Variational approximation of size-mass energies fork-dimensional currents

DOI10.1051/cocv/2018027zbMath1437.49061arXiv1710.08808OpenAlexW2963089856MaRDI QIDQ5107947

Benoît Merlet, Luca Alberto Davide Ferrari, Antonin Chambolle

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08808

zbMATH Keywords

Steiner problemPlateau problemphase-field approximations\( \Gamma \)-convergence

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Theoretical approximation in context of PDEs (35A35)

Related Items (4)

Variational approximation of functionals defined on \(1\)-dimensional connected sets in \(\mathbb{R}^n\) ⋮ Strong approximation in \(h\)-mass of rectifiable currents under homological constraint ⋮ Phase field approximations of branched transportation problems ⋮ Learning phase field mean curvature flows with neural networks

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