Nonlinear analysis and semilinear elliptic problems /
Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge :
Cambridge University Press,
2007.
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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.