We establish a Harnack inequality for a class of quasi-linear PDE modeled on the p-Laplacian for Hormander vector fields. Our estimates are derived assuming that the control distance generated by the vector fields induces the topology on M, a doubling condition for the measure of metric balls; and the validity of a Poincaré inequality
Benny Avelin, Luca Capogna, Giovanna Citti, Kaj Nyström (2014). Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian. ADVANCES IN MATHEMATICS, 257, 25-65 [10.1016/j.aim.2014.02.018].
Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian
CITTI, GIOVANNA;
2014
Abstract
We establish a Harnack inequality for a class of quasi-linear PDE modeled on the p-Laplacian for Hormander vector fields. Our estimates are derived assuming that the control distance generated by the vector fields induces the topology on M, a doubling condition for the measure of metric balls; and the validity of a Poincaré inequalityFile in questo prodotto:
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