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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Strictly convex Wulff shapes and $C^1$ convex integrands
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by Huhe Han and Takashi Nishimura PDF
Proc. Amer. Math. Soc. 145 (2017), 3997-4008 Request permission

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