53 citations · 267 across the 30 of their papers we have counts for
37 papers
Weakly stable solutions of Serrin's problem
Michael Eichmair, Thomas Koerber
We prove that weakly stable solutions of Serrin's problem are compact and therefore round balls.
Tangential limits of stable minimal capillary surfaces
Michael Eichmair, Thomas Koerber
We characterize all compact embedded stable minimal capillary surfaces with capillary angle close to either or that are supported on a complete embedded minimal surface wit…
The Penrose inequality in extrinsic geometry
Michael Eichmair, Thomas Koerber
The Riemannian Penrose inequality is a fundamental result in mathematical relativity. It has been a long-standing conjecture of G. Huisken that an analogous result should hold in t…
The isoperimetric inequality
Simon Brendle, Michael Eichmair
We discuss several classical and recent proofs of the isoperimetric inequality and the Sobolev inequality.
On the Minkowski inequality near the sphere
Otis Chodosh, Michael Eichmair, Thomas Koerber
We construct a sequence of closed, axially symmetric surfaces that converges to the unit sphere in for e…
Schoen's conjecture for limits of isoperimetric surfaces
Michael Eichmair, Thomas Koerber
Let be an -dimensional asymptotically flat Riemannian manifold with nonnegative scalar curvature that admits a noncompact area-minimizing hypersurface . In t…