Ambrozio, L, Carlotto, A and Sharp, B (2018) Compactness analysis for free boundary minimal hypersurfaces. Calculus of Variations and Partial Differential Equations, 57. 22. ISSN 0944-2669
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer-Verlag GmbH Germany, part of Springer Nature 2017. This is an author produced version of a paper published in Calculus of Variations and Partial Differential Equations. The final publication is available at Springer via https://doi.org/10.1007/s00526-017-1281-y. 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: | 29 Jan 2018 15:54 |
Last Modified: | 26 Dec 2018 01:38 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s00526-017-1281-y |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:126694 |