On a statement of the boundary value problem for a generalized Cauchy–Riemann equation with nonisolated singularities in a lower-order coefficient

The paper studies how the statement of boundary value problems for a generalized Cauchy–Riemann equation is affected by nonisolated singularities in a lower-order coefficient of the equation assuming that these singularities are pairwise disjoint and do not pass through the origin. It turns out that posing only a condition on the boundary of the domain is insufficient in such problems. Therefore, we consider a case combining elements of the Riemann–Hilbert problem on the boundary of the domain and a linear transmission problem on the circles supporting the singularities in the lower-order coefficient inside the domain.