C^{k,α}-regularity of solutions to quasilinear equations structured on Hörmander's vector fields

preprint2013arXivOpen access

Abstract

For a linear nonvariational operator structured on smooth Hörmander's vector fields, with Hölder continuous coefficients, we prove a regularity result in the spaces of Hölder functions. We deduce an analogous regularity result for nonvariational degenerate quasilinear equations.

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