Minimization of Anisotropic Energies in Classes of Rectifiable Varifolds

DOI10.1137/17M1112479zbMath1381.49049arXiv1611.07929MaRDI QIDQ4602446

Antonio De Rosa

Publication date: 11 January 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07929

zbMATH Keywords

minimization problemgeometric measure theoryvarifoldsanisotropic energiesplateau problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (12)

Regularity of almost-minimizers of Hölder-coefficient surface energies ⋮ Existence of solutions to a general geometric elliptic variational problem ⋮ On the anisotropic Kirchhoff-Plateau problem ⋮ Boundary regularity for anisotropic minimal Lipschitz graphs ⋮ Partial differential equations. Abstracts from the workshop held July 25--31, 2021 (hybrid meeting) ⋮ Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets ⋮ Soap film spanning an elastic link ⋮ Existence results for minimizers of parametric elliptic functionals ⋮ Absence of bubbling phenomena for non-convex anisotropic nearly umbilical and quasi-Einstein hypersurfaces ⋮ Quantitative stability for anisotropic nearly umbilical hypersurfaces ⋮ Regularity for graphs with bounded anisotropic mean curvature ⋮ Plateau's Problem as a Singular Limit of Capillarity Problems

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