Reifenberg’s isoperimetric inequality revisited

Autor:	Harrison Pugh
Rok vydání:	2019
Předmět:	Pure mathematics Generalization Applied Mathematics 010102 general mathematics Hausdorff space 01 natural sciences Plateau's problem 010101 applied mathematics Set (abstract data type) Mathematics::Metric Geometry Minification 0101 mathematics Isoperimetric inequality Analysis Axiom Mathematics
Zdroj:	Calculus of Variations and Partial Differential Equations. 58
ISSN:	1432-0835 0944-2669
DOI:	10.1007/s00526-019-1602-4
Popis:	We prove a generalization of Reifenberg’s isoperimetric inequality. The main result of this paper is used in Harrison and Pugh (General methods of elliptic minimization, Available on arxiv, 2016) to establish existence of a minimizer for an anisotropically-weighted area functional among a collection of surfaces which satisfies a set of axioms, namely being closed under certain deformations and Hausdorff limits. This problem is known as the axiomatic Plateau problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4ffc3b6c4c9cf8df25b779f70f9423d7 https://doi.org/10.1007/s00526-019-1602-4 Zobrazit plný text záznamu Full text from SpringerLink