Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds
DOI10.1016/j.matpur.2017.12.006zbMath1411.53024arXiv1603.05548OpenAlexW2963665490WikidataQ109520604 ScholiaQ109520604MaRDI QIDQ1756304
Enrico Le Donne, Alessandro Ottazzi, Luca Capogna, Giovanna Citti
Publication date: 14 January 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05548
Liouville theoremsub-Riemannian geometryquasi-conformal mapsharmonic coordinatesregularity for \(p\)-harmonic functionssubelliptic PDE
Differentiable maps on manifolds (58C25) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)
Related Items (12)
Cites Work
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- A subelliptic analogue of Aronson-Serrin's Harnack inequality
- Ultrarigid tangents of sub-Riemannian nilpotent groups
- On the Hausdorff volume in sub-Riemannian geometry
- \(n\)-harmonic coordinates and the regularity of conformal mappings
- On Carnot-Caratheodory metrics
- On isometries and on a theorem of Liouville
- Conformality and \(Q\)-harmonicity in Carnot groups
- On the regularity of subelliptic \(p\)-harmonic functions in Carnot groups
- Nonlinear subelliptic equations
- A second order differentiability technique of Bojarski-Iwaniec in the Heisenberg group
- Regularity results for \(p\)-harmonic functions in higher order Grušin planes
- Quasiconformal mappings on the Heisenberg group
- Balls and metrics defined by vector fields. I: Basic properties
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
- Regularity for a more general class of quasilinear equations
- Hypoelliptic differential operators and nilpotent groups
- Regularity for a class of nonlinear elliptic systems
- Quasiconformal maps in metric spaces with controlled geometry
- Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups
- Differentiability of Lipschitz functions on metric measure spaces
- \(n\)-harmonic morphisms in space are Möbius transformations
- Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
- Harnack's inequality for parabolic De Giorgi classes in metric spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
- The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
- Conformal equivalence of visual metrics in pseudoconvex domains
- Gradient regularity for elliptic equations in the Heisenberg group
- Harnack estimates for degenerate parabolic equations modeled on the subelliptic \(p\)-Laplacian
- Absolute continuity of quasiconformal mappings on curves
- Regularity results for quasilinear elliptic equations in the Heisenberg group
- Hypoelliptic second order differential equations
- Linear and quasilinear elliptic equations
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Smoothness of subRiemannian isometries
- Conformal maps of Carnot groups
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- p-Laplace Equation in the Heisenberg Group
- Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities
- Rings and Quasiconformal Mappings in Space
- Regularity for quasilinear second‐order subelliptic equations
- An embedding theorem and the harnack inequality for nonlinear subelliptic equations
- Regularity of quasi-linear equations in the Heisenberg group
- Sobolev met Poincaré
- A new proof of the $C^\infty $ regularity of $C^2$ conformal mappings on the Heisenberg group
- A formula for Popp's volume in sub-Riemannian geometry
- Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
- On the Regularity of Nonlinear Subelliptic Equations
- Geometric and analytic quasiconformality in metric measure spaces
- Strong Rigidity of Locally Symmetric Spaces. (AM-78)
- Hyperbolic manifolds and discrete groups
- Regularity of quasi-minimizers on metric spaces
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