Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

• Κύριοι συγγραφείς: Motreanu, Dumitru (Συγγραφέας), Motreanu, Viorica Venera (Συγγραφέας), Papageorgiou, Nikolaos (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2014.
• Θέματα: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Operator theory.; Differential equations.; Partial differential equations.; Calculus of variations.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Operator Theory.; Ordinary Differential Equations.; Global Analysis and Analysis on Manifolds.

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 pr...

Πίνακας περιεχομένων:

•  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 .