Methods of Nonlinear Analysis Applications to Differential Equations / by Pavel Drabek, Jaroslav Milota.

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizatio...

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Bibliographic Details
Main Authors: Drabek, Pavel (Author), Milota, Jaroslav (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edition:1st ed. 2007.
Series:Birkhäuser Advanced Texts Basler Lehrbücher,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

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505 0 |a Preliminaries -- Properties of Linear and Nonlinear Operators -- Abstract Integral and Differential Calculus -- Local Properties of Differentiable Mappings -- Topological and Monotonicity Methods -- Variational Methods -- Boundary Value Problems for Partial Differential Equations. 
520 |a In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists. 
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