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

Chen, Li, Liu, YanNan, Lu, Jian, Xiang, Ni

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.

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