Gradient estimates for harmonic functions on manifolds with Lipschitz metrics

Jingyi Chen, Elton P Hsu

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We introduce a distributional Ricci curvature on complete smooth manifolds with Lipschitz continuous metrics. Under an assumption on the volume growth of geodesics balls, we obtain a gradient estimate for weakly harmonic functions if the distributional Ricci curvature is bounded below.
Original languageEnglish
Pages (from-to)1163
JournalCanadian Journal of Mathematics
Volume50
StatePublished - 1998

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