"Analisi funzionale non lineare." . . "Doğrusal olmayan fonksiyonel analiz." . . "Análisis Funcional no Lineal." . . "Analiză funcţională neliniară." . . "Análisis funcional." . . "Ikke-lineær funksjonalanalyse" . . . . "Vorlesungen über nichtlineare Funktionalanalysis : Vol.: 2. : Monotone Operatoren" . . . . . . . "Nonlinear functional analysis and its applications : nonlinear monotone operators"@en . . "Vorlesungen über nichtlineare Funktionalanalysis" . . . . . . . "Vorlesungen ueber nichtlineare Funktionalanalysis" . . . . . . . . . . "Fixed-point theorems" . . . . . . . . . . "Nonlinear functional analysis and its applications : linear monotone operators"@en . . "Vorlesungen über nichtlineare Funktional-analysis" . . . . . "Vorlesungen über nichtlineare Funktionalanalysis" . . . . "Linear monotone operators" . . . . . . . "As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation."@en . . . . . . . . . "Variational methods and optimization" . . . . . . . "Nonlinear monotone operators" . . . . "Electronic books"@en . "Vorlesungen uber nichtlineare Funktionalanalysis"@en . . . . . "Applications to mathematical physics" . "Nonlinear functional analysis and its applications"@en . . . "Nonlinear functional analysis and its applications" . "Vorlesungen über nichtlineare Funktionalanlysis" . . . . . . . . . . . . "Analyse fonctionnelle nonlinéaire." . . "Analyse fonctionnelle." . . "Functionaalanalyse." . . "Nichtlineare Funktionalanalysis." . . "Nichtlineare Funktionalanalysis" . "Fixed point theory." . . "Nonlinear functional analysis." . . "Nichtlineare Analysis." . . "Funktionalanalysis." . . "Anàlisi funcional no lineal." . . "Fizică matematică." . . "Funkcionálanalízis." . .