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

Ferrari Fausto - Pinamonti Andrea

year: 2014
journal: Potential Analysis
abstract: 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.

The paper is available on the cvgmt preprint server.