A strong form of the quantitative isoperimetric inequality

By N. Fusco, Vesa Julin. 2011

57 citations recorded by the source corpus.

We give a refinement of the quantitative isoperimetric inequality. We prove that the isoperimetric gap controls not only the Fraenkel asymmetry but also the oscillation of the boundary.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/99f0595e21e52456bd5c854d39c4c2be8de142f5

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In Applied Mathematics

1. Guido De Philippis
2. Berardo Ruffini
3. Lorenzo Brasco
4. Cristiana De Filippis
5. Filippo Santambrogio
6. Alessio Figalli
7. Marco Squassina
8. Giampiero Palatucci

Citations in the corpus

• Spectral optimization for the Stekloff--Laplacian: the stability issue (2012, background): “containing the L2 distance of the normal versors – has recently been derived in [10] for the standard isoperimetric inequality.”