Abstract
Let be a mapping from a bounded domain into a compact Riemannian manifold . Its intrinsic biharmonic energy is given by the squared -norm of the intrinsic Hessian of . We consider weakly converging sequences of critical points of . Our main result is that the energy dissipation along such a sequence is fully due to energy concentration on a finite set and that the dissipated energy equals a sum over the energies of finitely many entire critical points of .
Citation
Peter Hornung. Roger Moser. "Energy identity for intrinsically biharmonic maps in four dimensions." Anal. PDE 5 (1) 61 - 80, 2012. https://doi.org/10.2140/apde.2012.5.61
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