Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

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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
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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.

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

  • [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

American Mathematical Society