Lower semicontinuity of the Willmore functional for currents

DOI10.4310/jdg/1231856266zbMath1214.53011OpenAlexW1502958359WikidataQ115172151 ScholiaQ115172151MaRDI QIDQ1004360

Reiner Michael Schätzle

Publication date: 3 March 2009

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1231856266

Mathematics Subject Classification ID

Related Items (18)

Second order rectifiability of varifolds of bounded mean curvature ⋮ Partial localization, lipid bilayers, and the elastica functional ⋮ Symmetric Willmore surfaces of revolution satisfying natural boundary conditions ⋮ Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds ⋮ Regularization of discrete contour by Willmore energy ⋮ The mean curvature at the first singular time of the mean curvature flow ⋮ Li-Yau inequalities for the Helfrich functional and applications ⋮ Lower semicontinuity for the Helfrich problem ⋮ Second order rectifiability of integral varifolds of locally bounded first variation ⋮ Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint ⋮ Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour ⋮ On a modified conjecture of De Giorgi ⋮ Pointwise differentiability of higher order for sets ⋮ The Helfrich boundary value problem ⋮ A Sobolev Poincaré type inequality for integral varifolds ⋮ Decay estimates for the quadratic tilt-excess of integral varifolds ⋮ Menger curvatures and \(C^{1,\alpha}\) rectifiability of measures ⋮ Normal bundle and Almgren’s geometric inequality for singular varieties of bounded mean curvature

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