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TheH–1-norm of tubular neighbourhoods of curves

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Publication:3085925
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DOI10.1051/cocv/2009044zbMath1213.49052arXiv0903.3709OpenAlexW1993273478WikidataQ59874022 ScholiaQ59874022MaRDI QIDQ3085925

Yves van Gennip, Mark Adriaan Peletier

Publication date: 1 April 2011

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3709


zbMATH Keywords

asymptotic expansioncurves\(\Gamma\)-convergenceelastica functionalnegative Sobolev norm


Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational problems in a geometric measure-theoretic setting (49Q20)




Cites Work

  • Partial localization, lipid bilayers, and the elastica functional
  • Copolymer-homopolymer blends: global energy minimisation and global energy bounds
  • Stability of monolayers and bilayers in a copolymer-homopolymer blend model
  • Characterization and representation of the lower semicontinuous envelope of the elastica functional
  • On the first variation of a varifold
  • Global curvature, thickness, and the ideal shapes of knots
  • Homoclinic Stripe Patterns
  • Can One Hear the Shape of a Drum?
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