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The book is a continuation of development of “Boundary value problems for nonlinear elliptic equations and systems” and “Linear and quasilinear equations of hyperbolic and mixed types”. A large portion of the work is devoted to boundary value problems for general elliptic complex equations of first and second order, initial-boundary value problems for nonlinear parabolic complex equations of first and second order. Moreover, some results about first and second order complex equations of mixed (elliptic-hyperbolic) type are investigated. Applications of nonlinear complex analysis to continuum mechanics are also introduced.

Chapter 1 Nonlinear Elliptic Complex Equations of First Order
1.1 Discontinuous Riemann-Hilbert Problem for Nonlinear Uniformly Elliptic Complex Equations of First Order
1.2 Boundary Value Problems for Elliptic Complex Equations with Nonsmooth Boundary
1.3 Nonlinear Riemann-Hilbert Problem for Elliptic Complex Equations in Multiply Connected Domains
1.4 The Riemann-Hilbert Problem for Quasilinear Degenerate Elliptic Complex Equations of First Order
1.5 Discontinuous Riemann-Hilbert Problem for Quasilinear Degenerate Elliptic Complex Equations of First Order
Chapter 2 Nonlinear Elliptic Equations of Second Order
2.1 Discontinuous Oblique Derivative Problem for Uniformly Elliptic Complex Equations of Second Order
2.2 Poincare Boundary Value Problem for Nonlinear Elliptic Equations of Second Order
2.3 General Oblique Derivative Problem for Nonlinear Elliptic Equations of Second Order
2.4 Discontinuous Irregular Oblique Derivative Problem of Nonlinear Elliptic Equations of Second Order
2.5 Boundary Value Problems for Nonlinear
Chapter 3 Nonlinear Elliptic Systems of Equations
Chapter 4 Nonlinear Parabolic Equations and Systems
Chapter 5 Quasilinear Hyperbolic Equations and Systems
Chapter 6 Quasilinear Equations of Mixed Type
Chapter 7 Applications of Nonlinear Complex Analysis to Continuum Mechanics

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