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Compactness analysis for free boundary minimal hypersurfaces
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Coelho Ambrozio, Lucas, Carlotto, Alessandro and Sharp, Benjamin G. (2018) Compactness analysis for free boundary minimal hypersurfaces. Calculus of Variations and Partial Differential Equations, 57 (1). 22. doi:10.1007/s00526-017-1281-y ISSN 0944-2669.
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Official URL: https://doi.org/10.1007/s00526-017-1281-y
Abstract
We investigate compactness phenomena involving free boundary minimal hypersurfaces in Riemannian manifolds of dimension less than eight. We provide natural geometric conditions that ensure strong one-sheeted graphical subsequential convergence, discuss the limit behaviour when multi-sheeted convergence happens and derive various consequences in terms of finiteness and topological control.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Hypersurfaces, Riemannian manifolds | ||||||||
Journal or Publication Title: | Calculus of Variations and Partial Differential Equations | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0944-2669 | ||||||||
Official Date: | February 2018 | ||||||||
Dates: |
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Volume: | 57 | ||||||||
Number: | 1 | ||||||||
Article Number: | 22 | ||||||||
DOI: | 10.1007/s00526-017-1281-y | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 12 December 2017 | ||||||||
Date of first compliant Open Access: | 26 December 2018 | ||||||||
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