References
Bramble, J. H., & L. E. Payne: An analogue of the spherical harmonics for the equations of elasticity. J. Math. Physics 15, 163–171 (1961).
Boggio, T.: Nuova risoluzione di un problema fondamentale della teoria dell'elasticità. Atti Accad. Lincei 16, 248–255 (1907).
Ericksen, J. L.: On the Dirichlet problem for linear differential equations. Proc. Amer. Math. Soc. 8, 520–522 (1957).
Ericksen, J. L., & R. A. Toupin: Implications of Hadamard's conditions for elastic stability with respect to uniqueness theorems. Can. J. Math. 8, 432–436 (1956).
Gurtin, M. E., & E. Sternberg: On the first boundary value problem of linear elastostatics. Arch. Rational Mech. Anal. 6, 177–187 (1960).
Gurtin, M. E., & E. Sternberg: Theorems in linear elastostatics for exterior domains. Arch. Rational Mech. Anal. 8, 99–119 (1961).
Gurtin, M. E., & E. Sternberg: A note on uniqueness in classical elastodynamics. Quart. Appl. Math. 19, 169–171 (1961).
Hill, R.: Bifurcation and uniqueness in non-linear mechanics of continua. Problems in Continuum Mechanics, Soc. Ind. Appl. Math. 1961, pp. 155–164.
Hill, R.: Uniqueness in general boundary-value problems for elastic or inelastic solids. J. Mech. Phys. Solids 9, 114–130 (1961).
Weatherburn, C. E.: Differential Geometry in Three Dimensions, vol. II. Cambridge: Cambridge University Press 1930.
Author information
Authors and Affiliations
Additional information
Communicated by R. A. Toupin
Rights and permissions
About this article
Cite this article
Bramble, J.H., Payne, L.E. Some uniqueness theorems in the theory of elasticity. Arch. Rational Mech. Anal. 9, 319–328 (1962). https://doi.org/10.1007/BF00253354
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00253354