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• W2807403350 abstract "We consider gradient estimates for positive solutions to the following nonlinear elliptic equation on a smooth metric measure space $(M, g,e^{-f},dv)$ : $$Delta_{f} u+aulog u+bu=0, $$ where a, b are two real constants. When the ∞-Bakry–Émery Ricci curvature is bounded from below, we obtain a global gradient estimate which is not dependent on $|nabla f|$ . In particular, we find that any bounded positive solution of the above equation must be constant under some suitable assumptions." @default.
• W2807403350 created "2018-06-13" @default.
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• W2807403350 creator A5032041885 @default.
• W2807403350 date "2018-05-10" @default.
• W2807403350 modified "2023-10-17" @default.
• W2807403350 title "Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation" @default.
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• W2807403350 doi "https://doi.org/10.1186/s13660-018-1705-z" @default.
• W2807403350 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/5945720" @default.
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