Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation
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DOI: 10.1186/s13660-018-1705-z
Abstract: AbstractWe consider gradient estimates for positive solutions to the following nonlinear elliptic equation on a smooth metric measure space (M,g,e−fdv)$(M, g,e^{-f}\,dv)$: Δfu+aulogu+bu=0,$$\Delta_{f} u+au\log u+bu=0, $$ where a, b are two real constants. When the ∞-Bakry–Émery… read more here.
Keywords: gradient estimates; nonlinear elliptic; elliptic equation; estimates liouville ... See more keywords