On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer

The Dirichlet problem for a fourth-order elliptic equation with constant coefficients without first derivatives is considered in the region (layer)
$$ \Pi = \left\{ (x',x_n ) \in R^n | x' \in R^{n - 1}, x_n \in (a,b) \right\},\quad - \infty < a < b < + \infty, \quad n \geqslant 3. $$
The first term of the asymptotics of the solution at infinity is obtained.