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Variational Principles in Mathematical Physics, Geometry, and Economics

Alexandru Kristály, Vicențiu D. Rādulescu and Csaba Gyöorgy Varga
Publisher: 
Cambridge University Press
Publication Date: 
2010
Number of Pages: 
368
Format: 
Hardcover
Series: 
Encyclopedia of Mathematics and Its Applications 136
Price: 
99.00
ISBN: 
9780521117821
Category: 
Monograph
We do not plan to review this book.

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.

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