A sharp relative isoperimetric inequality for the square
- Resource Type
- article
- Authors
- Brezis, Haim; Bruckstein, Alfred
- Source
- Comptes Rendus. Mathématique, Vol 359, Iss 9, Pp 1191-1199 (2021)
- Subject
- Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
We compute the exact value of the least “relative perimeter” of a shape $S$, with a given area, contained in a unit square; the relative perimeter of $S$ being the length of the boundary of $S$ that does not touch the border of the square.