On the Steklov-Type Biharmonic Problem in Unbounded Domains
Hovik A. Matevossian · Russian Journal of Mathematical Physics · 2018
We study the unique solvability of the Steklov–type biharmonic problem in unbounded domains under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight |x| a . Depending on the value of the parameter a, we prove uniqueness theorems or present exact formulas for the dimension of the solution space of the Steklov–type biharmonic problem in the exterior of a compact set and in a half-space.