Axially symmetric Willmore minimizers with prescribed isoperimetric ratio

Jan-Henrik Metsch ()
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Jan-Henrik Metsch: University of Freiburg

Partial Differential Equations and Applications, 2025, vol. 6, issue 1, 1-60

Abstract: 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.

Keywords: Willmore functional; Isoperimetric constraint; Direct method; Singular limit; Primary 49Q10; 35B07; Secondary 35A15; 35B65 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s42985-024-00303-0

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