Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation

DOI10.1090/tran/6995zbMath1381.49047arXiv1508.05507OpenAlexW2963372102MaRDI QIDQ4600430

Camillo De Lellis, Luca Spolaor, Emanuele Nunzio Spadaro

Publication date: 9 January 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05507

zbMATH Keywords

integral currentsLipschitz \( Q\)-valued functions

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Regularity of solutions in optimal control (49N60) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (15)

Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold ⋮ On the number of singular points for planar multivalued harmonic functions ⋮ Multiple valued Jacobi fields ⋮ Dirichlet energy-minimizers with analytic boundary ⋮ On the Boundary Behavior of Mass-Minimizing Integral Currents ⋮ Almgren's type regularity for semicalibrated currents ⋮ The regularity theory for the area functional (in geometric measure theory) ⋮ An upper Minkowski dimension estimate for the interior singular set of area minimizing currents ⋮ Regularity theory for \(2\)-dimensional almost minimal currents. III: Blowup ⋮ Castelnuovo's bound and rigidity in almost complex geometry ⋮ Boundary regularity of mass-minimizing integral currents and a question of Almgren ⋮ An inequality for length and volume in the complex projective plane ⋮ Nonclassical minimizing surfaces with smooth boundary ⋮ Branch points for (almost-)minimizers of two-phase free boundary problems ⋮ Two-dimensional almost area minimizing currents

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