Vol. 88, No. 2, 1980

Recent Issues
Vol. 308: 1
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
On the existence of capillary free surfaces in the absence of gravity

Jin-Tzu Chen

Vol. 88 (1980), No. 2, 323–361
Abstract

If we were to put water into a glass cylindrical container of circular cross section and transport it to outer space, the surface of the water would be uniquely determined as a lower hemisphere. Concus and Finn [1] have shown that if the circular cross section is replaced by a square section then no such surface can exist as a graph of a function. The question then arises, for what kind of cross section can we expect the existence of a surface in the form of a graph?

Mathematical Subject Classification 2000
Primary: 49F10, 49F10
Secondary: 53A10
Milestones
Received: 26 September 1979
Published: 1 June 1980
Authors
Jin-Tzu Chen
Department of Mathematics
National Taiwan University
Taipei
Taiwan