Regularity of harmonic discs in spaces with quadratic isoperimetric inequality

DOI10.1007/s00526-016-1044-1zbMath1390.58011arXiv1512.01060OpenAlexW2256242387MaRDI QIDQ502251

Stefan Wenger, Alexander Lytchak

Publication date: 3 January 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01060

zbMATH Keywords

regularityisoperimetric inequalitymetric spaceharmonic maps\(M\)-quasiharmonic map

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Harmonic maps, etc. (58E20)

Related Items (15)

Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces ⋮ Regularity of \(p\)-harmonic mappings into NPC spaces ⋮ Area minimizing surfaces in homotopy classes in metric spaces ⋮ Canonical parameterizations of metric disks ⋮ Intrinsic structure of minimal discs in metric spaces ⋮ Dehn functions and Hölder extensions in asymptotic cones ⋮ Spaces with almost Euclidean Dehn function ⋮ Ricci curvature in dimension 2 ⋮ Curvature bounds on length-minimizing discs ⋮ Regularity of quasi-\(n\)-harmonic mappings into NPC spaces ⋮ Regularity of harmonic discs in spaces with quadratic isoperimetric inequality ⋮ Area minimizing discs in metric spaces ⋮ Space of minimal discs and its compactification ⋮ Maximal metric surfaces and the Sobolev-to-Lipschitz property ⋮ Harmonic mappings between singular metric spaces

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