Uniform regularity results for critical and subcritical surface energies
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Date
2019
Publication Type
Journal Article
ETH Bibliography
yes
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OPEN ACCESS
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Abstract
We establish regularity results for critical points to energies of immersed surfaces depending
on the first and the second fundamental form exclusively. These results hold for a large class
of intrinsic elliptic Lagrangians which are sub-critical or critical. They are derived using
uniform ϵ-regularity estimates which do not degenerate as the Lagrangians approach the
critical regime given by the Willmore integrand.
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published
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Volume
58 (1)
Pages / Article No.
10
Publisher
Springer
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Organisational unit
03600 - Rivière, Tristan / Rivière, Tristan
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.