Compactness Results for Sequences of Approximate Biharmonic Maps
classification
🧮 math.AP
math.DG
keywords
approximatemapsbiharmonicarticlebubblescompactnessconcentrateconnected
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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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