Variational Methods in Nonlinear Analysis - Optimization and Partial Differential Equations Applications

The second edition covers the fundamentals of nonlinear analysis, variational methods and their applications. Also it covers 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. The new edition includes new topics on nonlinear operators, evolution and multivalued problems.

About the author

Dimitrios C. Kravvaritis
, National Tech. Univ. Athens;
Athanasios N. Yannacopoulos
, Athens Univ. Econ. Business, Greece.

Summary

The second edition covers the fundamentals of nonlinear analysis, variational methods and their applications. Also it covers 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. The new edition includes new topics on nonlinear operators, evolution and multivalued problems.

Product details

• Authors: Dimitrios C Kravvaritis, Dimitrios C. Kravvaritis, Athanasios Yannacopoulos, Athanasios N. Yannacopoulos
• Publisher: De Gruyter
• Languages: English, German
• Product format: Paperback / Softback
• Released: 20.10.2025
• EAN: 9783111333250
• ISBN: 978-3-11-133325-0
• No. of pages: 622
• Weight: 500 g
• Series: De Gruyter Textbook
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Variationsrechnung, Differentialrechnung und -gleichungen, Nichtlineare Wissenschaft, Calculus of variations, MAT007000 MATHEMATICS / Differential Equations / General, Fixed point theorem, Fixpunktsatz, Variationsungleichung, monotonic operator, Monotoner Operator, Nonlinear Functional Analysis, Nichtlineare Funktionalanalysis, variational inequality