Volume 31, Issue 3
Gradient Estimates and Liouville-Type Theorems for a Nonlinear Elliptic Equation

Zhu Chaona

10.4208/jpde.v31.n3.4

J. Part. Diff. Eq., 31 (2018), pp.237-251

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  • 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.

  • History

Published online: 2018-09

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