Asymptotic mean value formula for sub-p-harmonic functions on the Heisenberg group

作者：Liu, Hairong^*; Yang, Xiaoping

来源：Journal of Functional Analysis, 2013, 264(9): 2177-2196.

DOI：10.1016/j.jfa.2013.02.009

• Heisenberg group
• Mean value formula
• Sub-p-harmonic
• Viscosity solution
• Taylor expansion

In this paper, we prove an asymptotic mean value formula of sub-p-harmonic functions in the viscosity sense on the Heisenberg group. As an application, we give a new proof of the Harnack inequality for sub-p-harmonic functions on the Heisenberg group.

• 出版日期2013-5-1
• 单位南京理工大学; 南京林业大学