Open AccessA quantitative version of the isoperimetric inequality: the anisotropic case
Author(s) -
Luca Esposito,
Nicola Fusco,
Cristina Trombetti
Publication year - 2009
Publication title -
annali della scuola normale superiore di pisa. classe di scienze
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.444
H-Index - 37
eISSN - 2036-2145
pISSN - 0391-173X
DOI - 10.2422/2036-2145.2005.4.04
Subject(s) - isoperimetric inequality , inequality , anisotropy , mathematics , mathematical economics , mathematical analysis , physics , optics
We State and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if E is a set with small anisotropic isoperimetric deficit, then E is "close" to the Wulff shape set