# A pointwise gradient bound for elliptic equations on compact manifolds with nonnegative Ricci curvature

created by farina on 12 May 2011

[BibTeX]

Accepted Paper

Inserted: 12 may 2011

Journal: Discrete and Continuous Dynamical System - Series A
Year: 2011

Abstract:

We prove a sharp pointwise gradient bound for solutions of $\Delta u+F'(u)=0$ on compact manifolds with nonnegative Ricci curvature.