Partial Hölder continuity forQ-valued energy minimizing maps

DOI10.1080/03605302.2016.1204313zbMath1352.49038arXiv1402.2651OpenAlexW2963942170MaRDI QIDQ2833300

Jonas Hirsch

Publication date: 17 November 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2651

zbMATH Keywords

regularitymetric spacesenergy minimizing mapsharmonic mapsDirichlet energypartial Hölder continuity\(Q\)-valued functions

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Harmonic maps, etc. (58E20)

Related Items (3)

Multiple valued Jacobi fields ⋮ Multiple valued maps into a separable Hilbert space that almost minimize their \(p\) Dirichlet energy or are squeeze and squash stationary ⋮ Rectifiability of the singular set of multiple-valued energy minimizing harmonic maps

Cites Work

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• Regularity of area minimizing currents I: gradient \(L^p\) estimates
• Regularity of Dirichlet nearly minimizing multiple-valued functions
• A regularity theory for harmonic maps
• Regular selections for multiple-valued functions
• Lower semicontinuous functionals for Almgren's multiple valued functions

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