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

Sergio Conti; Adriana Garroni

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arXiv · 2009.08384

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

Sergio Conti·Adriana Garroni

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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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Sergio Conti, Adriana Garroni. 2020-09-17. Sharp rigidity estimates for incompatible fields as consequence of the Bourgain Brezis div-curl result. https://arxiv.org/abs/2009.08384

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