On solutions of mixed boundary-value problems for the elasticity system in unbounded domains

H. Matevossian

Izvestiya. Mathematics , Tome 67 (2003) no. 5, pp. 895-929.

Résumé

We study the properties of generalized solutions of mixed boundary-value problems for the linear system of elasticity theory in the exterior of a compact set and in a half-space under the assumption that the energy integral with weight $|x|^a$ is finite for such solutions. Depending on the value of the parameter $a$, a uniqueness criterion is established for these solutions, and exact formulae are obtained for the dimension of the space of solutions.

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