Canonical approach to biharmonic variational problems
Author:
A. M. Arthurs
Journal:
Quart. Appl. Math. 28 (1970), 135-138
DOI:
https://doi.org/10.1090/qam/99801
MathSciNet review:
QAM99801
Full-text PDF Free Access
Abstract | References | Additional Information
Abstract: A canonical approach to biharmonic variational problems is presented. It provides a new form of the principle of stationary energy and a new derivation of the principle of minimum potential energy.
- [1] B. Noble, Univ. Wisconsin Math. Res. Center Rep. No. 473 (1964) MR 0173369
- [2] A. M. Arthurs, Proc. Roy. Soc. Ser. A298, 97 (1967)
- [3] A. M. Arthurs and P. D. Robinson, Proc. Roy. Soc. Ser. A303, 497 (1968)
- [4] A. M. Arthurs and P. D. Robinson, Proc. Roy. Soc. Ser. A303, 503 (1968)
- [5] L. S. D. Morley, Q. J. Mech. Appl. Math. 19, 371 (1966)
- [6] S. G. Mikhlin, Variational methods in mathematical physics, Chapter 4, Pergamon Press, London, 1964 MR 0172493
Additional Information
DOI:
https://doi.org/10.1090/qam/99801
Article copyright:
© Copyright 1970
American Mathematical Society