Discontinuous Riemann–Hilbert problems for quasilinear degenerate elliptic complex equations of first order§

Abstract

In this article we discuss discontinuous Riemann–Hilbert problems for quasilinear degenerate elliptic systems of first order equations in a bounded simply connected domain. Firstly the representation of solutions of the boundary value problems for the equations is given, and then the existence and uniqueness of solutions for the problems are proved.