Topological and variational methods with applications to nonlinear boundary value problems [electronic resource] / Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou.
2014
QA379
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Title
Topological and variational methods with applications to nonlinear boundary value problems [electronic resource] / Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou.
Author
Motreanu, D., author.
ISBN
9781461493235 electronic book
1461493234 electronic book
9781461493228
1461493234 electronic book
9781461493228
Published
New York, NY : Springer, 2014.
Language
English
Description
1 online resource (xi, 459 pages)
Item Number
10.1007/978-1-4614-9323-5 doi
Call Number
QA379
Dewey Decimal Classification
515/.355
Summary
This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operator appears for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from PDF title page (SpringerLink, viewed November 18, 2013).
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Table of Contents
Sobolev Spaces
Nonlinear Operators
Nonsmooth Analysis
Degree Theory
Variational Principles and Critical Point Theory
Morse Theory
Bifurcation Theory
Regularity Theorems and Maximum Principles
Spectrum of Differential Operators
Ordinary Differential Equations
Nonlinear Elliptic Equations with Dirichlet Boundary Conditions
Nonlinear Elliptic Equations with Neumann Boundary Conditions.
Nonlinear Operators
Nonsmooth Analysis
Degree Theory
Variational Principles and Critical Point Theory
Morse Theory
Bifurcation Theory
Regularity Theorems and Maximum Principles
Spectrum of Differential Operators
Ordinary Differential Equations
Nonlinear Elliptic Equations with Dirichlet Boundary Conditions
Nonlinear Elliptic Equations with Neumann Boundary Conditions.