Springer Monographs in Mathematics

Nonlinear Analysis - Theory and Methods

Authors: Papageorgiou, Nikolaos S., Rǎdulescu, Vicenţiu D., Repovš, Dušan D.

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  • Introduces the basic methods used in the qualitative mathematical analysis of nonlinear models
  • Reveals a number of surprising interactions between several fields of mathematics, including topology, functional analysis, mathematical physics, and potential theory
  • Can be used as supplementary reading in any course on elliptic PDEs at the graduate level or as a seminar text
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イーブック ¥7,861
¥11,231 (listprice)
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有効期限: July 31, 2020
  • ISBN 978-3-030-03430-6
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ハードカバー ¥9,827
¥14,039 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: July 31, 2020
  • ISBN 978-3-030-03429-0
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
この書籍について

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.


著者について

Nikolaos S. Papageorgiou graduated from the Massachusetts Institute of Technology and received his PhD in Applied Mathematics from Harvard University. He is Professor at the National Technical University of Athens, Greece. He has written more than 800 research papers and ten books.

Vicenţiu  Rǎdulescu received his PhD and Habilitation from the University of Paris 6 under the supervision of Haim Brezis. He is Senior Researcher at the Institute of Mathematics, Physics and Mechanics in Ljubljana, Professor at the AGH University of Science and Technology in Krakow, and Professorial Fellow at the Institute of Mathematics of the Romanian Academy. He has written more than 300 research papers and ten books.

Dušan Repovš received his PhD from Florida State University. He is Professor at the University of Ljubljana and Head of the Nonlinear Analysis, Topology, and Geometry Group at the Institute of Mathematics, Physics and Mechanics in Ljubljana. He is the author of more than 400 research papers and 3 books (Kluwer, CRC Press, European Mathematical Society). He is a member of the European Academy of Arts and Sciences.


レビュー

“This book is a guide to the several important tools which are used to study nonlinear boundary value problems. … This book is a serious and well-written introduction to the subject. … all the important tools for the study of nonlinear PDE are present and explained in sufficient clarity to tackle research-level problems." (Jeff Ibbotson, MAA Reviews, July 28, 2019)

Table of contents (6 chapters)

Table of contents (6 chapters)

書籍の購入

イーブック ¥7,861
¥11,231 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: July 31, 2020
  • ISBN 978-3-030-03430-6
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥9,827
¥14,039 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: July 31, 2020
  • ISBN 978-3-030-03429-0
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
Nonlinear Analysis - Theory and Methods
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-03430-6
DOI
10.1007/978-3-030-03430-6
ハードカバー ISBN
978-3-030-03429-0
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XI, 577
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.