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- Title
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems.
- Authors
Chen, Li; Tu, Qiang; Wu, Di; Xiang, Ni
- Abstract
In this paper we study a normalized anisotropic Gauss curvature flow of strictly convex, closed hypersurfaces in the Euclidean space. We prove that the flow exists for all time and converges smoothly to the unique, strictly convex solution of a Monge-Ampère type equation and we obtain a new existence result of solutions to the Dual Orlicz-Minkowski problem for smooth measures, especially for even smooth measures.
- Subjects
HYPERSURFACES; EUCLIDEAN algorithm; MONGE-Ampere equations; PARTIAL differential equations; CONVEX functions
- Publication
Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2022, Vol 152, Issue 1, p148
- ISSN
0308-2105
- Publication type
Article
- DOI
10.1017/prm.2020.102