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Record ID harvard_bibliographic_metadata/ab.bib.14.20150123.full.mrc:217424085:2760
Source harvard_bibliographic_metadata
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LEADER: 02760nam a22004935a 4500
001 014158809-8
005 20141003190933.0
008 100301s2006 sz | o ||0| 0|eng d
020 $a9783764373962
020 $a9783764373214 (ebk.)
020 $a9783764373962
020 $a9783764373214
024 7 $a10.1007/3-7643-7396-2$2doi
035 $a(Springer)9783764373962
040 $aSpringer
050 4 $aQA297-299.4
072 7 $aMAT006000$2bisacsh
072 7 $aMAT021000$2bisacsh
072 7 $aPBKS$2bicssc
082 04 $a518$223
100 1 $aAmbrosetti, Antonio,$eauthor.
245 10 $aPerturbation Methods and Semilinear Elliptic Problems on Rn /$cby Antonio Ambrosetti, Andrea Malchiodi.
264 1 $aBasel :$bBirkhäuser Basel,$c2006.
300 $aIX, 183 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aProgress in Mathematics ;$v240
505 0 $aExamples and Motivations -- Pertubation in Critical Point Theory -- Bifurcation from the Essential Spectrum -- Elliptic Problems on ?n with Subcritical Growth -- Elliptic Problems with Critical Exponent -- The Yamabe Problem -- Other Problems in Conformal Geometry -- Nonlinear Schrödinger Equations -- Singularly Perturbed Neumann Problems -- Concentration at Spheres for Radial Problems.
520 $aThe aim of this monograph is to discuss several elliptic problems on Rn with two main features: they are variational and perturbative in nature, and standard tools of nonlinear analysis based on compactness arguments cannot be used in general. For these problems, a more specific approach that takes advantage of such a perturbative setting seems to be the most appropriate. The first part of the book is devoted to these abstract tools, which provide a unified frame for several applications, often considered different in nature. Such applications are discussed in the second part, and include semilinear elliptic problems on Rn, bifurcation from the essential spectrum, the prescribed scalar curvature problem, nonlinear Schrödinger equations, and singularly perturbed elliptic problems in domains. These topics are presented in a systematic and unified way.
650 20 $aDifferential equations, Partial.
650 20 $aNumerical analysis.
650 20 $aFunctional analysis.
650 10 $aMathematics.
650 0 $aDifferential equations, partial.
650 0 $aFunctional analysis.
650 0 $aMathematics.
650 0 $aNumerical analysis.
700 1 $aMalchiodi, Andrea,$eauthor.
776 08 $iPrinted edition:$z9783764373214
830 0 $aProgress in Mathematics ;$v240.
988 $a20140910
906 $0VEN