Variational Methods in Nonlinear Analysis : : With Applications in Optimization and Partial Differential Equations / / Dimitrios C. Kravvaritis, Athanasios N. Yannacopoulos.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• VerfasserIn: Kravvaritis, Dimitrios C.,; Yannacopoulos, Athanasios N.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (XXV, 474 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110647389; 9783110696288; 9783110696271; 9783110659061; 9783110616859; 9783110704716; 9783110704518; 9783110704846; 9783110704662
• DOI: 10.1515/9783110647389
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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 theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.