000			03051nam a22004815i 4500
001			978-3-0348-0376-2
003			DE-He213
005			20140220083254.0
007			cr nn 008mamaa
008			120730s2012 sz | s |||| 0|eng d
020			_a9783034803762 _9978-3-0348-0376-2
024	7		_a10.1007/978-3-0348-0376-2 _2doi
050		4	_aQA641-670
072		7	_aPBMP _2bicssc
072		7	_aMAT012030 _2bisacsh
082	0	4	_a516.36 _223
100	1		_aMastrolia, Paolo. _eauthor.
245	1	0	_aYamabe-type Equations on Complete, Noncompact Manifolds _h[electronic resource] / _cby Paolo Mastrolia, Marco Rigoli, Alberto G Setti.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2012.
300			_aVII, 256 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v302
505	0		_aIntroduction -- 1 Some Riemannian Geometry -- 2 Pointwise conformal metrics -- 3 General nonexistence results -- 4 A priori estimates -- 5 Uniqueness -- 6 Existence -- 7 Some special cases -- References -- Index.
520			_aThe aim of this monograph is to present a self-contained introduction to some geometric and analytic aspects of the Yamabe problem. The book also describes a wide range of methods and techniques that can be successfully applied to nonlinear differential equations in particularly challenging situations. Such situations occur where the lack of compactness, symmetry and homogeneity prevents the use of more standard tools typically used in compact situations or for the Euclidean setting. The work is written in an easy style that makes it accessible even to non-specialists. After a self-contained treatment of the geometric tools used in the book, readers are introduced to the main subject by means of a concise but clear study of some aspects of the Yamabe problem on compact manifolds. This study provides the motivation and geometrical feeling for the subsequent part of the work. In the main body of the book, it is shown how the geometry and the analysis of nonlinear partial differential equations blend together to give up-to-date results on existence, nonexistence, uniqueness and a priori estimates for solutions of general Yamabe-type equations and inequalities on complete, non-compact Riemannian manifolds.
650		0	_aMathematics.
650		0	_aGlobal analysis.
650		0	_aGlobal differential geometry.
650	1	4	_aMathematics.
650	2	4	_aDifferential Geometry.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
700	1		_aRigoli, Marco. _eauthor.
700	1		_aSetti, Alberto G. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034803755
830		0	_aProgress in Mathematics ; _v302
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0376-2
912			_aZDB-2-SMA
999			_c101735 _d101735