Riemann–Hilbert-type problems for Bitsadze equations with strong singularities in low-order coefficients

Abstract

ABSTRACTFor the Bitsadze equation with low-order coefficients admitting a power singularity at a fixed point of the domain, we investigate a boundary-value problem with the Riemann–Hilbert data for the solution itself and for its partial derivatives. We prove the Fredholm solvability of that problem and present its index formula.