1.

Record Nr.

UNINA9910793037903321

Autore

Papageorgiou Nikolaos Socrates

Titolo

Applied nonlinear functional analysis : an introduction / / Nikolaos S. Papageorgiou and Patrick Winkert

Pubbl/distr/stampa

Berlin ; ; Boston : , : De Gruyter, , 2018

ISBN

3-11-053183-6

3-11-053298-0

Descrizione fisica

1 online resource (622 pages)

Collana

De Gruyter textbook

Disciplina

515.7

Soggetti

Nonlinear functional analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Frontmatter -- Preface -- Contents -- 1. basic topology -- 2. measure theory -- 3. basic functional analysis -- 4. banach spaces of functions and measures -- 5. convex functions - nonsmooth analysis -- 6. nonlinear analysis -- Bibliography -- Index -- List of symbols

Sommario/riassunto

The aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis. Contents Basic Topology Measure Theory Basic Functional Analysis Banach Spaces of Functions and Measures Convex Functions - Nonsmooth Analysis Nonlinear Analysis