Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Minimum energy solution for the spherical shell

Author: R. W. Dickey
Journal: Quart. Appl. Math. 48 (1990), 321-339
MSC: Primary 73K15; Secondary 73H05
DOI: https://doi.org/10.1090/qam/1052139
MathSciNet review: MR1052139
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A Galerkin procedure is used to prove the existence of a minimum energy solution for the problem of the spherical shell under constant normal pressure. It is shown that if the pressure is sufficiently small the trivial solution is the minimum energy solution and if the pressure is sufficiently large a nontrivial solution furnishes the minimum energy solution. Bounds are obtained on these critical pressures.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73K15, 73H05

Retrieve articles in all journals with MSC: 73K15, 73H05

Additional Information

DOI: https://doi.org/10.1090/qam/1052139
Article copyright: © Copyright 1990 American Mathematical Society

American Mathematical Society