000			03218nam a22003855i 4500
001			281499
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007			cr nn 008mamaa
008			150903s2011 xxu| o |||| 0|eng d
020			_a9780817681142 _99780817681142
024	7		_a10.1007/9780817681142 _2doi
035			_avtls000333706
039		9	_a201509030218 _bVLOAD _c201404130518 _dVLOAD _c201404092307 _dVLOAD _y201402041117 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA319-329.9
100	1		_aAmbrosetti, Antonio. _eautor _9307222
245	1	3	_aAn Introduction to Nonlinear Functional Analysis and Elliptic Problems / _cby Antonio Ambrosetti, David Arcoya.
264		1	_aBoston : _bBirkhäuser Boston, _c2011.
300			_axii, 199 páginas 12 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aProgress in Nonlinear Differential Equations and Their Applications ; _v82
500			_aSpringer eBooks
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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aArcoya, David. _eautor _9307223
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817681135
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-8114-2 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c281499 _d281499