4 papers · 1 filter
Fractional Dirichlet problems with an overdetermined nonlocal Neumann condition
Michele Gatti, Julian Scheuer, Tobias Weth
We investigate symmetry and quantitative approximate symmetry for an overdetermined problem related to the fractional torsion equation in a regular open, bounded set $Ω\subseteq \m…
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…