Constant boundary-value problems for \(p\)-harmonic maps with potential

DOI10.1016/j.geomphys.2007.08.006zbMath1136.53034OpenAlexW2060905569MaRDI QIDQ2469970

Jiancheng Liu

Publication date: 11 February 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.08.006

zbMATH Keywords

\(p\)-harmonic maps with potentialradial Ricci operator

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

A MONOTONICITY FORMULA AND A LIOUVILLE TYPE THEOREM OF V-HARMONIC MAPS ⋮ On vanishing theorems for vector bundle valued \(p\)-forms and their applications

Cites Work

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• Function theory on manifolds which possess a pole
• Gap theorems for noncompact Riemannian manifolds
• Stability and quantum phenomenon and Liouville theorems of \(p\)-harmonic maps with potential
• Harmonic maps of bounded symmetric domains
• The Landau-Lifshitz equation with the external field -- a new extension for harmonic maps with values in \(S^ 2\)
• Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory
• Harmonic maps with potential

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