Calculus of Variations and Geometric Measure Theory
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S. Conti - A. Garroni

Sharp rigidity estimates for incompatible fields as consequence of the Bourgain Brezis div-curl result

created by garroni on 18 Sep 2020

[BibTeX]

preprint

Inserted: 18 sep 2020

Year: 2020

ArXiv: 2009.08384 PDF

Abstract:

In this note we show that a sharp rigidity estimate and a sharp Korn's inequality for matrix-valued fields whose incompatibility is a bounded measure can be obtained as a consequence of a Hodge decomposition with critical integrability due to Bourgain and Brezis.

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