Journal of Applied Mathematics and Stochastic Analysis 
Volume 2007 (2007), Article ID 39171, 12 pages
doi:10.1155/2007/39171
Research Article

Monotonicity of Harnack Inequality for Positive Invariant Harmonic Functions

Yifei Pan1,2 and Mei Wang3

 1Department of Mathematical Sciences, Indiana University-Purdue University Fort Wayne, Fort Wayne 46805-1499, IN, USA
2School of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330027, China
3Department of Statistics, University of Chicago, Chicago 60637, IL, USA
Received 13 February 2007; Revised 16 June 2007; Accepted 17 October 2007

Abstract

A monotonicity property and a refined estimate of Harnack inequality are derived for positive solutions of the Weinstein equation.