46 citations · 460 across the 44 of their papers we have counts for
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Stability of the Wulff shape with respect to anisotropic curvature functionals
Julian Scheuer, Xuwen Zhang
For a function which foliates a one-sided neighbourhood of a closed hypersurface , we give an estimate of the distance of to a Wulff shape in terms of the -norm o…
Stability of the quermassintegral inequalities in hyperbolic space
Prachi Sahjwani, Julian Scheuer
For the quermassintegral inequalities of horospherically convex hypersurfaces in the -dimensional hyperbolic space, where , we prove a stability estimate relating t…
A fractional Willmore-type energy functional -- subcritical observations
Simon Blatt, Giovanni Giacomin, Julian Scheuer +1
We investigate surfaces with bounded L^p-norm of the fractional mean curvature, a quantity we shall refer to as fractional Willmore-type functional. In the subcritical case and und…
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space
Wilhelm Klingenberg, Ben Lambert, Julian Scheuer
Consider a convex cone in three-dimensional Minkowski space which either contains the lightcone or is contained in it. This work considers mean curvature flow of a proper spacelike…