Topological and Variational Methods With Applications to Nonlinear Boundary Value Problems - Rilegato

Motreanu, Dumitru; Motreanu, Viorica Venera; Papageorgiou, Nikolaos

 
9781461493228: Topological and Variational Methods With Applications to Nonlinear Boundary Value Problems
Rilegato
ISBN 10: 1461493226 ISBN 13: 9781461493228
Casa editrice: Springer Nature, 2013

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Nature
Data di pubblicazione
2013
Lingua
Inglese
ISBN 10 
1461493226
ISBN 13 
9781461493228
Rilegatura
Copertina rigida
Numero di pagine
459
Contatto del produttore
Elevation
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Altre edizioni note dello stesso titolo

9781493944743: Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Edizione in evidenza

ISBN 10:  1493944746 ISBN 13:  9781493944743
Casa editrice: Springer, 2016
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