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Current Research in Nonlinear Analysis

In Honor of Haim Brezis and Louis Nirenberg

Themistocles M. Rassias (Hrsg.)

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Naturwissenschaften, Medizin, Informatik, Technik / Sonstiges

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 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.

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Schlagwörter

equivalence of Eulerian and Lagrangian variables, Lagrangian systems, sum of two maximal monotone operators, Nondiscrete Lassonde-Revalski principle, Haim Brezis, Nonlinear Mathematics, Porous medium equation with nonlocal pressure, Nonlinear Analysis., non steady two-dimensional setting, Anisotropic surface measures, Open problems, Louis Nirenberg, pseudo-and quasiconvexities