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Energy quantization for biharmonic maps. (English) Zbl 1275.35098

In the very interesting paper under review, the authors establish an energy quantization (energy identity) result for solutions to four-dimensional scaling invariant variational problems which includes biharmonic maps (extrinsic and intrinsic). The approach is based on establishing of an angular energy quantization for solutions to critical linear elliptic systems of fourth order with antisymmetric potentials, and is inspired by the one introduced by the authors for second-order problems.

MSC:

35J48 Higher-order elliptic systems
35J60 Nonlinear elliptic equations
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