C^{k,\alpha}-regularity of solutions to quasilinear equations structured on H\"ormander's vector fields
Analysis of PDEs
2013-04-19 v1
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.
Cite
@article{arxiv.1304.5236,
title = {C^{k,\alpha}-regularity of solutions to quasilinear equations structured on H\"ormander's vector fields},
author = {Marco Bramanti and Maria Stella Fanciullo},
journal= {arXiv preprint arXiv:1304.5236},
year = {2013}
}