Isoperimetric inequality from the poisson equation via curvature

DOI10.1002/cpa.21405zbMath1247.53045OpenAlexW2010801851WikidataQ110124966 ScholiaQ110124966MaRDI QIDQ2903843

Pekka Koskela, Ren Jin Jiang

Publication date: 2 August 2012

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.21405

zbMATH Keywords

isoperimetric inequalitiesPoisson equationSobolev inequalityLipschitz functionsmetric measure spacesCheeger differentiablity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Metric spaces, metrizability (54E35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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