A strict inequality for the minimization of the Willmore functional under isoperimetric constraint

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...

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Hlavní autoři: Mondino, A, Scharrer, C
Médium: Journal article
Jazyk:English
Vydáno: De Gruyter 2021