Current Research in Nonlinear Analysis

Beschreibung

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 fornew 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.

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

Autor*in

Themistocles M. Rassias

Themen in »Current Research in Nonlinear Analysis«

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

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