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.
- B. Noble, The numerical solution of nonlinear integral equations and related topics, Nonlinear Integral Equations (Proc. Advanced Seminar Conducted by Math. Research Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1963) Univ. Wisconsin Press, Madison, Wis., 1964, pp. 215–318. MR 0173369
A. M. Arthurs, Proc. Roy. Soc. Ser. A298, 97 (1967)
A. M. Arthurs and P. D. Robinson, Proc. Roy. Soc. Ser. A303, 497 (1968)
A. M. Arthurs and P. D. Robinson, Proc. Roy. Soc. Ser. A303, 503 (1968)
L. S. D. Morley, Q. J. Mech. Appl. Math. 19, 371 (1966)
- S. G. Mikhlin, Variational methods in mathematical physics, The Macmillan Co., New York, 1964. Translated by T. Boddington; editorial introduction by L. I. G. Chambers; A Pergamon Press Book. MR 0172493
B. Noble, Univ. Wisconsin Math. Res. Center Rep. No. 473 (1964)
A. M. Arthurs, Proc. Roy. Soc. Ser. A298, 97 (1967)
A. M. Arthurs and P. D. Robinson, Proc. Roy. Soc. Ser. A303, 497 (1968)
A. M. Arthurs and P. D. Robinson, Proc. Roy. Soc. Ser. A303, 503 (1968)
L. S. D. Morley, Q. J. Mech. Appl. Math. 19, 371 (1966)
S. G. Mikhlin, Variational methods in mathematical physics, Chapter 4, Pergamon Press, London, 1964
Additional Information
Article copyright:
© Copyright 1970
American Mathematical Society
