Overview
- Equips readers with current methods and techniques in nonlinear analysis
- Shares tips and insights into emerging research areas
- Contains contributions from mathematicians across the world
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 135)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader’s understanding of theories, methods, and techniques utilized to solve significant problems.
Topics include:
- Sobolev Spaces
- Maximal monotone operators
- A theorem of Brezis-Nirenberg
- Operator-norm convergence of the Trotter product formula
- Elliptic operators with infinitely many variables
- Pseudo-and quasiconvexities for nonsmooth function
- Anisotropic surface measures
- Eulerian and Lagrangian variables
- Multiple periodic solutions of Lagrangian systems
- Porous medium equation
- Nondiscrete Lassonde-Revalski principle
Similar content being viewed by others
Keywords
- Nonlinear Mathematics
- Open problems
- Nonlinear Analysis.
- Haim Brezis
- Louis Nirenberg
- Anisotropic surface measures
- sum of two maximal monotone operators
- non steady two-dimensional setting
- equivalence of Eulerian and Lagrangian variables
- pseudo-and quasiconvexities
- Lagrangian systems
- Porous medium equation with nonlocal pressure
- Nondiscrete Lassonde-Revalski principle
- partial differential equations
Table of contents (13 chapters)
-
Front Matter
Editors and Affiliations
Bibliographic Information
Book Title: Current Research in Nonlinear Analysis
Book Subtitle: In Honor of Haim Brezis and Louis Nirenberg
Editors: Themistocles M. Rassias
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-319-89800-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-89799-8Published: 29 June 2018
Softcover ISBN: 978-3-030-07861-4Published: 19 January 2019
eBook ISBN: 978-3-319-89800-1Published: 18 June 2018
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: X, 360
Number of Illustrations: 4 b/w illustrations, 13 illustrations in colour
Topics: Calculus of Variations and Optimal Control; Optimization, Numerical Analysis, Functions of a Complex Variable, Real Functions, Partial Differential Equations