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Variational principles in mathematic...

Radulescu, V.

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Variational principles in mathematical physics, geometry, and economics :/ Alexandru Kristaly, Vicentiu Radulescu, Csaba Gyorgy Varga.
其他題名:	qualitative analysis of nonlinear equations and unilateral problems /
作者:	Kristaly, Alexandru.
其他作者:	Radulescu, V.
出版者:	Cambridge, UK ;Cambridge University Press, : 2010.,
面頁冊數:	xv, 368 p. ;24 cm.
內容註:	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.
標題:	Calculus of variations. -
電子資源:	http://assets.cambridge.org/97805211/17821/cover/9780521117821.jpg
ISBN:	9780521117821 (hardback) :

Variational principles in mathematical physics, geometry, and economics : = qualitative analysis of nonlinear equations and unilateral problems /
Kristaly, Alexandru.

Variational principles in mathematical physics, geometry, and economics :qualitative analysis of nonlinear equations and unilateral problems /Alexandru Kristaly, Vicentiu Radulescu, Csaba Gyorgy Varga. - Cambridge, UK ;Cambridge University Press,2010. - xv, 368 p. ;24 cm. - Encyclopedia of mathematics and its applications ;136.

Includes bibliographical references (p. [349]-360) and indexes.

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.

"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"--

ISBN: 9780521117821 (hardback) :US99.00

LCCN: 2010024384

Nat. Bib. No.: GBB067221bnb

Nat. Bib. Agency Control No.: 015566305UkSubjects--Topical Terms:

516604
Calculus of variations.

LC Class. No.: QA315 / .K75 2010

Dewey Class. No.: 515/.64

Variational principles in mathematical physics, geometry, and economics : = qualitative analysis of nonlinear equations and unilateral problems /
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040 $a DLC $c DLC $d YDX $d BWK $d CDX $d YDXCP $d UKM $d BTCTA $d COO $d BWX $d IOG $d DLC
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050 0 0 $a QA315 $b .K75 2010
082 0 0 $a 515/.64 $2 22
100 1 $a Kristaly, Alexandru. $3 1299093
245 1 0 $a Variational principles in mathematical physics, geometry, and economics : $b qualitative analysis of nonlinear equations and unilateral problems / $c Alexandru Kristaly, Vicentiu Radulescu, Csaba Gyorgy Varga.
260 # $a Cambridge, UK ; $a New York : $b Cambridge University Press, $c 2010.
300 $a xv, 368 p. ; $c 24 cm.
490 0 $a Encyclopedia of mathematics and its applications ; $v 136
504 $a Includes bibliographical references (p. [349]-360) and indexes.
505 8 # $a 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.
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"-- $c Provided by publisher.
650 # 0 $a Calculus of variations. $3 516604
700 1 # $a Radulescu, V. $3 748576
700 1 # $a Varga, Csaba Gyorgy. $3 1299094
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805211/17821/cover/9780521117821.jpg