Plateau's problem

A soap bubble in the shape of a catenoid

In mathematics, Plateau's problem is to show the existence of a minimal surface with a given boundary. The problem is considered part of the calculus of variations. The existence and regularity problems are part of geometric measure theory. It is named after Joseph Plateau.

This page is issued from Wikipedia. The text is available under Creative Commons Attribution-Share Alike 4.0 unless otherwise noted. Additional terms may apply for the media files.