## Boundary value problems for elliptic equations and systems |

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### Contents

Some boudary value problems for harmonic functions | 22 |

Some boundary value problems for simple first order | 37 |

Some boundary value problems for simple second order | 54 |

Copyright | |

26 other sections not shown

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### Common terms and phrases

analytic functions arbitrary real constants Banach space boundary condition boundary value problem Chapter complex equation 1.22 complex system conformal mapping corresponding cos(v,n denote Dirichlet problem discuss eigenvalue elliptic complex equation elliptic equations elliptic systems equations of second exists find a solution function u(z harmonic functions Hence homeomorphic solution integral equation inverse function irregular oblique derivative Lemma Leray-Schauder theorem linear measurable functions method multiply connected domain N+1)-connected circular domain nonlinear complex equation oblique derivative problem obtain order complex equation Problem Q proof of Theorem quasiconformal mappings representation Riemann-Hilbert problem satisfies the estimates satisfy Condition satisfy the conditions satisfying the boundary second order complex solution includes solution of Problem solution w(z solvability conditions solvability of Problem sufficiently small t e r Theorem 2.2 tion total number uniform ellipticity condition unique solution vector zz zz zz