|
|||||
|
|
A quantitative isoperimetric inequality for fractional perimeters |
|
| Authors: | Nicola Fusco Vincent Millot Massimiliano Morini |
| Institution: | a Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli “Federico II”, 80126 Napoli, Italy;b Université Paris Diderot – Paris 7, CNRS, UMR 7598 Laboratoire J.L. Lions, F-75005 Paris, France;c Dipartimento di Matematica, Università degli Studi di Parma, 43124 Parma, Italy |
| Abstract: | Recently Frank and Seiringer have shown an isoperimetric inequality for nonlocal perimeter functionals arising from Sobolev seminorms of fractional order. This isoperimetric inequality is improved here in a quantitative form. |
| Keywords: | Quantitative isoperimetric inequality Fractional perimeter Fractional Sobolev spaces |
| 本文献已被 ScienceDirect 等数据库收录！ | |