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The Resource Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems, Alexandru Kristály, Vicenţiu Rădulescu, Csaba Gyorgy Varga
Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems, Alexandru Kristály, Vicenţiu Rădulescu, Csaba Gyorgy Varga
Resource Information
The item Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems, Alexandru Kristály, Vicenţiu Rădulescu, Csaba Gyorgy Varga represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems, Alexandru Kristály, Vicenţiu Rădulescu, Csaba Gyorgy Varga represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 "This comprehensive introduction to the calculus of variations and its main principles also presents their reallife 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"
 Language
 eng
 Extent
 xv, 368 pages
 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 costfunctions 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 setvalued analysis; References; Index
 Isbn
 9780521117821
 Label
 Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems
 Title
 Variational principles in mathematical physics, geometry, and economics
 Title remainder
 qualitative analysis of nonlinear equations and unilateral problems
 Statement of responsibility
 Alexandru Kristály, Vicenţiu Rădulescu, Csaba Gyorgy Varga
 Language
 eng
 Summary
 "This comprehensive introduction to the calculus of variations and its main principles also presents their reallife 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"
 Assigning source
 Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorName
 Kristály, Alexandru
 Index
 no index present
 LC call number
 QA315
 LC item number
 .K75 2010
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorDate
 1958
 http://library.link/vocab/relatedWorkOrContributorName

 Rădulescu, Vicenţiu D.
 Varga, Csaba Gyorgy
 Series statement
 Encyclopedia of mathematics and its applications
 Series volume
 136
 http://library.link/vocab/subjectName

 Calculus of variations
 Calculus of variations
 Variationsrechnung
 Variationsrechnung
 Anwendung
 Label
 Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems, Alexandru Kristály, Vicenţiu Rădulescu, Csaba Gyorgy Varga
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 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 costfunctions 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 setvalued analysis; References; Index
 Dimensions
 24 cm.
 Extent
 xv, 368 pages
 Isbn
 9780521117821
 Isbn Type
 (hardback)
 Lccn
 2010024384
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 System control number

 (OCoLC)645246013
 (OCoLC)ocn645246013
 Label
 Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems, Alexandru Kristály, Vicenţiu Rădulescu, Csaba Gyorgy Varga
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 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 costfunctions 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 setvalued analysis; References; Index
 Dimensions
 24 cm.
 Extent
 xv, 368 pages
 Isbn
 9780521117821
 Isbn Type
 (hardback)
 Lccn
 2010024384
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 System control number

 (OCoLC)645246013
 (OCoLC)ocn645246013
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