most citedOn the area-preserving Willmore flow of small bubbles sliding on a domain's boundary

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math.DG2023

Axially Symmetric Willmore Minimizers with Prescribed Isoperimetric Ratio

Jan-Henrik Metsch

We establish the existence and smoothness of minimizers of the Willmore energy among axially symmetric surfaces of spherical type with prescribed isoperimetric ratio. Afterwards, w…

math.DG2023

On the Conditional Existence of Foliations by CMC and Willmore Type Half-Spheres

Jan-Henrik Metsch

We study half-spheres with small radii sitting on the boundary of a smooth bounded domain while meeting it orthogonally. Even though it is known that there exist families of CMC an…