21 citations · 24 across the 3 of their papers we have counts for
3 papers
math.AP2007★ 3 cited
Local gradient estimates of p-harmonic functions, 1/H-flow, and an entropy formula
Brett Kotschwar, Lei Ni
In the first part of this paper, we prove local interior and boundary gradient estimates for p-harmonic functions on general Riemannian manifolds. With these estimates, following t…
math.DG2007★ 21 cited
On rotationally invariant shrinking gradient Ricci solitons
Brett Kotschwar
In this paper we study the gradient Ricci shrinking soliton equation on rotationally symmetric manifolds of dimension three and higher and prove that the only complete examples of…
math.AP2007
Hamilton's gradient estimate for the heat kernel on complete manifolds
Brett Kotschwar
In this paper we extend a gradient estimate of R. Hamilton for positive solutions to the heat equation on closed manifolds to bounded positive solutions on complete, non-compact ma…