000			03365nam a22004935i 4500
001			978-0-8176-8114-2
003			DE-He213
005			20140220083711.0
007			cr nn 008mamaa
008			110720s2011 xxu| s |||| 0|eng d
020			_a9780817681142 _9978-0-8176-8114-2
024	7		_a10.1007/978-0-8176-8114-2 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aAmbrosetti, Antonio. _eauthor.
245	1	3	_aAn Introduction to Nonlinear Functional Analysis and Elliptic Problems _h[electronic resource] / _cby Antonio Ambrosetti, David Arcoya.
264		1	_aBoston : _bBirkhäuser Boston, _c2011.
300			_aXII, 199p. 12 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Nonlinear Differential Equations and Their Applications ; _v82
505	0		_aNotation -- Preliminaries -- Some Fixed Point Theorems -- Local and Global Inversion Theorems -- Leray-Schauder Topological Degree -- An Outline of Critical Points -- Bifurcation Theory -- Elliptic Problems and Functional Analysis -- Problems with A Priori Bounds -- Asymptotically Linear Problems -- Asymmetric Nonlinearities -- Superlinear Problems -- Quasilinear Problems -- Stationary States of Evolution Equations -- Appendix A Sobolev Spaces -- Exercises -- Index -- Bibliography.
520			_aThis self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining the advantages and disadvantages of each method, this comprehensive text displays how various approaches can easily be applied to a range of model cases. An Introduction to Nonlinear Functional Analysis and Elliptic Problems is divided into two parts: the first discusses key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, Leray–Schauder degree, critical point theory, and bifurcation theory; the second part shows how these abstract results apply to Dirichlet elliptic boundary value problems.  The exposition is driven by numerous prototype problems and exposes a variety of approaches to solving them. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.
650		0	_aMathematics.
650		0	_aDifferentiable dynamical systems.
650		0	_aFunctional analysis.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aPartial Differential Equations.
650	2	4	_aDynamical Systems and Ergodic Theory.
700	1		_aArcoya, David. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817681135
830		0	_aProgress in Nonlinear Differential Equations and Their Applications ; _v82
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-8114-2
912			_aZDB-2-SMA
999			_c105096 _d105096