Intrinsically biharmonic maps into homogeneous spaces

DOI10.1515/ACV.2011.018zbMath1267.58013OpenAlexW1994052718MaRDI QIDQ3167327

Peter Hornung, Roger Moser

Publication date: 2 November 2012

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2011.018

zbMATH Keywords

regularityEuler-Lagrange equationbiharmonic maps

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Variational methods for higher-order elliptic equations (35J35)

Related Items (1)

A reformulation of the biharmonic map equation

Cites Work

• A monotonicity formula for stationary biharmonic maps
• Regularity of polyharmonic maps in the critical dimension
• A note on Riesz potentials
• Everywhere discontinuous harmonic maps into spheres
• Quasiregular mappings in even dimensions
• Remarks on biharmonic maps into spheres
• \(H^p\) spaces of several variables
• Regularity of weakly harmonic maps from a surface into a manifold with symmetries
• A Variational Problem Pertaining to Biharmonic Maps
• Stationary biharmonic maps fromRm into a Riemannian manifold
• Conservation Laws for Fourth Order Systems in Four Dimensions

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