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arXiv · 1312.5787

Compactness Results for Sequences of Approximate Biharmonic Maps

Christine Breiner·Tobias Lamm
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Abstract

In this article, we prove energy quantization for approximate (intrinsic and extrinsic) biharmonic maps into spheres where the approximate map is in $L \log L$. Moreover, we demonstrate that if the $L\log L$ norm of the approximate maps does not concentrate, the image of the bubbles are connected without necks.

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Christine Breiner, Tobias Lamm. 2013-12-20. Compactness Results for Sequences of Approximate Biharmonic Maps. https://doi.org/10.2140/pjm.2015.276.59

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