Li–Yau inequalities for the Helfrich functional and applications

We prove a general Li–Yau inequality for the Helfrich functional where the spontaneous curvature enters with a singular volume type integral. In the physically relevant cases, this term can be converted into an explicit energy threshold that guarantees embeddedness. We then apply our result to the s...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2023, Vol.62 (2), p.45-45, Article 45
Hauptverfasser:	Rupp, Fabian, Scharrer, Christian
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus of Variations and Optimal Control Optimization Control Curvature Infimum Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical
Online-Zugang:	Volltext
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