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Boundary-value problems in the theory of analytic functions and their application to hydrodynamics: / Part I：

The boundary-value problems of Riemann and Hilbert / I：

Singular operators in spaces of summable functions. Application to boundary-value problems and to the study of boundary properties of analytic functions / II：

The mixed boundary-value problem with free boundary / III：

Flows of an incompressible fluid with free boundaries / IV：

Generalized solutions of quasilinear systems of equations in the mechanics of continuous media: / Part II：

Quasiconformal mappings and generalized solutions of elliptic systems of equations on the plane / V：

Boundary-value problems / VI：

Boundary-value problems in hydrodynamics and subsonic gas dynamics / VII：

Problems in filtration theory for a fluid with free boundaries / VIII：

Some planar problems with an unknown boundary in elasticity theory / IX：

Boundary-value problems in the theory of analytic functions and their application to hydrodynamics: / Part I：

The boundary-value problems of Riemann and Hilbert / I：

Singular operators in spaces of summable functions. Application to boundary-value problems and to the study of boundary properties of analytic functions / II：

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Preface

Some notation, terminology and basic calculus / 0：

Introduction / 1：

Some maximum principles for elliptic equations / 2：

Symmetry for a non-linear Poisson equation / 3：

Symmetry for the non-linear Poisson equation in RN / 4：

Monotonicity of positive solutions in a bounded set W / 5：

On the Newtonian potential / Appendix A：

Rudimentary facts about harmonic functions and the Poisson equation / Appendix B：

Construction of the primary function of Siegel type / Appendix C：

On the divergence theorem and related matters / Appendix D：

The edge-point lemma / Appendix E：

Notes on sources

References

Index

Preface

Some notation, terminology and basic calculus / 0：

Introduction / 1：

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