Gradient estimate for eigenfunctions of the operator \(\Delta_V\)

DOI10.1016/J.DIFGEO.2018.06.004zbMath1395.53039OpenAlexW2808616353WikidataQ115355086 ScholiaQ115355086MaRDI QIDQ1654204

Antônio Kelson Silva, Abdênago A. Barros

Publication date: 7 August 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2018.06.004

zbMATH Keywords

eigenvaluegradient estimateHarnack inequality\(m\)-Bakry-Émery-Ricci tensor\(V\)-Laplacian

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Gradient estimates of a nonlinear elliptic equation for the \(V\)-Laplacian

Cites Work

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• Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Harmonic functions on complete riemannian manifolds

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