Local Palais-Smale sequences for the Willmore functional

DOI10.4310/CAG.2011.V19.N3.A5zbMath1245.53051arXiv0904.0360OpenAlexW2962981435MaRDI QIDQ429578

Yann Bernard, Tristan Rivière

Publication date: 20 June 2012

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0360

zbMATH Keywords

second fundamental formconformal Willmore equationlocal Palais-Smale sequencelocally square-integrable

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (9)

Noether's theorem and the Willmore functional ⋮ Willmore minmax surfaces and the cost of the sphere eversion ⋮ Unstable Willmore surfaces of revolution subject to natural boundary conditions ⋮ Analysis of constrained Willmore surfaces ⋮ Analysis of the inhomogeneous Willmore equation ⋮ Two-dimensional curvature functionals with superquadratic growth ⋮ Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint ⋮ Energy quantization for Willmore surfaces and applications ⋮ Sequences of Smooth Global Isothermic Immersions

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