Hessian特征值的Brunn-Minkowski不等式，并刻画了在R3有界严格凸域上的相等情况。
We use the deformation methods to obtain the strictly log concavity of solution of a class Hessian equation in bounded convex domain in R3, as an application we get the Brunn–Minkowski inequality for the Hessian eigenvalue and characterize the equality case in bounded strictly convex domain in R3.