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• W3045649861 abstract "In this paper, we consider the non-linear general $p$-Laplacian equation $Delta_{p,f}u+F(u)=0$ for a smooth function $F$ on smooth metric measure spaces. Assume that a Sobolev inequality holds true on $M$ and an integral Ricci curvature is small, we first prove a local gradient estimate for the equation. Then, as its applications, we prove several Liouville type results on manifolds with lower bounds of Ricci curvature. We also derive new local gradient estimates provided that the integral Ricci curvature is small enough." @default.
• W3045649861 created "2020-08-03" @default.
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• W3045649861 date "2022-03-18" @default.
• W3045649861 modified "2023-09-26" @default.
• W3045649861 title "Gradient estimates for weighted $p$-Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds" @default.
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• W3045649861 doi "https://doi.org/10.2996/kmj/kmj45102" @default.
• W3045649861 hasPublicationYear "2022" @default.
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