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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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Detalles Bibliográficos
Autores principales: Rupp, Fabian, Scharrer, Christian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9789940/
https://www.ncbi.nlm.nih.gov/pubmed/36578357
http://dx.doi.org/10.1007/s00526-022-02381-7