Nonlinear Analysis - Theory and Methods

• Κύριοι συγγραφείς: Papageorgiou, Nikolaos S. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Rădulescu, Vicenţiu D. (http://id.loc.gov/vocabulary/relators/aut), Repovš, Dušan D. (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Partial differential equations.; Mathematical physics.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Calculus of variations.; Partial Differential Equations.; Mathematical Physics.; Functional Analysis.; Global Analysis and Analysis on Manifolds.; Calculus of Variations and Optimal Control; Optimization.; Mathematical Applications in the Physical Sciences.

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary val...

Πίνακας περιεχομένων:

• Preface
• 1.Sobolev Spaces
• 2.Compact Operators and Operators of Monotone Type
• 3.Degree Theories
• 4.Partial Order, Fixed Point Theory, Variational Pronciples
• 5.Critical Point Theory
• 6.Morse Theory and Critical Groups
• References
• Index.