论文标题
存在双重orlicz-minkowski问题的平滑解决方案
Existence of smooth even solutions to the dual Orlicz-Minkowski problem
论文作者
论文摘要
在本文中,我们研究了双重Orlicz-Minkowski问题,这是凸几何形状中双重Minkowski问题的概括。通过考虑涉及高斯曲率以及正常向量和径向向量的功能的几何流量,我们获得了平滑溶液解决此问题的新的结果,以进行平滑的措施。
In this paper we study the dual Orlicz-Minkowski problem, which is a generalization of the dual Minkowski problem in convex geometry. By considering a geometric flow involving Gauss curvature and functions of normal vectors and radial vectors, we obtain a new existence result of smooth even solutions to this problem for smooth even measures.