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Nonlinear analysis and semilinear elliptic problems /

Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ambrosetti, A. (Antonio)
Otros Autores: Malchiodi, Andrea
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2007.
Colección:Cambridge studies in advanced mathematics ; 104.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Preliminaries; 1.1 Differential calculus; 1.2 Function spaces; 1.3 Nemitski operators; 1.4 Elliptic equations; PART I Topological methods; 2 A primer on bifurcation theory; 3 Topological degree, I; 4 Topological degree, II: global properties; PART II Variational methods, I; 5 Critical points: extrema; 6 Constrained critical points; 7 Deformations and the Palais-Smale condition; 8 Saddle points and min-max methods; PART III Variational methods, II; 9 Lusternik-Schnirelman theory.