Nonlinear analysis and optimization: a conference in celebration of Alex Ioffe's 70th …
by Ioffe, Aleksandr Davidovich, Reich, Simeon, Leizarowitz, A., (Arie), Conference on Nonlinear Analysis and Optimization, Haifa (Israel))
fromContemporary mathematics (American Mathematical Society)
Nonlinear partial differential equations
This text examines degree theory and some of its applications in analysis. Topics described include: degree theory for continuous functions; the multiplication theorem; Hopf's theorem; Brower's fixed point theorem; odd mappings; and Jordan's separation theorem.
This book is a self-contained account of knowledge of the theory of nonlinear superposition operators: a generalization of the notion of functions. The theory developed here is applicable to operators in a wide variety of function spaces, and it is here that the modern theory di…
Aiming to present a self-contained account of the present state of knowledge of the theory of the non-linear superposition operators - a generalization of the notion of functions - this book diverges from classical nonlinear analysis and is applicable to operators in a variety o…