On the discrete Orlicz Minkowski problem
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- by Yuchi Wu, Dongmeng Xi and Gangsong Leng PDF
- Trans. Amer. Math. Soc. 371 (2019), 1795-1814 Request permission
Abstract:
In this paper, we demonstrate the existence part of the discrete Orlicz Minkowski problem, which is a non-trivial extension of the discrete $L_p$ Minkowski problem for $0<p<1$.References
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Additional Information
- Yuchi Wu
- Affiliation: Department of Mathematics, Shanghai University, Shanghai 200444, People’s Republic of China
- Email: wuyuchi1990@126.com
- Dongmeng Xi
- Affiliation: Department of Mathematics, Shanghai University, Shanghai 200444, People’s Republic of China – and – Department of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
- MR Author ID: 1060858
- Email: dongmeng.xi@live.com
- Gangsong Leng
- Affiliation: Department of Mathematics, Shanghai University, Shanghai 200444, People’s Republic of China
- MR Author ID: 323352
- Email: gleng@staff.shu.edu.cn
- Received by editor(s): January 27, 2017
- Received by editor(s) in revised form: June 22, 2017, and July 4, 2017
- Published electronically: October 1, 2018
- Additional Notes: The second author is the corresponding author
Research of the first named and third named authors was supported by NSFC 11671249 and Shanghai Leading Academic Discipline Project (S30104).
Research of the second named author was sponsored by Shanghai Sailing Program 16YF1403800, NSFC 11601310, and CPSF BX201600035. - © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 371 (2019), 1795-1814
- MSC (2010): Primary 52A40
- DOI: https://doi.org/10.1090/tran/7350
- MathSciNet review: 3894035