000			03468nam a22005417a 4500
001			sulb-eb0023119
003			BD-SySUS
005			20160413122335.0
007			cr nn 008mamaa
008			131122s2013 sz | s |||| 0|eng d
020			_a9783034803731 _9978-3-0348-0373-1
024	7		_a10.1007/978-3-0348-0373-1 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
245	1	0	_aConcentration Analysis and Applications to PDE _h[electronic resource] : _bICTS Workshop, Bangalore, January 2012 / _cedited by Adimurthi, K. Sandeep, Ian Schindler, Cyril Tintarev.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2013.
300			_aX, 156 p. 119 illus., 1 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aTrends in Mathematics
505	0		_aIntroduction -- On the Elements Involved in the Lack of Compactness in Critical Sobolev Embedding -- A Class of Second-order Dilation Invariant Inequalities -- Blow-up Solutions for Linear Perturbations of the Yamabe Equation -- Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space -- The Lyapunov–Schmidt Reduction for Some Critical Problems -- A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via Lyapunov–Schmidt’s Finite-dimensional Reduction -- Concentration Analysis and Cocompactness -- A Note on Non-radial Sign-changing Solutions for the Schrödinger–Poisson Problem in the Semiclassical Limit.
520			_aConcentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since the introduction of concentration compactness in the 1980s, concentration analysis today is formalized on the functional-analytic level as well as in terms of wavelets, extends to a wide range of spaces, involves much larger class of invariances than the original Euclidean rescalings and has a broad scope of applications to PDE. The book represents current research in concentration and blow-up phenomena from various perspectives, with a variety of applications to elliptic and evolution PDEs, as well as a systematic functional-analytic background for concentration phenomena, presented by profile decompositions based on wavelet theory and cocompact imbeddings.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aGlobal analysis (Mathematics).
650		0	_aManifolds (Mathematics).
650		0	_aPartial differential equations.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
650	2	4	_aFunctional Analysis.
700	1		_aAdimurthi, . _eeditor.
700	1		_aSandeep, K. _eeditor.
700	1		_aSchindler, Ian. _eeditor.
700	1		_aTintarev, Cyril. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034803724
830		0	_aTrends in Mathematics
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0373-1
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c45211 _d45211