BV and Sobolev homeomorphisms between metric measure spaces and the plane

DOI10.1515/acv-2021-0035OpenAlexW3155519525MaRDI QIDQ2691827

Publication date: 30 March 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06673

zbMATH Keywords

metric measure space Jordan curve homeomorphism of bounded variation mapping of bounded variation

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Analysis on metric spaces (30L99) Analysis on metric spaces (30Lxx)

Cites Work

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Nonlinear potential theory on metric spaces
Diffeomorphic approximation of Sobolev homeomorphisms
Functions of bounded variation on ``good metric spaces
Quasiconformal maps in metric spaces with controlled geometry
Differentiability of Lipschitz functions on metric measure spaces
Lectures on analysis on metric spaces
Fine properties of sets of finite perimeter in doubling metric measure spaces
Strong approximation of sets of finite perimeter in metric spaces
Diffeomorphic approximation of \(W^{1,1}\) planar Sobolev homeomorphisms
Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
Sobolev spaces and harmonic maps for metric space targets
Sobolev spaces on an arbitrary metric space
Sobolev-type classes of functions with values in a metric space
Federer's characterization of sets of finite perimeter in metric spaces
Notions of Dirichlet problem for functions of least gradient in metric measure spaces
The closure of planar diffeomorphisms in Sobolev spaces
Homeomorphisms of bounded variation
Relaxation and integral representation for functionals of linear growth on metric measure spaces
On the total variations for the inverse of a BV-homeomorphism
Sobolev met Poincaré
An Elementary Proof of the Jordan-Schoenflies Theorem
Connected components of sets of finite perimeter and applications to image processing
Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces

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