Geodesic
Gradient Estimates for Harmonic Functions on Manifolds With Lipschitz Metrics
Canadian journal of mathematics, Tome 50 (1998) no. 6, pp. 1163-1175

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1998-056-8
Mots-clés : 60D58, 28D05 
Chen, Jingyi; Hsu, Elton P. Gradient Estimates for Harmonic Functions on Manifolds With Lipschitz Metrics. Canadian journal of mathematics, Tome 50 (1998) no. 6, pp. 1163-1175. doi: 10.4153/CJM-1998-056-8
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