Maximum principles, uniqueness and existence for harmonic maps with potential and Landau-Lifshitz equations

DOI10.1007/s005260050118zbMath0933.58016OpenAlexW1988556492MaRDI QIDQ1290382

Qun Chen

Publication date: 29 March 2000

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050118

zbMATH Keywords

potentialmaximum principleDirichlet problemexistenceuniquenessharmonic mapsLandau-Lifshitz equationcompact Riemannian manifold with boundary

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32)

Related Items (7)

Existence and asymptotic of axially symmetric solutions for Landau-Lifshitz equilibrium systems ⋮ Some remarks on energy inequalities for harmonic maps with potential ⋮ On subelliptic harmonic maps with potential ⋮ Schrödinger soliton from Lorentzian manifolds ⋮ A note on Morse inequalities for harmonic maps with potential and their applications ⋮ On the anisotropic Landau-Lifshitz equations ⋮ Some aspects of Dirac-harmonic maps with curvature term

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