Geodesic
Harnack Inequality and Smoothness for some Non Linear Degenerate Elliptic Equations
Minimax theory and its applications, Tome 4 (2019) no. 1
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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.
Mots-clés : Harnack inequality, Muckenhoupt weights, degenerate elliptic equations, Stummel Kato classes, Hörmander vector fields 
@article{MTA_2019_4_1_a5,
     author = {Giuseppe Di Fazio,Maria S. Fanciullo,Pietro Zamboni},
     title = {Harnack {Inequality} and {Smoothness} for some {Non} {Linear} {Degenerate} {Elliptic} {Equations}},
     journal = {Minimax theory and its applications},
     year = {2019},
     volume = {4},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a5/}
}
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Giuseppe Di Fazio,Maria S. Fanciullo,Pietro Zamboni. Harnack Inequality and Smoothness for some Non Linear Degenerate Elliptic Equations. Minimax theory and its applications, Tome 4 (2019) no. 1. http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a5/