Subelliptic harmonic maps
From MaRDI portal
Publication:4211164
DOI10.1090/S0002-9947-98-01992-8zbMath0980.35051OpenAlexW1634062672MaRDI QIDQ4211164
Publication date: 10 September 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-98-01992-8
Harmonic maps, etc. (58E20) Variational methods for second-order elliptic equations (35J20) Subelliptic equations (35H20)
Related Items (38)
Smoothness of harmonic maps for hypoelliptic diffusions. ⋮ Yang–Mills fields on CR manifolds ⋮ On the Dirichlet problem for the harmonic vector fields equation ⋮ \(L^{p}\)-estimates for quasilinear subelliptic equations with VMO coefficients under the controllable growth ⋮ Subelliptic harmonic morphisms ⋮ On the regularity of weak contact \(p\)-harmonic maps ⋮ Pseudo-harmonic maps from complete noncompact pseudo-Hermitian manifolds to regular balls ⋮ Some results on subelliptic equations ⋮ Gravitational field equations on Fefferman space-times ⋮ Lower bounds of Dirichlet eigenvalues for a class of higher order degenerate elliptic operators ⋮ Harmonic maps of foliated Riemannian manifolds ⋮ On subelliptic harmonic maps with potential ⋮ Second variation formula and stability of exponentially subelliptic harmonic maps ⋮ Heat flows of subelliptic harmonic maps into Riemannian manifolds with nonpositive curvatures ⋮ Existence of multiple solutions to semilinear Dirichlet problem for subelliptic operator ⋮ Subelliptic biharmonic maps ⋮ Levi harmonic maps of contact Riemannian manifolds ⋮ Unnamed Item ⋮ A lower bound on the spectrum of the Sublaplacian ⋮ Proper holomorphic maps in harmonic map theory ⋮ Linearized pseudo-Einstein equations on the Heisenberg group ⋮ Rigidity theorems for complete Sasakian manifolds with constant pseudo-Hermitian scalar curvature ⋮ SOBOLEV CLASSES AND HORIZONTAL ENERGY MINIMIZERS BETWEEN CARNOT–CARATHÉODORY SPACES ⋮ Regularity of subelliptic \(p\)-harmonic systems with subcritical growth in Carnot group ⋮ Pseudoharmonic maps and vector fields on \(CR\) manifolds ⋮ Eells-Sampson type theorems for subelliptic harmonic maps from sub-Riemannian manifolds ⋮ Liouville-type theorems for \(CC\)-\(F\)-harmonic maps into a Carnot group ⋮ On the geometry of tangent hyperquadric bundles: CR and pseudoharmonic vector fields ⋮ X-Elliptic Harmonic Maps ⋮ Pseudo-harmonic maps from closed pseudo-Hermitian manifolds to Riemannian manifolds with nonpositive sectional curvature ⋮ Gradient estimate of positive eigenfunctions of sub-Laplacian on complete pseudo-Hermitian manifolds ⋮ Exponentially harmonic maps into spheres ⋮ Exponentially subelliptic harmonic maps from the Heisenberg group into a sphere ⋮ Contact harmonic maps ⋮ Convergence of a class of degenerate Ginzburg-Landau functionals and regularity for a subelliptic harmonic map equation ⋮ Generalized maximum principles and stochastic completeness for pseudo-Hermitian manifolds ⋮ Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation ⋮ Liouville theorems of subelliptic harmonic maps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fundamental solutions and geometry of the sum of squares of vector fields
- Harmonic mappings and minimal submanifolds
- On the regularity of the minima of variational integrals
- Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen
- Harmonic maps of manifolds with boundary
- A-priori Schranken für Lösungen gewisser elliptischer Systeme
- Hypoelliptic differential operators and nilpotent groups
- An existence theorem for harmonic mappings of Riemannian manifolds
- Uniqueness and stability of harmonic maps and their Jacobi fields
- Equilibrium maps between metric spaces
- Correction to ``A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
- Higher interior regularity for quasilinear subelliptic systems
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- Convex functionals and generalized harmonic maps into spaces of non positive curvature
- A Saint-Venant type principle for Dirichlet forms on discontinuous media
- Hypoelliptic second order differential equations
- Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
- Regularity for quasilinear second‐order subelliptic equations
- Harmonic Mappings of Riemannian Manifolds
- Subelliptic variational problems
This page was built for publication: Subelliptic harmonic maps