The Dual Orlicz–Minkowski Problem

By Baocheng Zhu, Sudan Xing, Deping Ye. 2017

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In this paper, the dual Orlicz curvature measure is proposed and its basic properties are provided. A variational formula for the dual Orlicz-quermassintegral is established in order to give a geometric interpretation of the dual Orlicz curvature measure. Based on the established variational formula, a solution to the dual Orlicz–Minkowski problem regarding the dual Orlicz curvature measure is provided.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/df1da65b5353817f5d7cfa4b87d12bf9031698df