On Nonlinear Vekua Type Equations

Abstract

Nonlinear Vekua-Bers type differential equations are studied on the base of certain methods of nonlinear analysis. A survey of recent results in the area is presented.

Keywords

• nonlinear Vekua-Bers type equations
• integral representations
• Banach-Cacciopolli fixed point theorem
• Newton-Kantorovich method
• implicit function theorem
• superposition operator