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arXiv · 1304.5236

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

Marco Bramanti·Maria Stella Fanciullo
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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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Marco Bramanti, Maria Stella Fanciullo. 2013-04-18. C^{k,α}-regularity of solutions to quasilinear equations structured on Hörmander's vector fields. https://arxiv.org/abs/1304.5236

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