Non-tangentially accessible domains for vector fields

DOI10.1512/iumj.2005.54.2540zbMath1143.57013OpenAlexW2050452293MaRDI QIDQ4681353

Daniele Morbidelli, Roberto Monti

Publication date: 23 June 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c495599671ced339a0ebc4cf1f21a0b3d37d097d

zbMATH Keywords

John domainsHörmander vector fieldscorkscrew conditioncontrol distanceNTA domainsdegenerate elliptic PDEinterior cone property

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15) Sub-Riemannian geometry (53C17) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

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John domains for the control distance of diagonal vector fields ⋮ \(p\)-harmonic functions in the Heisenberg group: boundary behaviour in domains well-approximated by non-characteristic hyperplanes ⋮ Wolff-potential estimates and doubling of subelliptic \(p\)-harmonic measures ⋮ John and uniform domains in generalized Siegel boundaries ⋮ Ahlfors type estimates for perimeter measures in Carnot-Carathéodory spaces ⋮ Boundary behavior of \(p\)-harmonic functions in the Heisenberg group ⋮ A note on the extension of BV functions in metric measure spaces ⋮ Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces ⋮ Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups ⋮ Convergence of a class of degenerate Ginzburg-Landau functionals and regularity for a subelliptic harmonic map equation

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