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The lp minkowski problem for the electrostatic p-capacity

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2103.10002

Journal of Differential Geometry, (6), 555-596, 2020.12
Existence and uniqueness of the solution to the Lp Minkowski problem for the electrostatic p-capacity are proved when p > 1 and 1 < p < n. These results are nonlinear extensions of the very recent solution to the Lp Minkowski problem for p-capacity when p = 1 and 1 < p < n by Colesanti et al. and Akman et al., and the classical solution to the Minkowski problem for electrostatic capacity when p = 1 and p = 2 by Jerison.
Minkowski problem, p-capacity, convex body, Brunn-Minkowski theory
[ Download ] [ 2021-03-23 13:23:48 uploaded by xiongge ] [ 784 downloads ] [ 0 comments ] 
@inproceedings{zou2020the,
  title={THE Lp MINKOWSKI PROBLEM FOR THE ELECTROSTATIC p-CAPACITY},
  author={Zou Du, and Xiong Ge},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20210323132348327705753},
  booktitle={Journal of Differential Geometry},
  number={6},
  pages={555-596},
  year={2020},
}
Zou Du, and Xiong Ge. THE Lp MINKOWSKI PROBLEM FOR THE ELECTROSTATIC p-CAPACITY. 2020. In Journal of Differential Geometry. pp.555-596. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20210323132348327705753.
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