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The sharp quantitative Sobolev inequality for functions of bounded variation |
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| Authors: | N. Fusco F. Maggi |
| Affiliation: | a Dipartimento di Matematica ed Applicazioni, via Cintia, 80126 Napoli, Italy b Dipartimento di Matematica, viale Morgagni 67/A, 50134 Firenze, Italy c Dipartimento di Matematica, via Ferrata 1, 27100 Pavia, Italy |
| Abstract: | The classical Sobolev embedding theorem of the space of functions of bounded variation BV(Rn) into Ln′(Rn) is proved in a sharp quantitative form. |
| Keywords: | Sobolev inequality BV functions Sharp estimate Isoperimetric inequality |
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