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Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems
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Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems

Alexandru Kristály

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Contents

Machine generated contents note: 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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Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems by Alexandru Kristály. ISBN 9780521117821. Published by Cambridge University Press in 2010. Publication and catalogue information, links to buy online and reader comments.

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