11 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AP2024
Gradient flow dynamics for cell membranes in the Canham-Helfrich model
Fabian Rupp, Christian Scharrer, Manuel Schlierf
The energetically most efficient way how a deformed red blood cell regains equilibrium is mathematically described by the gradient flow of the Canham-Helfrich functional, including…
math.DG2024★ 1 cited
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…
math.DG2022★ 11 cited
Li-Yau inequalities for the Helfrich functional and applications
Fabian Rupp, Christian Scharrer
We prove a general Li-Yau inequality for the Helfrich functional where the spontaneous curvature enters with a singular volume type integral. In the physically relevant cases, this…