In this note we show that a sharp rigidity estimate and a sharp Korn s inequality for matrixvalued 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.
Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result / Conti, S.; Garroni, A.. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - 359:2(2021), pp. 155-160. [10.5802/CRMATH.161]
Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result
Garroni A.
2021
Abstract
In this note we show that a sharp rigidity estimate and a sharp Korn s inequality for matrixvalued 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.File allegati a questo prodotto
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