Optimal Transport Approach to Sobolev Regularity of Solutions to the Weighted Least Gradient Problem-Reference-Cited by-同舟云学术

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Optimal Transport Approach to Sobolev Regularity of Solutions to the Weighted Least Gradient Problem

Published:2023-06-08 Issue:3 Volume:55 Page:1916-1948
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Dweik Samer¹,Górny Wojciech²^ORCID

Affiliation:

1. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, ul Banacha 2, 02-097 Warsaw, Poland; Laboratoire de Mathématiques de Versailles, UVSQ, Université Paris-Saclay, 45 avenue des Etats-Unis, F-78035 Versailles Cedex, France.

2. Faculty of Mathematics, University of Vienna, Oskar-Morgernstern-Platz 1, 1090 Vienna, Austria; Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland.

Funder

OeAD-WTZ

National Science Centre, Poland

Austrian Science Fund

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics,Analysis

Reference38 articles.

1. A notion of total variation depending on a metric with discontinuous coefficients

2. Oxford Math. Monogr.;Ambrosio L.,2000

3. Pairings between measures and bounded functions and compensated compactness

4. A Continuous Model of Transportation

5. Minimal cones and the Bernstein problem

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