000			03343nam a22005415i 4500
001			978-0-387-32968-0
003			DE-He213
005			20180115171401.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387329680 _9978-0-387-32968-0
024	7		_a10.1007/0-387-32968-4 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aZou, Wenming. _eauthor.
245	1	0	_aCritical Point Theory and Its Applications _h[electronic resource] / _cby Wenming Zou, Martin Schechter.
264		1	_aBoston, MA : _bSpringer US, _c2006.
300			_aXII, 318 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreliminaries -- Functionals Bounded Below -- Even Functionals -- Linking and Homoclinic Type Solutions -- Double Linking Theorems -- Superlinear Problems -- Systems with Hamiltonian Potentials -- Linking and Elliptic Systems -- Sign-Changing Solutions -- Cohomology Groups.
520			_aSince the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been obtained with other methods. This book describes the methods and presents the newest applications. The topics covered in the book include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. The applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations. Many minimax theorems are established without the use of the (PS) compactness condition. Audience This book is intended for advanced graduate students and researchers in mathematics studying the calculus of variations, differential equations and topological methods.
650		0	_aMathematics.
650		0	_aMathematical analysis.
650		0	_aAnalysis (Mathematics).
650		0	_aFunctional analysis.
650		0	_aGlobal analysis (Mathematics).
650		0	_aManifolds (Mathematics).
650		0	_aDifferential equations.
650		0	_aPartial differential equations.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
650	2	4	_aPartial Differential Equations.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aFunctional Analysis.
700	1		_aSchechter, Martin. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387329659
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-32968-4
912			_aZDB-2-SMA
999			_c369433 _d369433