Hölder continuity of harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature

DOI10.1007/s00526-002-0154-0zbMath1025.31004OpenAlexW2035244720WikidataQ115387825 ScholiaQ115387825MaRDI QIDQ1404453

Bent Fuglede

Publication date: 21 August 2003

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

Full work available at URL: https://doi.org/10.1007/s00526-002-0154-0

zbMATH Keywords

energy minimizing mapsHölder continuitygeodesic spaceRiemannian polyhedron

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (14)

The Dirichlet problem for harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature ⋮ Convergence of harmonic maps between Alexandrov spaces ⋮ Lipschitz continuity of harmonic maps between Alexandrov spaces ⋮ Regularity of harmonic maps from polyhedra to CAT(1) spaces ⋮ Harmonic maps from Riemannian polyhedra to geodesic spaces with curvature bounded from above ⋮ SOBOLEV CLASSES AND HORIZONTAL ENERGY MINIMIZERS BETWEEN CARNOT–CARATHÉODORY SPACES ⋮ 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 ⋮ Convergence of Riemannian manifolds and Laplace operators. II ⋮ On weakly harmonic maps from Finsler to Riemannian manifolds ⋮ Harmonic mappings between singular metric spaces ⋮ The parameterized Steiner problem and the singular Plateau problem via energy

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