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Field name	Details
Dewey Class	515.353
Title	Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems ([Ebook]) / by Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou.
Author	Motreanu, Dumitru
Added Personal Name	Motreanu, Viorica Venera
Added Personal Name	Papageorgiou, Nikolaos
Other name(s)	SpringerLink (Online service)
Publication	New York, NY Springer 2014.
Physical Details	XI, 459 pages : online resource.
ISBN	9781461493235
Summary Note	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.:
Contents note	Preface -- Introduction -- 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 -- List of Symbols -- References.- Index .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4614-9323-5
Links to Related Works	Subject References: Calculus of variations and optimal control; optimization . Differential equation . Differential equations, Partial . Global analysis . Global Analysis and Analysis on Manifolds . Mathematical optimization . Operator Theory . Ordinary differential equations . Partial differential equations . Authors: author . Motreanu, Dumitru . Motreanu, Viorica Venera . Papageorgiou, Nikolaos . Corporate Authors: SpringerLink (Online service) . Classification: 515.353 . 515.353 (DDC 23) .

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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

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