| 书目名称 | Multi-Valued Variational Inequalities and Inclusions |
| 编辑 | Siegfried Carl,Vy Khoi Le |
| 视频video | |
| 概述 | Develops a general sub-supersolution method for stationary and evolutionary multi-valued variational inequalities.Provides a self-contained exposition of existence, comparison and enclosure principles |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces..A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool forstudying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and |
| 出版日期 | Book 2021 |
| 关键词 | Elliptic Variational inequality; Evolutionary variational inequality; Multi-valued semicontinuous lowe |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-65165-7 |
| isbn_softcover | 978-3-030-65167-1 |
| isbn_ebook | 978-3-030-65165-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:53:26
