000			03580nam a22003858i 4500
001			CR9780511760631
003			UkCbUP
005			20200124160238.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100506s2010||||enk o ||1 0|eng|d
020			_a9780511760631 (ebook)
020			_z9780521117821 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA315 _b.K75 2010
082	0	0	_a515/.64 _222
100	1		_aKristály, Alexandru, _eauthor.
245	1	0	_aVariational principles in mathematical physics, geometry, and economics : _bqualitative analysis of nonlinear equations and unilateral problems / _cAlexandru Kristály, Vicenţiu Rădulescu, Csaba Gyorgy Varga.
246	3		_aVariational Principles in Mathematical Physics, Geometry, & Economics
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (xv, 368 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 136
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aPart 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.
520			_aThis 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		0	_aCalculus of variations.
700	1		_aRădulescu, Vicenţiu D., _d1958- _eauthor.
700	1		_aVarga, Csaba Gyorgy, _eauthor.
776	0	8	_iPrint version: _z9780521117821
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 136.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511760631
999			_c518276 _d518274