Nonlinear Analysis
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A Primer of Nonlinear Analysis
Author: Antonio Ambrosetti
language: en
Publisher: Cambridge University Press
Release Date: 1995-03-09
This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
Applied Nonlinear Analysis
Author: Jean-Pierre Aubin
language: en
Publisher: Courier Corporation
Release Date: 2006-01-01
Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.
Topics In Nonlinear Analysis And Applications
This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.
