Geodesic
Solutions of exterior boundary-value problems for the~elasticity system in weighted spaces
Sbornik. Mathematics, Tome 192 (2001) no. 12, pp. 1763-1798

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The properties of generalized solutions of the exterior Dirichlet and Neumann boundary-value problems are studied for the stationary linear system of elasticity theory in unbounded domains under the assumption that generalized solutions of these problems have finite energy integrals with weight $|x|^a$. Depending on the value of the parameter $a$ uniqueness results are established and explicit formulae for the dimension of the space of solutions of the exterior boundary-value problems are obtained. 
@article{SM_2001_192_12_a1,
     author = {H. Matevossian},
     title = {Solutions of exterior boundary-value problems for the~elasticity system in weighted spaces},
     journal = {Sbornik. Mathematics},
     pages = {1763--1798},
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     volume = {192},
     number = {12},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2001_192_12_a1/}
}
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H. Matevossian. Solutions of exterior boundary-value problems for the~elasticity system in weighted spaces. Sbornik. Mathematics, Tome 192 (2001) no. 12, pp. 1763-1798. http://geodesic.mathdoc.fr/item/SM_2001_192_12_a1/