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 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…
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.