Abstract
We study the unique solvability of the mixed biharmonic problem with the Steklov-type and Farwig conditions on the boundary 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 this problem or present exact formulas for the dimension of the space of solutions.
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Matevossian, H.A. On the Biharmonic Problem with the Steklov-Type and Farwig Boundary Conditions. Lobachevskii J Math 41, 2053–2059 (2020). https://doi.org/10.1134/S1995080220100133
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DOI: https://doi.org/10.1134/S1995080220100133