Following some ideas of a recent paper by Bourgain, Brezis and Mironescu, we give a representation formula of the norm of the gradient of a Sobolev function which does not make use of the distributional derivatives.
BMO-type seminorms and Sobolev functions / Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo. - In: ESAIM. COCV. - ISSN 1292-8119. - 24:2(2018), pp. 835-847. [10.1051/cocv/2017023]
BMO-type seminorms and Sobolev functions
Fusco, Nicola
;Moscariello, Gioconda;Sbordone, Carlo
2018
Abstract
Following some ideas of a recent paper by Bourgain, Brezis and Mironescu, we give a representation formula of the norm of the gradient of a Sobolev function which does not make use of the distributional derivatives.File in questo prodotto:
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