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A new proof of compactness in G(S)BD

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Abstract We prove a compactness result in GBD {\operatorname{GBD}} which also provides a new proof of the compactness theorem in GSBD {\operatorname{GSBD}} , due to Chambolle and Crismale. Our proof… Click to show full abstract

Abstract We prove a compactness result in GBD {\operatorname{GBD}} which also provides a new proof of the compactness theorem in GSBD {\operatorname{GSBD}} , due to Chambolle and Crismale. Our proof is based on a Fréchet–Kolmogorov compactness criterion and does not rely on Korn or Poincaré–Korn inequalities.

Keywords: proof; compactness; new proof; proof compactness

Journal Title: Advances in Calculus of Variations
Year Published: 2022

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