Every stationary polyhedral set in Rⁿ is area minimizing under diffeomorphisms

Jaigyoung Choe

Vol. 175 (1996), No. 2, 439–446

DOI: 10.2140/pjm.1996.175.439

Abstract

It is shown that every stationary polyhedral set in the Euclidean space is area minimizing under diffeomorphisms leaving the boundary fixed. Similar theorems are also proved for crystals and immiscible fluids.

Mathematical Subject Classification 2000

Primary: 49Q05

Secondary: 58E12

Milestones

Received: 7 December 1993

Published: 1 October 1996