| Title | The sharp quantitative isocapacitary inequality |
| Publication Type | Journal Article |
| Year of Publication | 2021 |
| Authors | De Philippis, G, Marini, M, Mukoseeva, E |
| Journal | Revista Matematica Iberoamericana |
| Volume | 37 |
| Issue | 6 |
| Pagination | 2191 - 2228 |
| Date Published | 2021 |
| ISBN Number | 02132230 (ISSN) |
| Keywords | Fraenkel asymmetry; isocapacitary inequality; Stability estimates |
| Abstract | We prove a sharp quantitative form of the classical isocapacitary inequality. Namely, we show that the difference between the capacity of a set and that of a ball with the same volume bounds the square of the Fraenkel asymmetry of the set. This provides a positive answer to a conjecture of Hall, Hayman, and Weitsman (J. Analyse Math.'91). © 2021 Real Sociedad Matemática Española |
| URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104691573&doi=10.4171%2frmi%2f1259&partnerID=40&md5=5f88bc37b87a9eea7a502ea63523ff57 |
| Short Title | Rev. Mat. Iberoam. |
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