On the regularity of weak contact \(p\)-harmonic maps

DOI10.1155/2013/197410zbMath1269.53069OpenAlexW2038784803WikidataQ59006542 ScholiaQ59006542MaRDI QIDQ355857

Sorin Dragomir, Robert Petit

Publication date: 25 July 2013

Published in: Journal of Complex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/197410

zbMATH Keywords

Heisenberg groupsphereHölder continuityCaccioppoli-type estimate

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items

Proper holomorphic maps in harmonic map theory, Contact harmonic maps

Cites Work

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• Contact harmonic maps
• The imbedding problem for Riemannian manifolds
• Fundamental solutions and geometry of the sum of squares of vector fields
• Sub-Riemannian geometry
• A mapping of Riemannian manifolds which preserves harmonic functions
• A decomposition into atoms of distributions on spaces of homogeneous type
• Pseudo-hermitian structures on a real hypersurface
• Subelliptic \(p\)-harmonic maps into spheres and the ghost of Hardy spaces
• Higher interior regularity for quasilinear subelliptic systems
• Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
• Subelliptic harmonic maps from Carnot groups
• Regularity results for nonlinear elliptic systems and applications
• Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
• Nash \(C^ 1\)-embedding theorem for Carnot-Carathéodory metrics
• Uniqueness of subelliptic harmonic maps
• Differential geometry and analysis on CR manifolds
• A note on boundary regularity of subelliptic harmonic maps
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Hölder continuity of solutions of elliptic systems
• Variational Problems on Contact Riemannian Manifolds
• Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential
• Subelliptic harmonic maps
• Pseudoharmonic maps from nondegenerate CR manifolds to Riemannian manifolds
• A fundamental solution for a subelliptic operator
• Riemannian geometry of contact and symplectic manifolds