Liouville-type theorem for the drifting Laplacian operator

DOI10.1007/s00013-011-0242-5zbMath1217.58012OpenAlexW2147305125MaRDI QIDQ539996

Congcong Zhang, Guangyue Huang, Jing Zhang

Publication date: 1 June 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0242-5

zbMATH Keywords

gradient estimatepositive solutionBakry-Emery Ricci tensor

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (4)

On Bernstein-type properties of complete hypersurfaces in weighted warped products ⋮ About bounds for eigenvalues of the Laplacian with density ⋮ New Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimes ⋮ Gradient and Hessian estimates for an elliptic equation on smooth metric measure spaces

Cites Work

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• A Liouville-type theorem for smooth metric measure spaces
• Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds
• Gradient estimate for the degenerate parabolic equation \(u_t=\Delta F(u)+H(u)\) on manifolds
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds

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