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A flow method for a generalization of $L_{p}$ Christofell-Minkowski problem
- Publication Year :
- 2022
-
Abstract
- In this paper, a generalization of the $L_{p}$-Christoffel-Minkowski problem is studied. We consider an anisotropic curvature flow and derive the long-time existence of the flow. Then under some initial data, we obtain the existence of smooth solutions to this problem for $c=1$.<br />arXiv admin note: substantial text overlap with arXiv:2011.11408
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
Generalization
Applied Mathematics
Flow method
General Medicine
Curvature
Mathematics - Analysis of PDEs
Differential Geometry (math.DG)
Flow (mathematics)
FOS: Mathematics
35J96, 35J75, 53A15, 53A07
Mathematics::Differential Geometry
Analysis
Minkowski problem
Analysis of PDEs (math.AP)
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....dd3c11ad72fa61ee5058e2eb4c61f10c