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Embedded Surfaces of Arbitrary Genus Minimizing the Willmore Energy Under Isoperimetric Constraint

  • Published:2013-11-29 Issue:2 Volume:212 Page:645-682
  • ISSN:0003-9527
  • Container-title:Archive for Rational Mechanics and Analysis
  • language:en
  • Short-container-title:Arch Rational Mech Anal

Author:

Keller Laura Gioia Andrea,Mondino Andrea,Rivière Tristan

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Cited by 20 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Willmore flow with prescribed isoperimetric ratio;Communications in Partial Differential Equations;2024-01-17

2. Refinement of Hélein’s conjecture on boundedness of conformal factors when $$n = 3$$;Annali di Matematica Pura ed Applicata (1923 -);2023-01-30

3. On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio;Archive for Rational Mechanics and Analysis;2023-01-21

4. Li–Yau inequalities for the Helfrich functional and applications;Calculus of Variations and Partial Differential Equations;2022-12-24

5. Embedded Delaunay tori and their Willmore energy;Nonlinear Analysis;2022-10
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