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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Bounded Palais-Smale sequences with Morse type information for some constrained functionals
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by Jack Borthwick, Xiaojun Chang, Louis Jeanjean and Nicola Soave
Trans. Amer. Math. Soc.
DOI: https://doi.org/10.1090/tran/9145
Published electronically: April 9, 2024

Abstract:

In this paper, we study, for functionals having a minimax geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
References
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Bibliographic Information
  • Jack Borthwick
  • Affiliation: Université de Franche Comté, CNRS, LMB (UMR 6623), F-25000 Besançon, France
  • MR Author ID: 1298363
  • ORCID: 0000-0002-7183-0752
  • Email: jack.borthwick@math.cnrs.fr
  • Xiaojun Chang
  • Affiliation: School of Mathematics and Statistics & Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, Jilin, People’s Republic of China
  • MR Author ID: 846112
  • ORCID: 0000-0003-4141-1992
  • Email: changxj100@nenu.edu.cn
  • Louis Jeanjean
  • Affiliation: Université de Franche Comté, CNRS, LMB (UMR 6623), F-25000 Besançon, France
  • MR Author ID: 318795
  • ORCID: 0000-0002-7864-0900
  • Email: louis.jeanjean@univ-fcomte.fr
  • Nicola Soave
  • Affiliation: Dipartimento di Matematica “Giuseppe Peano”, Università degli Studi di Torino, Via Carlo Alberto 10, 10123, Torino, Italy
  • MR Author ID: 955098
  • ORCID: 0000-0002-1079-5658
  • Email: nicola.soave@unito.it
  • Received by editor(s): December 22, 2022
  • Received by editor(s) in revised form: July 11, 2023, January 11, 2024, and February 6, 2024
  • Published electronically: April 9, 2024
  • Additional Notes: The first author was supported by the French “Investissements d’Avenir” program, project ISITE-BFC (contract ANR- 15-IDEX-0003).
    The second author was partially supported by NSFC (11971095).
    The third author was partially supported by the Project NQG (ANR-23-CE40-0005-01), funded by the French National Research Agency (ANR)
    The fourth author is partially supported by the PRIN 2022 project 2022R537CS $NO^3$ - Nodal Optimization, NOnlinear elliptic equations, NOnlocal geometric problems, with a focus on regularity (European Union - Next Generation EU), and by the INdAM - GNAMPA group
  • © Copyright 2024 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc.
  • MSC (2020): Primary 35J60, 47J30
  • DOI: https://doi.org/10.1090/tran/9145