Mixed Dirichlet–Steklov Problem for the Biharmonic Equation in Weighted Spaces


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We address the uniqueness of weak solutions of the mixed Dirichlet–Steklov problem for the biharmonic equation in the exterior of a compact set in the class of functions having a finite Dirichlet integral with the weight |x|a. Depending on the parameter a, we establish some uniqueness theorems and obtain precise formulas for the dimension of the space of solutions.

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O. Matevossian

Moscow Aviation Institute (National Research University); Steklov Mathematical Institute of Russian Academy of Sciences

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Email: hmatevossian@graduate.org
俄罗斯联邦, Moscow; Moscow

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