Souplet–Zhang and Hamilton‐type gradient estimates for non‐linear elliptic equations on smooth metric measure spaces

DOI10.1112/mtk.12208zbMath1522.53031arXiv2306.08639OpenAlexW4377194624MaRDI QIDQ6048776

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Publication date: 15 September 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.08639

zbMATH Keywords

Laplaciansmooth metric measure spacesHamilton-type gradient estimatesSouplet-Zhang-type gradient stimates

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) 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)

Related Items (2)

Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials ⋮ Hamilton and Li-Yau type gradient estimates for a weighted nonlinear parabolic equation under a super Perelman-Ricci flow

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