Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications

Author:

Bernard Yann,Laurain PaulORCID,Marque Nicolas

Funder

ANR

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference34 articles.

1. Alday, L.F., Maldacena, J.: Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space. J. High Energy Phys. 2009(11), 082, 2009

2. Bernard, Y., Rivière, T.: Energy quantization for Willmore surfaces and applications. Ann. Math. (2) 180(1), 87–136, 2014

3. Bernard, Y., Rivière, T.: Uniform regularity results for critical and subcritical surface energies. Calc. Var. Partial Differ. Equ. 58(1), 1–39, 2019

4. Bernard, Y., Wheeler, G., Wheeler, V.: Analysis of the inhomogeneous Willmore equation. arXiv:1811.08546, to appear in Ann. Inst. H. Poincaré (2021), 2018

5. Blaschke, W.: Vorlesungen über Integralgeometrie, vol. 3te Aufl. Deutscher Verlag der Wissenschaften, Berlin (1955)

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