Uniqueness in the boundary-value problems for the static equilibrium equations of a mixture of two elastic solids occupying an unbounded domain

In this paper the Authors study the uniqueness of the solutions to the most important boundary-value problems for the static equilibrium equations of a mixture of two linear elastic solids. Some uniqueness theorems concerning the mixed boundary-value problem and the displacement problem are proved for unbounded domains. If the mixture is anisotropic, mild assumptions are imposed on the displacement fields at infinity. If the mixture is isotropic, uniqueness is proved for exterior domains without artificial restrictions upon the behavior of the unknown fields at infinity.