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Control of the isoperimetric deficit by the Willmore deficit

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Publication:2907397
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DOI10.1524/anly.2012.1140zbMath1252.49069arXiv1106.6213OpenAlexW2949172317MaRDI QIDQ2907397

Matthias Röger, Reiner Michael Schätzle

Publication date: 9 September 2012

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.6213


zbMATH Keywords

isoperimetric inequalityWillmore functionalisoperimetric deficitWillmore deficit


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (5)

Geometric inequalities involving mean curvature for closed surfaces ⋮ The asymptotics of the area-preserving mean curvature and the Mullins-Sekerka flow in two dimensions ⋮ Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint ⋮ Optimal rigidity estimates for nearly umbilical surfaces in arbitrary codimension ⋮ Quantitative estimates for bending energies and applications to non-local variational problems



Cites Work

  • Optimal rigidity estimates for nearly umbilical surfaces
  • A mass transportation approach to quantitative isoperimetric inequalities


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