We prove Harnack inequality and smoothness for weak solutions of quasilinear degenerate elliptic equation with respect to a system of non commuting vector fields. In addition, the structure assumptions allow quadratic growth in the gradient.

Harnack Inequality and Smoothness for some Non Linear Degenerate Elliptic Equations

Di Fazio, G;Fanciullo, Maria;Zamboni, P
2019

Abstract

We prove Harnack inequality and smoothness for weak solutions of quasilinear degenerate elliptic equation with respect to a system of non commuting vector fields. In addition, the structure assumptions allow quadratic growth in the gradient.
Harnack inequality; Muckenhoupt weights; degenerate elliptic equations; Stummel-Kato classes; Hormander vector fields
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/365595
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