2018
DOI: 10.48550/arxiv.1811.08546
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Analysis of the Inhomogeneous Willmore Equation

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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