On the interaction of boundary singular points in the Dirichlet problem for an elliptic equation with piecewise constant coefficients in a plane domain

For an elliptic equation in divergent form with a discontinuous scalar piecewise constant coefficient in an unbounded domain $\Omega\subset \mathbb{R}^2$ with a piecewise smooth noncompact boundary and smooth discontinuity lines of the coefficient, the $L_p$-interaction of a finite and an infinite singular points of a weak solution to the Dirichlet problem is studied in a class of functions with the first derivatives from $L_p(\Omega)$ in the entire range of the exponent $p\in(1,\infty)$.