000			03055nam a22003978i 4500
001			CR9780511551703
003			UkCbUP
005			20200124160233.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090512s1993||||enk o ||1 0|eng|d
020			_a9780511551703 (ebook)
020			_z9780521440257 (hardback)
020			_z9780521071956 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA614.7 _b.G48 1993
082	0	0	_a514/.74 _220
100	1		_aGhoussoub, N. _q(Nassif), _d1953- _eauthor.
245	1	0	_aDuality and perturbation methods in critical point theory / _cNassif Ghoussoub.
246	3		_aDuality & Perturbation Methods in Critical Point Theory
264		1	_aCambridge : _bCambridge University Press, _c1993.
300			_a1 online resource (xviii, 258 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v107
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	2		_aLipschitz and smooth perturbed minimization principles -- Linear and plurisubharmonic perturbed minimization principles -- The classical min-max theorem -- A strong form of the min-max principle -- Relaxed boundary conditions in the presence of a dual set -- The critical set in the mountain pass theorem -- Group actions and multplicity of critical points -- The Palais-Smale condition around a dual set -- examples -- Morse indices of min-max critical points -- the non degenerate case -- Morse indices of min-max critical points -- the degenerate case -- Morse-tye informationon Palais-Smale sequences -- Appendices.
520			_aThe calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations. Here, Professor Ghoussoub describes a point of view that may help when dealing with such problems. Building upon min-max methods, he systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book reasonably self-contained. Consequently, it should be accessible to all mathematicians, pure or applied, economists and engineers working in nonlinear analysis or optimization.
650		0	_aCritical point theory (Mathematical analysis)
650		0	_aDuality theory (Mathematics)
650		0	_aPerturbation (Mathematics)
776	0	8	_iPrint version: _z9780521440257
830		0	_aCambridge tracts in mathematics ; _v107.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511551703
999			_c517803 _d517801