Energy identity for intrinsically biharmonic maps in four dimensions

DOI10.2140/apde.2012.5.61zbMath1273.58007OpenAlexW2013933374MaRDI QIDQ1951720

Roger Moser, Peter Hornung

Publication date: 24 May 2013

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: http://msp.org/apde/2012/5-1/p02.xhtml

zbMATH Keywords

energy identitybiharmonic mapbubbling

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Harmonic maps, etc. (58E20) Variational methods for higher-order elliptic equations (35J35)

Related Items (10)

Neck analysis for biharmonic maps ⋮ Minimizing sequences for conformally invariant integrals of higher order ⋮ \(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials ⋮ Neck analysis of extrinsic polyharmonic maps ⋮ Doubling annulus Pohožaev type identity and applications to approximate biharmonic maps ⋮ Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds ⋮ A relaxation of the intrinsic biharmonic energy ⋮ Energy identity of approximate biharmonic maps to Riemannian manifolds and its application ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ Problem analysis according to invariants

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