A Gauss curvature flow related to the Orlicz-Aleksandrov problem

Abstract

In this paper we first obtain the existence of smooth solutions to Orlicz-Aleksandrov problem via a Gauss-like curvature flow.

arXiv commentarXiv admin note: text overlap with arXiv:1712.07774, arXiv:2001.08862, arXiv:2005.02376, arXiv:2012.11367 by other authors

References in corpus (4)

• Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
• A geometric inequality on hypersurface in hyperbolic space
• Non-scale-invariant inverse curvature flows in Euclidean space
• Deforming a hypersurface by Gauss curvature and support function