Remarks on the regularity of biharmonic maps in four dimensions

DOI10.1002/CPA.20117zbMath1091.58009OpenAlexW2065732304MaRDI QIDQ5469022

Roger Moser

Publication date: 16 May 2006

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20117

zbMATH Keywords

partial regularityweakly harmonic mapsintrinsic biharmonic maps

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40) Harmonic maps, etc. (58E20) Variational methods for higher-order elliptic equations (35J35)

Related Items (9)

Energy convexity of intrinsic bi-harmonic maps and applications. I: Spherical target ⋮ Doubling annulus Pohožaev type identity and applications to approximate biharmonic maps ⋮ Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds ⋮ The Fukumoto-Moffatt's model in the vortex filament and generalized bi-Schrödinger maps ⋮ A relaxation of the intrinsic biharmonic energy ⋮ A Variational Problem Pertaining to Biharmonic Maps ⋮ Regularity and uniqueness of a class of biharmonic map heat flows ⋮ A Trudinger type inequality for maps into a Riemannian manifold ⋮ An 𝐿^{𝑝} regularity theory for harmonic maps

Cites Work

• A partial regularity result for a class of stationary Yang-Mills fields in high dimension.
• Remarks on biharmonic maps into spheres
• Energy identity for a class of approximate harmonic maps from surfaces

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