Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems / Alexandru Kristály, Vicenţiu Rădulescu, Csaba György Varga

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

著者
Rădulescu, V、Varga, Csaba Gyorgy、Kristály, Alexandru
出版社
Cambridge University Press
発売日
2010年1月発売
価格
価格未定(税込・書誌情報提供:openBD)
ISBN
9780521117821

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