Gradient Estimates and Liouville-Type Theorems for a Nonlinear Elliptic Equation

Authors

  • Zhu Chaona School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

DOI:

https://doi.org/10.4208/jpde.v31.n3.4

Keywords:

Gradient estimate;Liouville-Type theorem;shrinking gradient Ricci soliton.

Abstract

In this paper, we consider the following nonlinear elliptic equation △_f^u+hu^α=0 on the complete smooth metric space (Rn, g0, e −f dvg0), where g0 is the Euclidean metric on Rn and f = |x|2/4. We prove gradient estimates and Liouville-Type theorems for positive solutions of the above equation.

Downloads

Published

2018-09-20

Issue

Vol. 31 No. 3 (2018)

Section

Articles