The Dirichlet-problem for harmonic maps from the disk into a Lorentzian warped product

DOI10.1016/S0294-1449(16)30220-7zbMath0784.58020OpenAlexW2273802092MaRDI QIDQ2366601

Carlo Greco

Publication date: 30 August 1993

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1993__10_2_239_0

zbMATH Keywords

Dirichlet problemRiemannian manifoldcritical point theoryLorentzian manifoldharmonic maps

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items (7)

Partial regularity of harmonic maps from a Riemannian manifold into a Lorentzian manifold ⋮ Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces ⋮ Critical point theory and global lorentzian geometry ⋮ Global existence of the harmonic map heat flow into Lorentzian manifolds ⋮ A global weak solution to the Lorentzian harmonic map flow ⋮ Regularity of harmonic maps into a static Lorentzian manifold ⋮ A multiplicity result for the dirichlet problem for harmonic maps from the disk into a lorentzian warped product

Cites Work

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• Elliptic Partial Differential Equations of Second Order
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• Harmonic Mappings of Riemannian Manifolds

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