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Nonlinear Analysis and Semilinear Elliptic Problems

Antonio Ambrosetti and Andrea Malchiodi
Publisher: 
Cambridge University Press
Publication Date: 
2007
Number of Pages: 
316
Format: 
Hardcover
Series: 
Cambridge Studies in Advanced Mathematics 104
Price: 
75.00
ISBN: 
9780521863209
Category: 
Monograph
We do not plan to review this book.

 Preface; 1. Preliminaries; 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; 10. Critical points of even functionals on symmetric manifolds; 11. Further results on Elliptic Dirichlet problems; 12. Morse theory; Part IV. Appendices: Appendix 1. Qualitative results; Appendix 2. The concentration compactness principle; Appendix 3. Bifurcation for problems on Rn; Appendix 4. Vortex rings in an ideal fluid; Appendix 5. Perturbation methods; Appendix 6. Some problems arising in differential geometry; Bibliography; Index.