Abstract
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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Manfredi, J.J., Mingione, G. Regularity results for quasilinear elliptic equations in the Heisenberg group. Math. Ann. 339, 485–544 (2007). https://doi.org/10.1007/s00208-007-0121-3
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DOI: https://doi.org/10.1007/s00208-007-0121-3