| 书目名称 | Methods in Nonlinear Analysis | | 编辑 | Kung-Ching Chang | | 视频video | | | 概述 | Collects and reorganizes up-to-date materials scattered throughout the literature, and presents them in a systematic way.Includes basic material as well as modern developments.Chapters cover lineariza | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered throughout the literature from the methodology point of view, and presents them in a systematic way. It contains the basic theories and methods with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies.. .There are five chapters that cover linearization, fixed-point theorems based on compactness and convexity, topological degree theory, minimization and topological variational methods. Each chapter combines abstract, classical and applied analysis. Particular topics included are bifurcation, perturbation, gluing technique, transversality, Nash–Moser technique, Ky Fan‘s inequality and equilibrium in game theory, setvalued mappings and differential equations with discontinuous nonlinear terms, multiple solutions in partial differential equations, dir | | 出版日期 | Book 2005 | | 关键词 | Convexity; Hardy space; Morse Theory; Nonlinear Partial Differential Equations; Nonlinear analysis; Nonli | | 版次 | 1 | | doi | https://doi.org/10.1007/3-540-29232-2 | | isbn_softcover | 978-3-642-06327-5 | | isbn_ebook | 978-3-540-29232-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag GmbH Germany 2005 |
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发表于 2025-3-21 16:21:11
