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Analysis of the Inhomogeneous Willmore Equation

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arxiv 1811.08546 v1 pith:QXC24NXS submitted 2018-11-21 math.DG

Analysis of the Inhomogeneous Willmore Equation

Yann Bernard , Glen Wheeler , Valentina-Mira Wheeler This is my paper
classification math.DG
keywords surfaceswillmoreconstrainedanalysisbi-harmonicchenclassconformally
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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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