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Gradient Young measures, varifolds, and a generalized Willmore functional

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Publication:2861483
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DOI10.1515/acv-2011-0014zbMath1275.49020arXiv1112.2091OpenAlexW2964224821MaRDI QIDQ2861483

Giacomo Nardi, Simon Masnou

Publication date: 8 November 2013

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2091


zbMATH Keywords

Young measuresrelaxationmean curvatureWillmore functionalfunctions of bounded variationvarifolds


Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)


Related Items (5)

The \(L^1\) gradient flow of a generalized scale invariant Willmore energy for radially non-increasing functions ⋮ Phase-field approximations of the Willmore functional and flow ⋮ Degenerate elastic networks ⋮ A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit ⋮ A varifold perspective on the $p$-elastic energy of planar sets




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