Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications

Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications

In this paper local and global gradient estimates are obtained for positive solutions to the following nonlinear elliptic equationΔfu+p(x)u+q(x)uα=0, on complete smooth metric measure spaces (MN,g,e−fdv) with ∞-Bakry-Émery Ricci tensor bounded from below, where α is an arbitrary real constant, p(x)...

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Bibliographic Details
Main Authors: Abimbola Abolarinwa, Sulyman O. Salawu, Clement A. Onate
Format: Article
Language:English
Published: Elsevier 2019-11-01
Series:Heliyon
Subjects:
Mathematics
Riemannian manifolds
Elliptic equations
Liouville theorem
Gradient estimates
Yamabe problem
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844019364448

Internet

http://www.sciencedirect.com/science/article/pii/S2405844019364448

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