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

英文摘要：

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.