Strictly convex Wulff shapes and $C^1$ convex integrands
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- by Huhe Han and Takashi Nishimura PDF
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Abstract:
In this paper, it is shown that a Wulff shape is strictly convex if and only if its convex integrand is of class $C^1$. Moreover, applications of this result are given.References
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Additional Information
- Huhe Han
- Affiliation: Graduate School of Environment and Information Sciences,Yokohama National University, Yokohama 240-8501, Japan
- Email: han-huhe-bx@ynu.jp
- Takashi Nishimura
- Affiliation: Research Institute of Environment and Information Sciences, Yokohama National University, Yokohama 240-8501, Japan
- MR Author ID: 232641
- Email: nishimura-takashi-yx@ynu.jp
- Received by editor(s): January 24, 2016
- Received by editor(s) in revised form: September 22, 2016, and September 26, 2016
- Published electronically: April 7, 2017
- Communicated by: Ken Ono
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3997-4008
- MSC (2010): Primary 52A20, 52A55, 82D25
- DOI: https://doi.org/10.1090/proc/13510
- MathSciNet review: 3665051