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
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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