We prove a compactness result in GBD which also provides a new proof of the compactness theorem in GSBD, due to Chambolle and Crismale. Our proof is based on a Frechet-Kolmogorov compactness criterion and does not rely on Korn or Poincare-Korn inequalities.
A new proof of compactness in G(S)BD / Almi, Stefano; Tasso, Emanuele. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 16:3(2023), pp. 637-650. [10.1515/acv-2021-0041]
A new proof of compactness in G(S)BD
Almi, Stefano;Tasso, Emanuele
2023-01-01
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. Our proof is based on a Frechet-Kolmogorov compactness criterion and does not rely on Korn or Poincare-Korn inequalities.File in questo prodotto:
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