On uniqueness and correct solvability of the biharmonic boundary value problem

2016

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DOI 10.1063/1.4959659
Data confidence 70 medium
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Abstract

In this paper, a generalized third boundary value problem for the biharmonic equation in the unit ball with boundary operators up to third order containing normal derivatives and Laplacian is investigated. The existence and uniqueness theorems are proved. Some particular cases of general problem are considered.