Coverart for item
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

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
Creator
Contributor
Subject
Genre
Language
eng
Summary
"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"--
Member of
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
Instantiates
Publication
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 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
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
Publication
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 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
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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