Geodesic
On solutions of mixed boundary-value problems for the elasticity system in unbounded domains
Izvestiya. Mathematics , Tome 67 (2003) no. 5, pp. 895-929

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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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     author = {H. Matevossian},
     title = {On solutions of mixed boundary-value problems for the elasticity system in unbounded domains},
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     number = {5},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_5_a2/}
}
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H. Matevossian. On solutions of mixed boundary-value problems for the elasticity system in unbounded domains. Izvestiya. Mathematics , Tome 67 (2003) no. 5, pp. 895-929. http://geodesic.mathdoc.fr/item/IM2_2003_67_5_a2/