Double ball property: an overview and the case of step two Carnot groups

We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov-Safonov's Harnack inequality problem for this k...

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Bibliographic Details
Main Author: Giulio Tralli
Format: Article
Language:English
Published: University of Bologna 2012-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:http://mathematicalanalysis.unibo.it/article/view/3417