书目名称 | Variational and Monotonicity Methods in Nonsmooth Analysis | 编辑 | Nicuşor Costea,Alexandru Kristály,Csaba Varga | 视频video | | 概述 | Covers the latest achievements in nonsmooth analysis, with applications in mechanics, engineering and game theory.Presents a set of arguments for investigating (smooth or nonsmooth) elliptic PDEs.Prov | 丛书名称 | Frontiers in Mathematics | 图书封面 |  | 描述 | .This book provides a modern and comprehensive presentation of a wide variety of problems arising in nonlinear analysis, game theory, engineering, mathematical physics and contact mechanics. It includes recent achievements and puts them into the context of the existing literature..The volume is organized in four parts. Part I contains fundamental mathematical results concerning convex and locally Lipschits functions. Together with the Appendices, this foundational part establishes the self-contained character of the text. As the title suggests, in the following sections, both variational and topological methods are developed based on critical and fixed point results for nonsmooth functions. The authors employ these methods to handle the exemplary problems from game theory and engineering that are investigated in Part II, respectively Part III. Part IV is devoted to applications in contact mechanics..The book will be of interest to PhD students and researchers in applied mathematics as well as specialists working in nonsmooth analysis and engineering.. | 出版日期 | Book 2021 | 关键词 | Critical Points; Fixed Points; Game Theory; Mechanical Applications; Monotonicity Arguments; Non-smooth A | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-81671-1 | isbn_softcover | 978-3-030-81670-4 | isbn_ebook | 978-3-030-81671-1Series ISSN 1660-8046 Series E-ISSN 1660-8054 | issn_series | 1660-8046 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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