SOBOLEV CLASSES AND HORIZONTAL ENERGY MINIMIZERS BETWEEN CARNOT–CARATHÉODORY SPACES
From MaRDI portal
Publication:4659528
DOI10.1142/S0219199704001343zbMath1071.58016arXivmath/0701280WikidataQ125740977 ScholiaQ125740977MaRDI QIDQ4659528
Publication date: 21 March 2005
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701280
Regularity of solutions in optimal control (49N60) Geodesics in global differential geometry (53C22) Harmonic maps, etc. (58E20)
Related Items (2)
Asymptotically mean value harmonic functions in subriemannian and RCD settings ⋮ Characterisation of the sub-Riemannian isometry groups of theH-type groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces
- On Carnot-Caratheodory metrics
- Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
- Quasiconformal maps in metric spaces with controlled geometry
- Differentiability of Lipschitz functions on metric measure spaces
- Equilibrium maps between metric spaces
- Approximately differentiable transformations and change of variables on nilpotent groups
- Hölder continuity of harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature
- Lectures on analysis on metric spaces
- \(L^1\rightarrow L^q\) Poincaré inequalities for \(0<q<1\) imply representation formulas
- Sobolev classes of Banach space-valued functions and quasiconformal mappings
- Minimizing area among Lagrangian surfaces: the mapping problem.
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- Definitions of Sobolev classes on metric spaces
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
- Hodge decomposition. A method for solving boundary value problems
- Sobolev spaces and harmonic maps for metric space targets
- Convex functionals and generalized harmonic maps into spaces of non positive curvature
- Sobolev-type classes of functions with values in a metric space
- Generalized Dirichlet forms and harmonic maps
- Subelliptic harmonic maps
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
- On generalized measure contraction property and energy functionals over Lipschitz maps
This page was built for publication: SOBOLEV CLASSES AND HORIZONTAL ENERGY MINIMIZERS BETWEEN CARNOT–CARATHÉODORY SPACES
