Nonlinear Analysis - Theory and Methods

• Main Authors: Papageorgiou, Nikolaos S. (Author, 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)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Monographs in Mathematics,
• Subjects: 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...

Table of Contents:

• 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.