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Energy identity for intrinsically biharmonic maps in four dimensions


Reference:

Hornung, P. and Moser, R., 2012. Energy identity for intrinsically biharmonic maps in four dimensions. Analysis & PDE, 5 (1), pp. 61-80.

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Official URL:

http://dx.doi.org/10.2140/apde.2012.5.61

Abstract

Let u be a mapping from a bounded domain S ⊂ ℝ4 into a compact Riemannian manifold N. Its intrinsic biharmonic energy E2.u/ is given by the squared L2-norm of the intrinsic Hessian of u. We consider weakly converging sequences of critical points of E2. 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 E1.

Details

Item Type Articles
CreatorsHornung, P.and Moser, R.
DOI10.2140/apde.2012.5.61
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code23332

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