Variational Methods in Nonlinear Analysis
With Applications in Optimization and Partial Differential Equations
1st Edition
Published on 6. April 2020
XXV, 474 pages
978-3-11-064738-9 (ISBN)
Description
This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.
Reviews / Votes
"The book is clearly and intelligibly written and it can be recommended to graduate students, lecturers,researchers and all who are interested in theoretical and applied aspects of nonlinear analysis." Valerii V. Obukhovskij in: zbMATH, 03.11.2020
More details
Other editions
Additional editions
Dimitrios C. Kravvaritis | Athanasios N. Yannacopoulos
Variational Methods in Nonlinear Analysis
With Applications in Optimization and Partial Differential Equations
E-Book
04/2020
1st Edition
De Gruyter
€104.95
Available for download
Dimitrios C. Kravvaritis | Athanasios N. Yannacopoulos
Variational Methods in Nonlinear Analysis
With Applications in Optimization and Partial Differential Equations
Book
04/2020
1st Edition
De Gruyter
€99.95
Shipment within 7-9 days
Persons
Dimitrios C. Kravvaritis
, National Tech. Univ. Athens, Greece;
Athanasios N. Yannacopoulos
, Athens Univ. Econ. Business, Greece.
Content
- Intro
- Preface
- Contents
- Notation
- 1 Preliminaries
- 2 Differentiability, convexity and optimization in Banach spaces
- 3 Fixed-point theorems and their applications
- 4 Nonsmooth analysis: the subdifferential
- 5 Minimax theorems and duality
- 6 The calculus of variations
- 7 Variational inequalities
- 8 Critical point theory
- 9 Monotone-type operators
- Bibliography
- Index
