Ck,α-regularity of solutions to quasilinear equations structured on H\"ormander's vector fields

Abstract

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

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