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Subelliptic Cordes estimates
Authors:Andrá  s Domokos  Juan J Manfredi
Institution:Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, Pennsylvania 15260 ; Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, Pennsylvania 15260
Abstract:We prove Cordes type estimates for subelliptic linear partial differential operators in non-divergence form with measurable coefficients in the Heisenberg group. As an application we establish interior horizontal $W^{2,2}$-regularity for p-harmonic functions in the Heisenberg group ${\mathbb H}^1$ for the range $\frac{\sqrt{17}-1}{2} \leq p < \frac{5+\sqrt{5}}{2}$.

Keywords:Cordes conditions  subelliptic equations  p-Laplacian
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