A quantitative isoperimetric inequality for fractional perimeters
By N. Fusco, V. Millot, Massimiliano Morini. 2010
73 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ed2722bc74143f68ff14cb45f6ac024d00c236b6
How researchers see this paper
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In Applied Mathematics
- Alessio Figalli
- N. Fusco
- Francesco Maggi
- Enrico Valdinoci
- V. Millot
- Massimiliano Morini
- Matteo Novaga
- Berardo Ruffini
In Geometry and Topology
- N. Fusco
- Enrico Valdinoci
- Alessio Figalli
- Matteo Novaga
- Francesco Maggi
- Massimiliano Morini
- V. Millot
- Guido De Philippis
In Mathematical Physics
- N. Fusco
- Alessio Figalli
- V. Millot
- Enrico Valdinoci
- Francesco Maggi
- Massimiliano Morini
- Agnese Di Castro
- Matteo Novaga
Citations in the corpus
- Nonlocal quantitative isoperimetric inequalities (2015, background): “The notion of fractional perimeter has been introduced in [36, 9] and it has been extensively studied in several recent papers (see for instance [24, 33, 34, 11, 18, 15] and references therein).”
- Anisotropic fractional perimeters (2013, unknown): “A stability version was recently established by Fusco, Millot & Morini [15].”
- Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies (2014, background): “In [24] the following stronger form of (1.”