000 03048 a2200265 4500
010 _a 2010024384
020 _a9780521117821 (hardback)
035 _a
082 0 0 _a515/.64
090 _c19014
_d19014
100 1 _aKristaly, Alexandru
245 _aVariational principles in mathematical physics, geometry, and economics
_bqualitative analysis of nonlinear equations and unilateral problems
_cAlexandru Kristaly, Vicentiu Radulescu, Csaba Gyo Varga
260 _aNew York
_bCambridge University Press
_c2010
300 _axv, 368 p
_bill
_c24 cm
440 _aEncyclopedia of mathematics and its applications
_n136
500 _aCuprinde bibliografie si index
500 _aDonata bibliotecii din partea domnului Vicentiu Radulescu
505 _aMachine 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; Referenc
520 _a"This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis"--
650 _aCalculus of variations
700 _aRadulescu, Vicentiu
700 _aVarga, Csaba Gyorgy
856 _3Cover image
_uhttp://assets.cambridge.org/97805211/17821/cover/9780
942 _aIMAR
_cCART
_sMD
999 _c18758
_d18758