4 papers
Bubble classification of immersions at the boundary of the moduli space with Willmore energy
Christian Scharrer, Manuel Schlierf, Alexander West
We study the asymptotic bubbling behavior of sequences of weak genus- immersions with diverging conformal classes and limiting Willmore energy of . After applying suitable M…
Energy quantization for constrained Willmore surfaces
Christian Scharrer, Alexander West
We establish an energy quantization for constrained Willmore surfaces, where the constraints are given by area, volume, and total mean curvature, assuming that the underlying confo…
A strict inequality for the minimisation of the Willmore functional under isoperimetric constraint
Andrea Mondino, Christian Scharrer
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 isoperime…
Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy
Andrea Mondino, Christian Scharrer
We prove existence and regularity of minimisers for the Canham-Helfrich energy in the class of weak (possibly branched and bubbled) immersions of the -sphere. This solves (the s…