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

Copyright © 2007 Yifei Pan and Mei Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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