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math.AP2026
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.
math.DG2026
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…