000			03593nam a22005295i 4500
001			978-1-4614-9323-5
003			DE-He213
005			20140220082505.0
007			cr nn 008mamaa
008			131116s2014 xxu| s |||| 0|eng d
020			_a9781461493235 _9978-1-4614-9323-5
024	7		_a10.1007/978-1-4614-9323-5 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aMotreanu, Dumitru. _eauthor.
245	1	0	_aTopological and Variational Methods with Applications to Nonlinear Boundary Value Problems _h[electronic resource] / _cby Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2014.
300			_aXI, 459 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_a Preface -- Introduction -- Sobolev Spaces -- Nonlinear Operators -- Nonsmooth Analysis -- Degree Theory -- Variational Principles and Critical Point Theory -- Morse Theory -- Bifurcation Theory -- Regularity Theorems and Maximum Principles -- Spectrum of Differential Operators -- Ordinary Differential Equations -- Nonlinear Elliptic Equations with Dirichlet Boundary Conditions -- Nonlinear Elliptic Equations with Neumann Boundary Conditions -- List of Symbols -- References.- Index .
520			_aThis book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operator appears for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.
650		0	_aMathematics.
650		0	_aGlobal analysis.
650		0	_aOperator theory.
650		0	_aDifferential Equations.
650		0	_aDifferential equations, partial.
650		0	_aMathematical optimization.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aCalculus of Variations and Optimal Control; Optimization.
650	2	4	_aOperator Theory.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
700	1		_aMotreanu, Viorica Venera. _eauthor.
700	1		_aPapageorgiou, Nikolaos. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461493228
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-9323-5
912			_aZDB-2-SMA
999			_c92354 _d92354