Creutz, Paul and Soultanis, Elefterios (2020). Maximal metric surfaces and the Sobolev-to-Lipschitz property. Calc. Var. Partial Differ. Equ., 59 (5). HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-0835
Full text not available from this repository.Abstract
We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated notions of Sobolev-to-Lipschitz property, or volume rigidity. We also apply our construction to solutions of the Plateau problem in metric spaces and obtain a variant of the associated intrinsic disc studied by Lytchak-Wenger, which satisfies a related maximality condition.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-318781 | ||||||||||||
DOI: | 10.1007/s00526-020-01843-0 | ||||||||||||
Journal or Publication Title: | Calc. Var. Partial Differ. Equ. | ||||||||||||
Volume: | 59 | ||||||||||||
Number: | 5 | ||||||||||||
Date: | 2020 | ||||||||||||
Publisher: | SPRINGER HEIDELBERG | ||||||||||||
Place of Publication: | HEIDELBERG | ||||||||||||
ISSN: | 1432-0835 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/31878 |
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