Regularity of harmonic discs in spaces with quadratic isoperimetric inequality
- Lytchak, Alexander Mathematisches Institut, Universität Köln, Cologne, Germany
- Wenger, Stefan Department of Mathematics, University of Fribourg, Switzerland
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21.07.2016
Published in:
- Calculus of Variations and Partial Differential Equations. - 2016, vol. 55, no. 4, p. 98
English
We study harmonic and quasi-harmonic discs in metric spaces admitting a uniformly local quadratic isoperimetric inequality for curves. The class of such metric spaces includes compact Lipschitz manifolds, metric spaces with upper or lower curvature bounds in the sense of Alexandrov, some sub-Riemannian manifolds, and many more. In this setting, we prove local Hölder continuity and continuity up to the boundary of harmonic and quasi-harmonic discs.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 277695
- DOI 10.1007/s00526-016-1044-1
- Persistent URL
- https://folia.unifr.ch/unifr/documents/305128
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