An Introduction to Nonlinear Functional Analysis and Elliptic Problems

• Κύριοι συγγραφείς: Ambrosetti, Antonio (Συγγραφέας), Arcoya, David (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2011.
• Σειρά: Progress in Nonlinear Differential Equations and Their Applications ; 82
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Functional analysis.; Partial differential equations.; Functional Analysis.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining the advantages and disadvantages of each method, this comprehensive text displays how various approaches can easily be ...

Πίνακας περιεχομένων:

• Notation
• Preliminaries
• Some Fixed Point Theorems
• Local and Global Inversion Theorems
• Leray-Schauder Topological Degree
• An Outline of Critical Points
• Bifurcation Theory
• Elliptic Problems and Functional Analysis
• Problems with A Priori Bounds
• Asymptotically Linear Problems
• Asymmetric Nonlinearities
• Superlinear Problems
• Quasilinear Problems
• Stationary States of Evolution Equations
• Appendix A Sobolev Spaces
• Exercises
• Index
• Bibliography.