Geodesic
Biharmonic Dirichlet--Farwig problem in exterior domains
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1716-1731.

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We study the unique solvability and the asymptotic behavior of solutions of the Dirichlet–Farwig biharmonic problem in the exterior of a compact set under the assumption that generalized solutions of this problem has a bounded Dirichlet integral with weight $|x|^a$. Depending on the value of the parameter $a$, we obtained uniqueness (non-uniqueness) theorems of the problem or present exact formulas for the dimension of the space of solutions of the mixed Dirichlet–Farwig problem.
Keywords: Biharmonic operator, Dirichlet–Farwig problem, wighted Dirichlet integral
Mots-clés : Sobolev spaces. 
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H. A. Matevossian. Biharmonic Dirichlet--Farwig problem in exterior domains. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1716-1731. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a106/

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