Regularity results for quasilinear elliptic equations in the Heisenberg group

@article{Manfredi2007RegularityRF,
  title={Regularity results for quasilinear elliptic equations in the Heisenberg group},
  author={Juan J. Manfredi and Giuseppe Mingione},
  journal={Mathematische Annalen},
  year={2007},
  volume={339},
  pages={485-544}
}
We prove regularity results for solutions to a class of quasilinear elliptic equations in divergence form in the Heisenberg group $${\mathbb{H}}^n$$ . The model case is the non-degenerate p-Laplacean operator $$\sum_{i=1}^{2n} X_i \left( \left(\mu^2+ \left| {\mathfrak{X}}u \right|^2\right)^\frac{p-2}{2} X_i u\right) =0,$$ where $$\mu > 0$$ , and p is not too far from 2. 
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