Journal
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Volume 101, Issue 5, Pages 583-598Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.matpur.2013.07.002
Keywords
Isoperimetric inequality; Harmonic function; Doubling measure
Categories
Funding
- Academy of Finland [131477]
- National Natural Science Foundation [11301029, 11171027, 11361020]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20120003110003]
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Let (X, d, mu) be a complete, locally doubling metric measure space that supports a local weak L-2-Poincare inequality. We show that optimal gradient estimates for Cheeger-harmonic functions imply local isoperimetric inequalities. (C) 2013 Elsevier Masson SAS. All rights reserved.
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