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Nonlinear analysis - theory and methods

Papageorgiou, Nikolaos S.

Nonlinear analysis - theory and methods

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nonlinear analysis - theory and methodsby Nikolaos S. Papageorgiou, Vicentiu D. Radulescu, Dusan D. Repovs.
作者:	Papageorgiou, Nikolaos S.
其他作者:	Radulescu, Vicentiu D.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xi, 577 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Nonlinear theories.
電子資源:	https://doi.org/10.1007/978-3-030-03430-6
ISBN:	9783030034306$q(electronic bk.)

Nonlinear analysis - theory and methods
Papageorgiou, Nikolaos S.

Nonlinear analysis - theory and methods[electronic resource] /by Nikolaos S. Papageorgiou, Vicentiu D. Radulescu, Dusan D. Repovs. - Cham :Springer International Publishing :2019. - xi, 577 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

182014
Nonlinear theories.

LC Class. No.: QA427

Dewey Class. No.: 515

Nonlinear analysis - theory and methods
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520 $a 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.
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