An initial value approach to rotationally symmetric harmonic maps.

DOI10.1016/S0022-247X(03)00195-1zbMath1109.58021OpenAlexW2075395425MaRDI QIDQ1419756

Leung-Fu Cheung, Chun-Kong Law

Publication date: 26 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00195-1

zbMATH Keywords

Harmonic mapHyperbolic spaceModel spaceRotational symmetry

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Harmonic maps, etc. (58E20)

Related Items (11)

Existence of positive solutions for a second-orderm+1-point discrete boundary value problem ⋮ Integrability of rotationally symmetric \(n\)-harmonic maps ⋮ Rotationally symmetric harmonic diffeomorphisms between surfaces ⋮ On a class of rotationally symmetric \(p\)-harmonic maps ⋮ Uniqueness of positive solutions to the rotationally symmetric \(p\)-harmonic map equations ⋮ Harmonic diffeomorphisms between the annuli with rotational symmetry ⋮ Unbounded positive entire solutions of rotationally symmetric harmonic map equations ⋮ Entire solutions of quasilinear differential equations corresponding to p-harmonic maps ⋮ Positive solutions of second order quasilinear equations corresponding to p-harmonic maps ⋮ Positive solutions for a higher-order \(m\)-point boundary value problem ⋮ Positive solutions of quasilinear differential equations corresponding to F-harmonic maps

Cites Work

• Function theory on manifolds which possess a pole
• Rotationally symmetric harmonic maps from a ball into a warped product manifold
• On the asymptotic behaviour of rotationally symmetric harmonic maps
• A non-existence result for harmonic mappings from \(R^ n\) into \(H^ n\)
• Entire solutions of quasilinear differential equations corresponding to p-harmonic maps
• Bounded positive solutions of rotationally symmetric harmonic map equations
• Unnamed Item

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