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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.
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Autres auteurs: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Cambridge :
Cambridge University Press,
2007.
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| Collection: | Cambridge studies in advanced mathematics ;
104. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 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.