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Sinopsis
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 OPERATORS APPEAR 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.
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Críticas
From the book reviews:
“This volume is devoted to the qualitative analysis of some basic classes of nonlinear boundary value problems by means of modern variational and topological methods. ... This material appears here for the first time in book form. The presentation is very clear and an extensive bibliography (397 titles) and a rich index highlight the text. This work will serve as a reference for researchers working in pure and applied nonlinear analysis.” (Vicenţiu D. Rădulescu, zbMATH, 2014)Reseña del editor
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 operators appear 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.
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- EditorialSpringer
- Año de publicación2013
- ISBN 10 1461493226
- ISBN 13 9781461493228
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas472
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Topological And Variational Methods With Applications To Nonlinear Boundary Value Problems
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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
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Springer New York Nov 2013, 2013
ISBN 10: 1461493226
ISBN 13: 9781461493228
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 operators appear 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. 472 pp. Englisch. Nº de ref. del artículo: 9781461493228
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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Parallel treatment of smooth and nonsmooth problems Contains proofs for many of the results stated hereinPresents recent research in the field for the first time in book formThis book focuses on nonlinear boundary value problems . Nº de ref. del artículo: 4199958
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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
Publicado por
Springer New York, Springer US, 2013
ISBN 10: 1461493226
ISBN 13: 9781461493228
Nuevo
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 operators appear 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. Nº de ref. del artículo: 9781461493228
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