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arXiv · 1904.05215

An $\varepsilon$-regularity result with mean curvature control for Willmore immersions and application to minimal bubbling

Nicolas Marque
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Abstract

In this paper we prove a convergence result for sequences of Willmore immersions with simple minimal bubbles. To this end we replace the total curvature control in T. Rivi\`ere's proof of the $\varepsilon$-regularity for Willmore immersions by a control of the local Willmore energy.

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Nicolas Marque. 2019-04-10. An $\varepsilon$-regularity result with mean curvature control for Willmore immersions and application to minimal bubbling. https://doi.org/10.5802/aif.3464

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