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Minimization to the Zhang's energy on BV(Ω) and sharp affine Poincaré-Sobolev inequalities

  • Published:2022-11 Issue:10 Volume:283 Page:109646
  • ISSN:0022-1236
  • Container-title:Journal of Functional Analysis
  • language:en
  • Short-container-title:Journal of Functional Analysis

Author:

Leite Edir Junior Ferreira,Montenegro Marcos

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Amparo à Pesquisa do Estado de Minas Gerais

Publisher

Elsevier BV

Subject

Analysis

Reference50 articles.

1. Defect of compactness in spaces of bounded variation;Adimurthi;J. Funct. Anal.,2016

2. On compactness in the Trudinger-Moser inequality;Adimurthi;Ann. Sc. Norm. Super. Pisa, Cl. Sci.,2014

3. On the relaxation in BV(Ω;Rm) of quasi-convex integrals;Ambrosio;J. Funct. Anal.,1992

4. Well-posedness of the Laplacian on manifolds with boundary and bounded geometry;Ammann;Math. Nachr.,2019

5. Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints;Arroyo-Rabasa;Adv. Calc. Var.,2020

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