Antonio Ambrosetti, Andrea Malchiodi

Nonlinear Analysis and Semilinear Elliptic Problems

• Gebundenes Buch

Produktbeschreibung

A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.

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Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 330
• Erscheinungstermin: 4. Januar 2007
• Englisch
• Abmessung: 235mm x 157mm x 22mm
• Gewicht: 642g
• ISBN-13: 9780521863209
• ISBN-10: 0521863201
• Artikelnr.: 21618639

Autorenporträt

Antonio Ambrosetti is a Professor at SISSA, Trieste.

Inhaltsangabe

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.