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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Mikhail Borsuk |

ISBN: | 9783034604765 3034604769 3034604777 9783034604772 |

OCLC Number: | 495781270 |

Description: | ix, 218 pages : illustrations ; 24 cm. |

Contents: | Preface.- Introduction.- 1 Preliminaries.- 2 Eigenvalue problem and integro-differential inequalities.- 3 Best possible estimates of solutions to the transmission problem for linear elliptic divergence second order equations in a conical domain.- 4 Transmission problem for the Laplace operator with N different media.- 5 Transmission problem for weak quasi-linear elliptic equations in a conical domain.- 6 Transmission problem for strong quasi-linear elliptic equations in a conical domain.- 7 Best possible estimates of solutions to the transmission problem for a quasi-linear elliptic divergence second order equation in a domain with a boundary edge.- Bibliography.- Index.- Notation Index. |

Series Title: | Frontiers in mathematics. |

Responsibility: | Mikhail Borsuk. |

### Abstract:

This book investigates the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges, considering this problem both for linear and quasi-linear equations.
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