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.

Keywords:

• Discontinuous Riemann–Hilbert problems
• Quasilinear elliptic complex equations
• Parabolic degeneracy
• AMS Classifications: 35J25
• 35J65
• 35J70

Notes

Dedicated to Prof. Dr Heinrich Begehr on the occasion of his 65th birthday.

Additional information

Notes on contributors

Dechang Chen

Dedicated to Prof. Dr Heinrich Begehr on the occasion of his 65th birthday.