Current Research in Nonlinear Analysis

In Honor of Haim Brezis and Louis Nirenberg

  • Themistocles M. Rassias

Part of the Springer Optimization and Its Applications book series (SOIA, volume 135)

Table of contents

  1. Front Matter
    Pages i-x
  2. Luigi Ambrosio, Giovanni E. Comi
    Pages 1-32
  3. Stefano Bianchini, Paolo Bonicatto
    Pages 33-60
  4. Yuqing Chen, Yeol Je Cho, Themistocles M. Rassias
    Pages 61-83
  5. Giuseppe Da Prato
    Pages 99-127
  6. Ville-Pekka Eronen, Marko M. Mäkelä, Napsu Karmitsa
    Pages 129-155
  7. Petru Mironescu
    Pages 203-228
  8. Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov
    Pages 229-247
  9. Martin Schechter
    Pages 259-276
  10. Diana Stan, Félix del Teso, Juan Luis Vázquez
    Pages 277-308

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

Graduate students and researchers in mathematics, physics, engineering, and economics will find this book a useful reference for new techniques and research areas. Haim Brezis and Louis Nirenberg’s fundamental research in nonlinear functional analysis and nonlinear partial differential equations along with their years of teaching and training students have had a notable impact in the field.


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

Editors and affiliations

  • Themistocles M. Rassias
    • 1
  1. 1.Department of MathematicsNational Technical University of AthensAthensGreece

Bibliographic information