On the monotonicity of positive invariant harmonic functions in the unit ball

2007/02/03 by Pan, Yifei, Wang, Mei
#31B05 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0702064

Abstract

A monotonicity property of Harnack inequality is proved for positive invariant harmonic functions in the unit ball.

Related

• A Strengthening of the Harnack Inequality
• Uniqueness results for positive harmonic functions on \mathbbBⁿ satisfying a nonlinear boundary condition
• Schwarz lemma for harmonic functions in the unit ball
• Optimal estimates for harmonic functions in the unit ball
• Scaling invariant Harnack inequalities in a general setting