Fabian Rupp

most citedGlobal regularity of integral 2-varifolds with square integrable mean curvature

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math.DG2026★ 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 $2$ -varifold to be induced by a $W^{2, 2}$ -conformal immersion of a smooth surface. Our approach is based on a fine analysis of…

math.DG2024

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…