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.
2018
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/703080
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