Alter, FrançoisCaselles, Vicente2018-12-202018-12-202009Alter F, Caselles V. Uniqueness of the cheeger set of a convex body. Nonlinear Anal Theory Methods Appl. 2009 Jan;70(1):32-44. DOI: 10.1016/j.na.2007.11.0320362-546Xhttp://hdl.handle.net/10230/36161We prove that if C C RN is an open bounded convex set, then there is only one Cheeger set inside C and it is convex. A Cheeger set of C is a set which minimizes the ratio perimeter over volume among all subsets of C.application/pdfeng© Springer The final publication is available at Springer via http://dx.doi.org/10.1016/j.na.2007.11.032info:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.na.2007.11.032Cheeger setConvex setSet of finite perimeterMean curvatureinfo:eu-repo/semantics/openAccess