On the p-pseudoharmonic map heat flow

DOI10.1142/S0129167X20501049zbMath1457.32092arXiv1602.00375MaRDI QIDQ5146662

Yuxin Dong, Shu-Cheng Chang, Ying Bo Han

Publication date: 26 January 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00375

zbMATH Keywords

Sasakian manifoldpseudohermitian manifold\(p\)-pseudoharmonic map\(p\)-pseudoharmonic map heat flow\(p\)-sublaplacianMorse-type Harnack inequality

Mathematics Subject Classification ID

Other complex differential geometry (53C56) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Cites Work

• Unnamed Item
• Unnamed Item
• On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with nonpositive sectional curvature
• Degenerate parabolic equations
• Existence and partial regularity results for the heat flow for harmonic maps
• The Yamabe problem on CR manifolds
• Blow-up and global existence for heat flows of harmonic maps
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Subelliptic \(p\)-harmonic maps into spheres and the ghost of Hardy spaces
• Heat flow of \(p\)-harmonic maps with values into spheres
• Higher interior regularity for quasilinear subelliptic systems
• On the CR analogue of Reilly formula and Yau eigenvalue conjecture
• Heat flow for \(p\)-harmonic maps with small initial data.
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
• Differential geometry and analysis on CR manifolds
• Global Poincaré inequalities on the Heisenberg group and applications
• Hölder estimates for nonlinear degenerate parabolic sytems.
• The first eigenvalue of a sublaplacian on a pseudohermitian manifold
• Psuedo-Einstein Structures on CR Manifolds
• Mappings minimizing theLp norm of the gradient
• Hälder regularity for the gradient of solutions of certain singular parabolic systems
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Heat flow for p-harmonic maps between compact Riemannian manifolds
• Pseudoharmonic maps from nondegenerate CR manifolds to Riemannian manifolds
• Global weak solutions of the p-harmonic flow into homogeneous spaces
• Finite-time blow-up for the heat flow of pseudoharmonic maps
• A harnack inequality for parabolic differential equations
• Convex Functions and Harmonic Maps
• Harmonic Mappings of Riemannian Manifolds

This page was built for publication: On the p-pseudoharmonic map heat flow