MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Smooth solutions to the Lp dual Minkowski problem

Chuanqiang Chen Zhejiang University of Technology Yong Huang Hunan University Yiming Zhao Massachusetts Institute of Technology

Convex and Discrete Geometry mathscidoc:1911.43008

Math. Ann., 373, 953-976, 2019
In this paper, we consider the L p dual Minkowski problem by geometric variational method. Using anisotropic Gauss–Kronecker curvature flows, we establish the existence of smooth solutions of the L p dual Minkowski problem when pq ≥ 0 and the given data is even. If f ≡ 1, we show under some restrictions on p and q that the only even, smooth, uniformly convex solution is the unit ball.
No keywords uploaded!
[ Download ] [ 2019-11-25 14:03:42 uploaded by YHuang ] [ 1045 downloads ] [ 0 comments ] 
@inproceedings{chuanqiang2019smooth,
  title={Smooth solutions to the Lp dual Minkowski problem},
  author={Chuanqiang Chen, Yong Huang, and Yiming Zhao},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191125140342302031518},
  booktitle={Math. Ann.},
  volume={373},
  pages={953-976},
  year={2019},
}
Chuanqiang Chen, Yong Huang, and Yiming Zhao. Smooth solutions to the Lp dual Minkowski problem. 2019. Vol. 373. In Math. Ann.. pp.953-976. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191125140342302031518.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved