Geodesic
Local regularity of solutions to quasilinear subelliptic equations in Carnot Caratheodory spaces
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 2, pp. 485-504 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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We prove Harnack inequality for weak solutions to quasilinear subelliptic equation of the following kind \begin{equation*}\tag{*}\sum_{J=1}^{m} X_{j}^{*}A_{j}(x, u(x), Xu(x)) + B(x, u(x), Xu(x)) = 0,\end{equation*} where $X_{1}, \ldots, X_{m}$ are a system of non commutative locally Lipschitz vector fields. As a consequence, the weak solutions of (*) are continuous. 
@article{BUMI_2006_8_9B_2_a11,
     author = {Di Fazio, Giuseppe and Zamboni, Pietro},
     title = {Local regularity of solutions to quasilinear subelliptic equations in {Carnot} {Caratheodory} spaces},
     journal = {Bollettino della Unione matematica italiana},
     pages = {485--504},
     year = {2006},
     volume = {Ser. 8, 9B},
     number = {2},
     zbl = {1178.35163},
     mrnumber = {2233147},
     language = {en},
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}
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Di Fazio, Giuseppe; Zamboni, Pietro. Local regularity of solutions to quasilinear subelliptic equations in Carnot Caratheodory spaces. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 2, pp. 485-504. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_2_a11/