On the Biharmonic Problem with the Steklov-Type and Farwig Boundary Conditions
Hovik A. Matevossian · Lobachevskii Journal of Mathematics · 2020
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.