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