In mathematics, a Caccioppoli set is a subset of R n {\displaystyle \mathbb {R} ^{n}} whose boundary is (in a suitable sense) measurable and has (at least...

geometric measure theory, on the topic of the sets of finite perimeters which he called in 1958 Caccioppoli sets, after his mentor and friend. His definition...

generalization of the concept of manifolds, possibly with boundary. Caccioppoli sets (also known as sets of locally finite perimeter), a generalization of the concept...

Renato Caccioppoli (Italian: [reˈnaːto katˈtʃɔppoli]; 20 January 1904 – 8 May 1959) was an Italian mathematician, known for his contributions to mathematical...

physics. Renato Caccioppoli and Ennio De Giorgi used them to define measure of nonsmooth boundaries of sets (see the entry "Caccioppoli set" for further...

{\displaystyle n} -dimensional Euclidean spaces, is described by the theory of Caccioppoli sets. Polygons are fundamental to determining perimeters, not only because...

a set A is a region then its closure A is a domain. Analytic polyhedron – Subset of complex n-space bounded by analytic functions Caccioppoli set – Region...

subproblems are solved exactly by dynamic programming. Bounded variation Caccioppoli set Digital image processing Luigi Ambrosio Mumford & Shah (1989). See...

It relies on what Pfeffer refers to as a set of bounded variation, this is equivalent to a Caccioppoli set. The Riemann sums of the Pfeffer integral...

Dekker, pp. 421–433, ISBN 9780824781682, MR 1013226. Bounded variation Caccioppoli set Measure theory Varifold (Young 1937). (Young 1951). In his commemorative...

73(115) (2): 255–302, MR 0216338, Zbl 0168.07402. A seminal paper where Caccioppoli sets and BV functions are thoroughly studied and the concept of functional...

contraction mapping theorem or contractive mapping theorem or Banach–Caccioppoli theorem) is an important tool in the theory of metric spaces; it guarantees...

awarded the 2005 Bartolozzi Prize, the 2006 Stampacchia Medal, the 2010 Caccioppoli Prize and the 2016 Amerio Prize. In 2007 he was awarded an ERC grant...

awarded the Stampacchia Medal in 2009, the Fermat Prize in 2013 and the Caccioppoli Prize in 2014. He has been invited speaker at the International Congress...

politician, recipient of the Nobel Peace Prize (b. 1878) May 8 Renato Caccioppoli, Italian mathematician (b. 1904) Ibrahim of Johor, Malaysian sultan (b...

Bruno, philosopher, Dominican friar, mathematician and astronomer Renato Caccioppoli, mathematician Antonio Cardarelli, physician and politician Ernesto De...

beatified on that basis. The miracle in question was the healing of Caccioppoli Salvatore who had a perforated stomach wall; his wife put a relic under...

integrals were proved by Cafiero, generalizing earlier work of Renato Caccioppoli, Vladimir Dubrovskii, and Gaetano Fichera. It is possible to develop...

Giovanni Mauriello as Mirone Chiara Baffi as 'Nennella' De Filippo Roberto Caccioppoli as 'Mimì' Scarpetta Lucrezia Guidone as Irma Gramatica Elena Ghiaurov...

boards of various scientific journals. Fusco won the 1994 edition of the Caccioppoli Prize of the Italian Mathematical Union, and, in 2010, the Tartufari...

Renato Caccioppoli", in Alvino, A.; Carbone, L.; Sbordone, C.; Trombetti, G. (eds.), In ricordo di Renato Caccioppoli [In memoriam Renato Caccioppoli] (in...

Renato Brunetta (born 1950), Italian economist and politician Renato Caccioppoli (1904–1959), mathematician Renato Canova, athletics coach Renato Capecchi...

can be made locally under some mild restrictions. This is the Hadamard-Caccioppoli theorem: If U {\displaystyle U} , V {\displaystyle V} are connected open...

years, and also began racing. Michael Thackwell has 4 siblings Joan Caccioppoli – Kerry John Thackwell – Lisa Brabham – Heidi Thackwell. Lisa is married...

napoletano) (1992) – Italian biographical drama film about the death of Renato Caccioppoli, an Italian mathematician, known for his contributions to mathematical...

March 2024. "Caccioppoli Prize". umi.dm.unibo.it. Archived from the original on 14 May 2019. Retrieved 21 July 2016. Site of Caccioppoli Prize Archived...

p. 201. Castelli (2011), p. 207. "Close encounters with Padre Pio". Caccioppoli. Retrieved 4 May 2014. Allen, John L. (28 December 2001). "For all who...

in both cases one of the members of the judging commission was Renato Caccioppoli, which become a close friend of him. From 1956 onward he was full professor...

rigidity problems, Yau was able to adapt Jürgen Moser's method of proving Caccioppoli inequalities, thereby proving new rigidity results for functions on complete...

PMC 4119845. PMID 24811133. Genchi VA, Palma G, Sorice GP, D'Oria R, Caccioppoli C, Marrano N, et al. (November 2023). "Pharmacological modulation of...