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Nonlinear Analysis - Theory and Methods

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlinear Analysis - Theory and Methods/ by Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš.
作者:	Papageorgiou, Nikolaos S.
其他作者:	Rădulescu, Vicenţiu D.
面頁冊數:	XI, 577 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Applications in the Physical Sciences. -
電子資源:	https://doi.org/10.1007/978-3-030-03430-6
ISBN:	9783030034306

Nonlinear Analysis - Theory and Methods
Papageorgiou, Nikolaos S.

Nonlinear Analysis - Theory and Methods[electronic resource] /by Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš. - 1st ed. 2019. - XI, 577 p.online resource. - Springer Monographs in Mathematics,1439-7382. - Springer Monographs in Mathematics,.

Preface -- 1.Sobolev Spaces -- 2.Compact Operators and Operators of Monotone Type -- 3.Degree Theories -- 4.Partial Order, Fixed Point Theory, Variational Pronciples -- 5.Critical Point Theory -- 6.Morse Theory and Critical Groups -- References -- Index.

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.

ISBN: 9783030034306

Standard No.: 10.1007/978-3-030-03430-6doiSubjects--Topical Terms:

786649
Mathematical Applications in the Physical Sciences.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Nonlinear Analysis - Theory and Methods
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