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arXiv · 1811.08546

Analysis of the Inhomogeneous Willmore Equation

Yann Bernard·Glen Wheeler·Valentina-Mira Wheeler
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Abstract

We study a class of fourth-order geometric problems modelling Willmore surfaces, conformally constrained Willmore surfaces, isoperimetrically constrained Willmore surfaces, bi-harmonic surfaces in the sense of Chen, among others. We prove several local energy estimates and derive a global gap lemma.

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Yann Bernard, Glen Wheeler, Valentina-Mira Wheeler. 2018-11-21. Analysis of the Inhomogeneous Willmore Equation. https://arxiv.org/abs/1811.08546

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