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Current Research in Nonlinear Analysis (eBook, PDF)
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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…mehr

Produktbeschreibung
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.

Autorenporträt
Themistocles M. Rassias is a Greek mathematician and a Professor at the National Technical University of Athens. He received the Ph.D. in Mathematics from the University of California at Berkeley under the advice of Stephen Smale. He has been honored with three Honorary Doctorates. He has published more than 300 papers, 10 research books and has received more than 13,000 citations according to Google Scholar and more than 4,500 citations according to MathSciNet. His h-index is 43. He serves as a member of the Editorial Board of several international mathematical journals.