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On formulae decoupling the total variation of BV functions

  • Published:2017-05 Issue: Volume:154 Page:241-257
  • ISSN:0362-546X
  • Container-title:Nonlinear Analysis: Theory, Methods & Applications
  • language:en
  • Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Ponce Augusto C.,Spector Daniel

Funder

National Chiao Tung University

Fonds de la Recherche scientifique–FNRS

Taiwan Ministry of Science and Technology

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference28 articles.

1. BMO-type norms related to the perimeter of sets;Ambrosio;Comm. Pure Appl. Math.,2016

2. A general chain rule for distributional derivatives;Ambrosio;Proc. Amer. Math. Soc.,1990

3. Functions of Bounded Variation and Free Discontinuity Problems, Oxford Mathematical Monographs;Ambrosio,2000

4. Can the nonlocal characterization of Sobolev spaces by Bourgain et al. be useful for solving variational problems?;Aubert;SIAM J. Numer. Anal.,2009

5. How to recognize polynomials in higher order Sobolev spaces;Bojarski;Math. Scand.,2013

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1. BMO-type functionals, total variation, and Γ-convergence;Proceedings of the American Mathematical Society;2024-07-19

2. Bourgain-Brezis-Mironescu formula for $$W^{s,p}_q$$-spaces in arbitrary domains;Calculus of Variations and Partial Differential Equations;2024-01-09

3. A remake of Bourgain–Brezis–Mironescu characterization of Sobolev spaces;Partial Differential Equations and Applications;2023-03-24

4. A Bourgain–Brezis–Mironescu representation for functions with bounded deformation;Calculus of Variations and Partial Differential Equations;2022-11-09

5. s, p-Harmonic Approximation of Functions of Least W s,l-Seminorm;International Mathematics Research Notices;2021-10-11
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