000			02879nam a22004335i 4500
001			978-0-8176-4536-6
003			DE-He213
005			20251006084436.0
007			cr nn 008mamaa
008			100428s2007 xxu| s |||| 0|eng d
020			_a9780817645366
020			_a99780817645366
024	7		_a10.1007/978-0-8176-4536-6 _2doi
082	0	4	_a515.352 _223
100	1		_aCosta, David G. _eauthor.
245	1	3	_aAn Invitation to Variational Methods in Differential Equations _h[electronic resource] / _cby David G. Costa.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2007.
300			_aXII, 138 p. 9 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aCritical Points Via Minimization -- The Deformation Theorem -- The Mountain-Pass Theorem -- The Saddle-Point Theorem -- Critical Points under Constraints -- A Duality Principle -- Critical Points under Symmetries -- Problems with an S1-Symmetry -- Problems with Lack of Compactness -- Lack of Compactness for Bounded ?.
520			_aThis book is a short introductory text to variational techniques with applications to differential equations. It presents a sampling of topics in critical point theory with applications to existence and multiplicity of solutions in nonlinear problems involving ordinary differential equations (ODEs) and partial differential equations (PDEs). Five simple problems in ODEs which illustrate existence of solutions from a variational point of view are introduced in the first chapter. These problems set the stage for the topics covered, including minimization, deformation results, the mountain-pass theorem, the saddle-point theorem, critical points under constraints, a duality principle, critical points in the presence of symmetry, and problems with lack of compactness. Each topic is presented in a straightforward manner, and followed by one or two illustrative applications. The concise, straightforward, user-friendly approach of this textbook will appeal to graduate students and researchers interested in differential equations, analysis, and functional analysis.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650	1	4	_aMATHEMATICS.
650	2	4	_aORDINARY DIFFERENTIAL EQUATIONS.
650	2	4	_aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL, OPTIMIZATION.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817645359
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4536-6 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59687 _d59687