000			03233nam a22004815i 4500
001			978-0-85729-227-8
003			DE-He213
005			20140220083713.0
007			cr nn 008mamaa
008			101207s2011 xxk| s |||| 0|eng d
020			_a9780857292278 _9978-0-85729-227-8
024	7		_a10.1007/978-0-85729-227-8 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aBadiale, Marino. _eauthor.
245	1	0	_aSemilinear Elliptic Equations for Beginners _h[electronic resource] : _bExistence Results via the Variational Approach / _cby Marino Badiale, Enrico Serra.
264		1	_aLondon : _bSpringer London, _c2011.
300			_aX, 199p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_aIntroduction and basic results -- Minimization techniques: compact problems -- Minimization techniques: lack of compactness -- Introduction to minimax methods -- Index of the main assumptions.
520			_aSemilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced spectacular success in recent years, reaching a high level of complexity and refinement, with a multitude of applications. Additionally, some of the simplest variational methods are evolving as classical tools in the field of nonlinear differential equations. This book is an introduction to variational methods and their applications to semilinear elliptic problems. Providing a comprehensive overview on the subject, this book will support both student and teacher engaged in a first course in nonlinear elliptic equations. The material is introduced gradually, and in some cases redundancy is added to stress the fundamental steps in theory-building. Topics include differential calculus for functionals, linear theory, and existence theorems by minimization techniques and min-max procedures. Requiring a basic knowledge of Analysis, Functional Analysis and the most common function spaces, such as Lebesgue and Sobolev spaces, this book will be of primary use to graduate students based in the field of nonlinear partial differential equations. It will also serve as valuable reading for final year undergraduates seeking to learn about basic working tools from variational methods and the management of certain types of nonlinear problems.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aPartial Differential Equations.
650	2	4	_aCalculus of Variations and Optimal Control, Optimization.
700	1		_aSerra, Enrico. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857292261
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-227-8
912			_aZDB-2-SMA
999			_c105166 _d105166