Gradient Estimates And Liouville Theorems For A Class of Nonlinear Elliptic Equations

Pingliang Huang, Youde Wang

In this paper, first we study carefully the positive solutions to $\Delta u+{\lambda }_{1}u\ln u+{\lambda }_2{u}^{b+1}=0$ defined on a complete noncompact Riemannian manifold $(M,g)$ with $Ric(g)\geq -K…