Variational Methods in Nonlinear Analysis : : With Applications in Optimization and Partial Differential Equations / / Dimitrios C. Kravvaritis, Athanasios N. Yannacopoulos.
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...
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| Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©2020 |
| Year of Publication: | 2020 |
| Language: | English |
| Series: | De Gruyter Textbook
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| Online Access: | |
| Physical Description: | 1 online resource (XXV, 474 p.) |
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Table of Contents:
- Frontmatter
- 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