Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The double and triple bubble problem for stationary varifolds: The convex case
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by Antonio De Rosa and Riccardo Tione;
Trans. Amer. Math. Soc. 378 (2025), 3393-3444
DOI: https://doi.org/10.1090/tran/9400
Published electronically: February 11, 2025

Abstract:

We characterize the critical points of the double bubble problem in $\mathbb {R}^n$ and the triple bubble problem in $\mathbb {R}^3$, in the case the bubbles are convex.
References
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Bibliographic Information
  • Antonio De Rosa
  • Affiliation: Department of Decision Sciences, Bocconi University, Milano, Italy; and BIDSA, Bocconi University, Milano, Italy
  • MR Author ID: 1141319
  • ORCID: 0000-0002-1392-4881
  • Email: antonio.derosa@unibocconi.it
  • Riccardo Tione
  • Affiliation: Dipartimento di Matematica “Giuseppe Peano”, Università degli Studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
  • MR Author ID: 1321530
  • ORCID: 0000-0002-0094-5923
  • Email: riccardo.tione@unito.it
  • Received by editor(s): June 7, 2024
  • Received by editor(s) in revised form: July 30, 2024, and October 15, 2024
  • Published electronically: February 11, 2025
  • Additional Notes: The first author was partially supported by the NSF DMS Grant No. 1906451, the NSF DMS Grant No. 2112311, the NSF DMS CAREER Award No. 2143124, and the European Union: the European Research Council (ERC), through StG “ANGEVA”, project number: 101076411. Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them.
  • © Copyright 2025 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 378 (2025), 3393-3444
  • MSC (2020): Primary 35D30, 49Q05, 49Q20, 52A20, 53A10
  • DOI: https://doi.org/10.1090/tran/9400