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pro vyhledávání: '"Paul Creutz"'
Autor:
Paul Creutz, Martin Fitzi
Publikováno v:
Archive for Rational Mechanics and Analysis
Assume you are given a finite configuration $\Gamma$ of disjoint rectifiable Jordan curves in $\mathbb{R}^n$. The Plateau-Douglas problem asks whether there exists a minimizer of area among all compact surfaces of genus at most $p$ which span $\Gamma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb47553ec6aa027be7a6e239bb17c0a7
https://hdl.handle.net/21.11116/0000-000D-041C-021.11116/0000-000D-041E-E21.11116/0000-000D-041F-D
https://hdl.handle.net/21.11116/0000-000D-041C-021.11116/0000-000D-041E-E21.11116/0000-000D-041F-D
Autor:
Paul Creutz
Publikováno v:
Transactions of the American Mathematical Society. 373:1577-1596
Autor:
Paul Creutz
We investigate the class of geodesic metric discs satisfying a uniform quadratic isoperimetric inequality and uniform bounds on the length of the boundary circle. We show that the closure of this class as a subset of Gromov-Hausdorff space is intimat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3d0eb596156f57cd165b05733a83cf2
Autor:
Paul Creutz, Elefterios Soultanis
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 app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5f30445ac81cc676fbcb721d0433b5b