Axially Symmetric Willmore Minimizers with Prescribed Isoperimetric Ratio

2023/03/28 by Metsch, Jan-Henrik
#35B07 #35B65 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Primary: 49Q10 #Secondary: 35A15

paper · doi:10.48550/arxiv.2303.15775

Abstract

We establish the existence and smoothness of minimizers of the Willmore energy among axially symmetric surfaces of spherical type with prescribed isoperimetric ratio. Afterwards, we study the behavior of these minimizers as the isoperimetric ratio tends to zero.

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