Characterization of Cheeger sets for convex subsets of the plane

作     者：Kawohl, Bernd Lachand-Robert, Thomas 

作者机构：Univ Cologne Inst Math D-50923 Cologne Germany Univ Savoie Lab Math F-73376 Le Bourget Du Lac France 

出 版 物：《PACIFIC JOURNAL OF MATHEMATICS》 (Pac. J. Math.)

年 卷 期：2006年第225卷第1期

页      面：103-118页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Cheeger constant Cheeger set convexity constructive algorithm connection-like coycle 

摘      要：Given a planar convex domain Omega, its Cheeger set l(Omega) is defined as the unique minimizer of vertical bar partial derivative X vertical bar/vertical bar X vertical bar among all nonempty open and simply connected subsets X of Omega. We prove an interesting geometric property of l(Omega), characterize domains Omega which coincide with l(Omega) and provide a constructive algorithm for the determination of l(Omega).