Journal article
Łojasiewicz inequalities near simple bubble trees
- Abstract:
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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 Łojasiewicz inequalities as they approach the first non-trivial bubble tree.
To prove these results we derive sufficient conditions for Łojasiewicz inequalities to hold near a finite-dimensional submanifold of almost-critical points for suitable functionals on a Hilbert space.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
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-
(Preview, Accepted manuscript, pdf, 368.4KB, Terms of use)
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- Publisher copy:
- 10.1353/ajm.2024.a937946
Authors
- Publisher:
- Johns Hopkins University Press
- Journal:
- American Journal of Mathematics More from this journal
- Volume:
- 146
- Issue:
- 5
- Pages:
- 1361-1397
- Publication date:
- 2024-09-26
- Acceptance date:
- 2023-04-14
- DOI:
- EISSN:
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1080-6377
- ISSN:
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0002-9327
- Language:
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English
- Pubs id:
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1338854
- Local pid:
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pubs:1338854
- Deposit date:
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2023-04-25
Terms of use
- Copyright date:
- 2024
- Rights statement:
- © 2024 by Johns Hopkins University Press
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Johns Hopkins University Press at: 10.1353/ajm.2024.a937946
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