Gradient estimates for weighted harmonic function with Dirichlet boundary condition

DOI10.1016/j.na.2021.112498zbMath1477.30058arXiv2105.06205OpenAlexW3188608170WikidataQ126171589 ScholiaQ126171589MaRDI QIDQ2231440

Jia-Yong Wu, Nguyen Thac Dung

Publication date: 29 September 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06205

zbMATH Keywords

gradient estimateharmonic functionLiouville theoremmanifold with boundaryBakry-Émery Ricci curvaturesmooth metric measure space

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Analysis on metric spaces (30L99) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items

Gradient estimates for a nonlinear parabolic equation with Dirichlet boundary condition, Elliptic gradient estimates for a nonlinear equation with Dirichlet boundary condition, Sharp gradient estimates on weighted manifolds with compact boundary

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