Preface
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 Degenerate Elliptic Equations
of Second Order
Chapter 3 Nonlinear Elliptic Systems of Equations
3.1 Boundary Value Problems for Uniformly Elliptic Systems of Second
Order Equations
3.2 Boundary Value Problems for Nonlinear Elliptic Systems of Second
Order Equations
3.3 Boundary Value Problems of Nonlinear Elliptic Systems of Several
First Order Complex Equations
3.4 Boundary Value Problems for Nonlinear Elliptic Systems with
Several Unknown Functions
3.5 Degenerate Elliptic Systems of Second Order with Several Unknown
Functions
3.6 Boundary Value Problems for Nonlinear Elliptic Complex Equations
of Fourth Order
Chapter 4 Nonlinear Parabolic Equations and Systems
4.1 Formulation and Inner Estimates of Solutions of Initial-Boundary
Value Problems for Nonlinear Parabolic Equations
4.2 Estimate of Solutions and Solvability of Dirichlet Problem
4.3 Initial-Oblique Derivative Problem for Nonlinear Parabolic
Equations
4.4 Initial-Irregular Oblique Derivative Problem for Nonlinear Parabolic
Equations
4.5 Initial-Boundary Value Problem for Nonlinear Parabolic Systems of
Equations
Chapter 5 Quasilinear Hyperbolic Equations and Systems
5.1 The Riemann-Hilbert Problem for Hyperbolic Complex Equations of
First Order
5.2 Oblique Derivative Problem for Uniformly Hyperbolic Equations of
Second Order
5.3 Oblique Derivative Problem for Quasilinear Degenerate Hyperbolic
Equations of Second Order
5.4 Cauchy Problem for Quasilinear Hyperbolic Equations with
Degenerate Rank 0
5.5 Darboux Type Problem for Degenerate Hyperbolic Systems of
Second Order Equations
Chapter 6 Quasilinear Equations of Mixed Type
6.1 The Riemann-Hilbert Problem for First Order Complex Equations of
Mixed Type with Degenerate Line
6.2 The Tricomi Problem for Second Order Quasilinear Equations of
Mixed Type with Parabolic Degeneracy
6.3 Frankl Type Problem for Second Order Quasilinear Degenerate
Equations of Mixed Type
6.4 Boundary Value Problems for Degenerate Equations of Mixed Type
in Multiply Connected Domains
6.5 Oblique Derivative Problem for Quasilinear Equations of Mixed Type
with Nonsmooth Degenerate Line
6.6 Oblique Derivative Problem for Second Order Quasilinear Systems
of Mixed Type with Parabolic Degeneracy
Chapter 7 Applications of Nonlinear Complex Analysis to Continuum Mechanics
7.1 Free Boundary Problems in Planar Filtration
7.2 Degenerate Elliptic Boundary Value Problem and Axisymmetric
Filtration
7.3 Some Free Boundary Problems in Planar Subsonic Flow
7.4 Free Boundary Problems for Cavity Flows in Gas Dynamics
7.5 Free Boundary Problems in Elastico-Plastic Mechanics
References
