16 citations · 16 across the 3 of their papers we have counts for
4 papers
Isoperimetric structure of asymptotically conical manifolds
Otis Chodosh, Michael Eichmair, Alexander Volkmann
We study the isoperimetric structure of Riemannian manifolds that are asymptotic to cones with non-negative Ricci curvature. Specifically, we generalize to this setting the seminal…
On the regularity of stationary points of a nonlocal isoperimetric problem
Dorian Goldman, Alexander Volkmann
In this article we establish -regularity of the reduced boundary of stationary points of a nonlocal isoperimetric problem in a domain . In particula…
A monotonicity formula for free boundary surfaces with respect to the unit ball
Alexander Volkmann
We prove a monotonicity identity for compact surfaces with free boundaries inside the boundary of unit ball in that have square integrable mean curvature. As one cons…
An Allard type regularity theorem for varifolds with Hölder continuous generalized normal
Theodora Bourni, Alexander Volkmann
We prove that Allard's regularity theorem holds for rectifiable -dimensional varifolds assuming a weaker condition on the first variation. This, in the special case when …