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• W3108891874 abstract "Abstract Inspired by previous work of Kusner and Bauer–Kuwert, we prove a strict inequality between the Willmore energies of two surfaces and their connected sum in the context of isoperimetric constraints. Building on previous work by Keller, Mondino and Rivière, our strict inequality leads to existence of minimizers for the isoperimetric constrained Willmore problem in every genus, provided the minimal energy lies strictly below <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mn>8</m:mn> <m:mo>⁢</m:mo> <m:mi>π</m:mi> </m:mrow> </m:math> {8pi} . Besides the geometric interest, such a minimization problem has been studied in the literature as a simplified model in the theory of lipid bilayer cell membranes." @default.
• W3108891874 created "2020-12-07" @default.
• W3108891874 creator A5015153981 @default.
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• W3108891874 date "2021-06-01" @default.
• W3108891874 modified "2023-09-26" @default.
• W3108891874 title "A strict inequality for the minimization of the Willmore functional under isoperimetric constraint" @default.
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• W3108891874 doi "https://doi.org/10.1515/acv-2021-0002" @default.
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