Harmonic maps from Riemannian polyhedra to geodesic spaces with curvature bounded from above

DOI10.1007/s00526-007-0107-8zbMath1133.58004OpenAlexW1977993815WikidataQ115387721 ScholiaQ115387721MaRDI QIDQ2462263

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Publication date: 28 November 2007

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

Full work available at URL: https://doi.org/10.1007/s00526-007-0107-8

zbMATH Keywords

harmonic mapgeodesic spaceHölder continuousRiemannian polyhedronAlexandrov curvature

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Geodesics in global differential geometry (53C22) Harmonic maps, etc. (58E20)

Related Items (14)

Convergence of harmonic maps between Alexandrov spaces ⋮ Old and new challenges in Hadamard spaces ⋮ Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in \({\mathrm{CAT}}(1)\) spaces ⋮ Lipschitz continuity of harmonic maps between Alexandrov spaces ⋮ Improvements of upper curvature bounds ⋮ Sobolev spaces of maps and the Dirichlet problem for harmonic maps ⋮ Short retractions of CAT(1) spaces ⋮ Regularity of harmonic discs in spaces with quadratic isoperimetric inequality ⋮ Quantitative gradient estimates for harmonic maps into singular spaces ⋮ Harmonic maps between Alexandrov spaces ⋮ Local uniformization and free boundary regularity of minimal singular surfaces ⋮ Polyhedra as domains of harmonic maps ⋮ On weakly harmonic maps from Finsler to Riemannian manifolds ⋮ Harmonic mappings between singular metric spaces

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