A relaxation of the intrinsic biharmonic energy


Hornung, P., 2012. A relaxation of the intrinsic biharmonic energy. Mathematische Zeitschrift, 271 (3-4), pp. 663-692.

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The tension field τ(u) of a map u from a domain Ω ⊂ ℝ m into a manifold N is the negative L 2-gradient of the Dirichlet energy. In this paper we study the intrinsic biharmonic energy functional. In order to overcome the lack of coercivity of T, we extend it to a larger space. We construct minimizers of the extended functional via the direct method and we study the relation between these minimizers and critical points of T. Our results are restricted to dimensions m ≤ 4.


Item Type Articles
CreatorsHornung, P.
DepartmentsFaculty of Science > Mathematical Sciences
ID Code31175


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