Integrability of rotationally symmetric \(n\)-harmonic maps

DOI10.1016/j.jmaa.2006.04.073zbMath1106.31006OpenAlexW1977951374MaRDI QIDQ860620

Chao-Nien Chen, Leung-Fu Cheung, Chun-Kong Law, Yung-Sze Choi

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.073

zbMATH Keywords

rotational symmetry\(p\)-harmonic mapmodel space\(n\)-harmonic mapdichotomy phenomenon

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (3)

On a class of rotationally symmetric \(p\)-harmonic maps ⋮ Harmonicity of the inverse of a harmonic diffeomorphism ⋮ On the blow-up of heat flow for conformal $3$-harmonic maps

Cites Work

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• Rotationally symmetric harmonic maps from a ball into a warped product manifold
• Finite-time blow-up of the heat flow of harmonic maps from surfaces
• On the asymptotic behaviour of rotationally symmetric harmonic maps
• A non-existence result for harmonic mappings from \(R^ n\) into \(H^ n\)
• Finite time blow-up for the harmonic map heat flow
• An initial value approach to rotationally symmetric harmonic maps.
• On the blow-up of heat flow for conformal $3$-harmonic maps
• Entire solutions of quasilinear differential equations corresponding to p-harmonic maps
• Bounded positive solutions of rotationally symmetric harmonic map equations

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