How to blow infinitely large soap bubbles with a fixed boundary
Rugang Ye
Department of Mathematics, Stanford University, Stanford, CA 94305, U.S.A.
![How to blow infinitely large soap bubbles with a fixed boundary cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpc-volume-8-issue-1.png&w=3840&q=90)
Abstract
Consider (area minimizing) soap bubbles (i. e. surfaces of constant mean curvature) spanning a Jordan curve in . We show that they converge to infinitely large minimal surfaces spanning as their volumes approach infinity.
Résumé
On considère des bulles de savon (i.e. des surfaces de courbure moyenne constante) à bord d’une courbe Jordan . Nous démontrons qu’ils convergent vers des surfaces minimales infiniment larges à bord si leur volume tend vers l’infini.
Cite this article
Rugang Ye, How to blow infinitely large soap bubbles with a fixed boundary. Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991), no. 1, pp. 59–78
DOI 10.1016/S0294-1449(16)30277-3