Capillary surfaces arising in singular perturbation problems

Abstract

In this paper we prove Bernstein type theorems for a class of stationary points of the Alt-Caffarelli functional in ${\mathbb{R}}^2$ and ${\mathbb{R}}^3$.

References in corpus (3)

• An Overdetermined Problem in Potential Theory
• A note on some overdetermined elliptic problem
• Higher critical points in a free boundary problem