## Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential EquationsThe series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Honorary and Advisory Editors Editorial Board Please submit book proposals to Jürgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) |

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### Contents

4 | 4 |

Introduction 1 | 4 |

3 Some equivalent characterizations of F and BS | 49 |

Regular elliptic boundary value problems | 99 |

Pointwise multiplication | 142 |

Nemytskij operators in spaces of BesovTriebelLizorkin type | 260 |

F and | 290 |

P 9 | 377 |

Applications to semilinear elliptic boundary problems | 393 |

525 | |

545 | |

### Other editions - View all

Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear ... Thomas Runst,Winfried Sickel No preview available - 1996 |