Alexandru Kristaly, Vicentiu D. Radulescu, Csaba Gyorgy Varga

Variational Principles in Mathematical Physics, Geometry, and Economics

Qualitative Analysis of Nonlinear Equations and Unilateral Problems

• Gebundenes Buch

Produktbeschreibung

A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 386
• Erscheinungstermin: 17. Mai 2011
• Englisch
• Abmessung: 240mm x 161mm x 25mm
• Gewicht: 745g
• ISBN-13: 9780521117821
• ISBN-10: 0521117828
• Artikelnr.: 29984499

Autorenporträt

Alexandru Kristály is Associate Professor in the Department of Economics at the University of Babe¿-Bolyai in Cluj-Napoca, Romania.

Inhaltsangabe

Foreword Jean Mawhin
Preface
Part I. Variational Principles in Mathematical Physics: 1. Variational principles
2. Variational inequalities
3. Nonlinear eigenvalue problems
4. Elliptic systems of gradient type
5. Systems with arbitrary growth nonlinearities
6. Scalar field systems
7. Competition phenomena in Dirichlet problems
8. Problems to Part I
Part II. Variational Principles in Geometry: 9. Sublinear problems on Riemannian manifolds
10. Asymptotically critical problems on spheres
11. Equations with critical exponent
12. Problems to Part II
Part III. Variational Principles in Economics: 13. Mathematical preliminaries
14. Minimization of cost-functions on manifolds
15. Best approximation problems on manifolds
16. A variational approach to Nash equilibria
17. Problems to Part III
Appendix A. Elements of convex analysis
Appendix B. Function spaces
Appendix C. Category and genus
Appendix D. Clarke and Degiovanni gradients
Appendix E. Elements of set-valued analysis
References
Index.