Current Research in Nonlinear Analysis

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.