Calculus of Variations and Geometric Measure Theory

F. Ferrari - A. Pinamonti

Characterization by asymptotic mean formulas of q-harmonic functions in Carnot groups

created by pinamonti on 02 Jul 2014
modified by paolini on 19 Dec 2014


Accepted Paper

Inserted: 2 jul 2014
Last Updated: 19 dec 2014

Journal: Potential Analysis
Year: 2014


Aim of this paper is to extend the work \cite{FLM1} to the Carnot group setting. More precisely, we prove that in every Carnot group a function is $q-$harmonic (here $1<q<\infty$), if and only if it satisfies a particular asymptotic mean value formula.

Tags: GeMeThNES