Entire solutions of quasilinear differential equations corresponding to p-harmonic maps

DOI10.1016/S0362-546X(97)00434-3zbMath0893.34018OpenAlexW2087298191MaRDI QIDQ4373355

Man-Chun Leung, Leung-Fu Cheung, John Bryce McLeod, Chun-Kong Law

Publication date: 21 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00434-3

zbMATH Keywords

growthasymptotic behaviour\(p\)-harmonic mapsbounded entire solutionsrotationally symmetric maps

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items

Integrability of rotationally symmetric \(n\)-harmonic maps ⋮ On a class of rotationally symmetric \(p\)-harmonic maps ⋮ Uniqueness of positive solutions to the rotationally symmetric \(p\)-harmonic map equations ⋮ An initial value approach to rotationally symmetric harmonic maps. ⋮ Maximum principles and nonexistence results for radial solutions to equations involvingp-Laplacian ⋮ On \(p\)-harmonic maps and convex functions ⋮ Positive solutions of quasilinear differential equations corresponding to F-harmonic maps ⋮ On the blow-up of heat flow for conformal $3$-harmonic maps

Cites Work

• Unnamed Item
• Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
• On the asymptotic behaviour of rotationally symmetric harmonic maps
• Regularity for a class of nonlinear elliptic systems
• An initial value approach to rotationally symmetric harmonic maps.
• A CONSTRUCTION OF M-HARMONIC MAPS OF SPHERES
• Harmonic functions on complete riemannian manifolds
• A Report on Harmonic Maps
• Asymptotic behavior of rotationally symmetric p-harmonic maps
• A remark on p-harmonic maps
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations