Free boundary minimal surfaces and overdetermined boundary value problems
classification
🧮 math.DG
math.AP
keywords
boundaryfreeminimalballsurfacesarisingcatenoidcones
read the original abstract
In this paper we establish a connection between free boundary minimal surfaces in a ball in $\mathbb{R}^3$ and free boundary cones arising in a one-phase problem. We prove that a doubly connected minimal surface with free boundary in a ball is a catenoid.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.