BMO-type seminorms and Sobolev functions
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 2, pp. 835-847.

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.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2017023
Classification : 46E35
Mots-clés : Sobolev functions, Nikol’skij spaces, BMO-type seminorms
Fusco, Nicola 1 ; Moscariello, Gioconda 1 ; Sbordone, Carlo 1

1 
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     title = {BMO-type seminorms and {Sobolev} functions},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
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Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo. BMO-type seminorms and Sobolev functions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 2, pp. 835-847. doi : 10.1051/cocv/2017023. http://archive.numdam.org/articles/10.1051/cocv/2017023/

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