Calculus of Variations and Geometric Measure Theory
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S. Almi - E. Tasso

A new proof of compactness in G(S)BD

created by tasso on 28 Apr 2021

[BibTeX]

preprint

Inserted: 28 apr 2021
Last Updated: 28 apr 2021

Year: 2021

ArXiv: 2104.13141 PDF

Abstract:

We prove a compactness result in GBD which also provides a new proof of the compactness theorem in GSBD, due to Chambolle and Crismale 5, Theorem 1.1. Our proof is based on a Fr\'echet-Kolmogorov compactness criterion and does not rely on Korn or Poincar\'e-Korn inequalities.

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