Multiple solutions of the static Landau-Lifshitz equation from \(B^ 2\) into \(S^ 2\)

DOI10.1007/BF02572616zbMath0843.35029OpenAlexW2040309644MaRDI QIDQ1909549

Min-Chun Hong, Luc Lemaire

Publication date: 22 August 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174811

zbMATH Keywords

three solutionstwo solutionsequation of harmonic maps

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Harmonic maps, etc. (58E20)

Related Items (7)

Landau-Lifshitz equation of ferromagnetism with external magnetic field ⋮ The Landau-Lifshitz equation with the external field -- a new extension for harmonic maps with values in \(S^ 2\) ⋮ Unnamed Item ⋮ Limit behavior of solution for multi-dimensional Landau-Lifshitz equations with external magnetic field ⋮ On the anisotropic Landau-Lifshitz equations ⋮ Harmonic maps with potential ⋮ Existence and stability of cylindrical symmetric static solutions to the Landau-Lifshitz equation for multidirectional ferromagnets

Cites Work

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• An existence theorem for harmonic mappings of Riemannian manifolds
• Applications harmoniques de surfaces riemanniennes
• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• An existence theorem for surfaces of constant mean curvature
• Regularity of weakly harmonic maps from a surface into a manifold with symmetries
• Multiple solutions ofH-systems and Rellich's conjecture
• Another Report on Harmonic Maps

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