A certain critical density property for invariant Harnack inequalities in H-type groups
Analysis of PDEs
2013-02-21 v1
Abstract
We consider second order linear degenerate-elliptic operators which are elliptic with respect to horizontal directions generating a stratified algebra of H-type. Extending a result by Guti\'errez and Tournier for the Heisenberg group, we prove a critical density estimate by assuming a condition of Cordes-Landis type. We then deduce an invariant Harnack inequality for the non-negative solutions from a result by Di Fazio, Guti\'errez, and Lanconelli.
Keywords
Cite
@article{arxiv.1302.4999,
title = {A certain critical density property for invariant Harnack inequalities in H-type groups},
author = {Giulio Tralli},
journal= {arXiv preprint arXiv:1302.4999},
year = {2013}
}
Comments
13 pages