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Semilinear Elliptic Equations for Beginners : Existence Results via the Variational Approach / by Marino Badiale, Enrico Serra
(Universitext. ISSN:21916675)
版 | 1st ed. 2011. |
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出版者 | (London : Springer London : Imprint: Springer) |
出版年 | 2011 |
大きさ | X, 199 p : online resource |
著者標目 | *Badiale, Marino author Serra, Enrico author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Differential equations LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Analysis FREE:Differential Equations FREE:Calculus of Variations and Optimization |
一般注記 | Introduction and basic results -- Minimization techniques: compact problems -- Minimization techniques: lack of compactness -- Introduction to minimax methods -- Index of the main assumptions Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced spectacular success in recent years, reaching a high level of complexity and refinement, with a multitude of applications. Additionally, some of the simplest variational methods are evolving as classical tools in the field of nonlinear differential equations. This book is an introduction to variational methods and their applications to semilinear elliptic problems. Providing a comprehensive overview on the subject, this book will support both student and teacher engaged in a first course in nonlinear elliptic equations. The material is introduced gradually, and in some cases redundancy is added to stress the fundamental steps in theory-building. Topics include differential calculus for functionals, linear theory, and existence theorems by minimization techniques and min-max procedures. Requiring a basic knowledge of Analysis, Functional Analysis and the most common function spaces, such as Lebesgue and Sobolev spaces, this book will be of primary use to graduate students based in the field of nonlinear partial differential equations. It will also serve as valuable reading for final year undergraduates seeking to learn about basic working tools from variational methods and the management of certain types of nonlinear problems HTTP:URL=https://doi.org/10.1007/978-0-85729-227-8 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9780857292278 |
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EB00204198 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000115434 |
ISBN | 9780857292278 |
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※2017年9月4日以降