11 citations · 14 across the 13 of their papers we have counts for
17 papers · 1 filter
Delaunay surfaces with free boundary on the unit -sphere
Eric Lang, Christian Scharrer
We characterize all symmetric, embedded surfaces of revolution with constant mean curvature that meet the unit sphere orthogonally. It is well known that there exists a unique free…
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…
Global regularity of integral 2-varifolds with square integrable mean curvature
Fabian Rupp, Christian Scharrer
We provide sharp sufficient criteria for an integral -varifold to be induced by a -conformal immersion of a smooth surface. Our approach is based on a fine analysis of…
On the minimization of the Willmore energy under a constraint on total mean curvature and area
Christian Scharrer, Alexander West
Motivated by a model for lipid bilayer cell membranes, we study the minimization of the Willmore functional in the class of oriented closed surfaces with prescribed total mean curv…
Properties of surfaces with spontaneous curvature
Christian Scharrer
A model describing cell membranes as optimal shapes with regard to the -deficit of their mean curvature to a given constant called spontaneous curvature is considered. It is s…