Malchiodi, A, Rupflin, M and Sharp, B orcid.org/0000-0002-7238-4993 (2024) Lojasiewicz inequalities near simple bubble trees. American Journal of Mathematics, 146 (5). pp. 1361-1397. ISSN 0002-9327
Abstract
In this paper we prove a gap phenomenon for critical points of the H-functional on closed non-spherical surfaces when H is constant, and in this setting furthermore prove that sequences of almost critical points satisfy Lojasiewicz inequalities as they approach the first non-trivial bubble tree.
To prove these results we derive sufficient conditions for Lojasiewicz inequalities to hold near a finite-dimensional submanifold of almost-critical points for suitable functionals on a Hilbert space.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. This is an author produced version of an article published in the American Journal of Mathematics. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 28 Apr 2023 15:55 |
Last Modified: | 17 Oct 2024 09:30 |
Published Version: | https://muse.jhu.edu/article/937946 |
Status: | Published |
Publisher: | Johns Hopkins University Press |
Identification Number: | 10.1353/ajm.2024.a937946 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:198669 |