some nonlinear problems in riemannian geometry(aubin)

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1、ThierryAubinSomeNonlinearProblemsinRiemannianGeometrySpringerThierryAubinUniversityofParisV1Mathematiques4,PlaceJussieu,Boite172F-75252ParisFranceLibraryofCongressCataloging-in-PublicationDataAubin,Thierry.SomenonlinearproblemsInRiemanniangeometry/ThierryAubin.

2、p.cm.--(Springermonographsinmathematics)Includesbibliographicalreferencesandindex.ISBN3-540-60752-8(hardcover)1.Geometry,Riemannian.2.Nonlineartheories.I.Title.II.Series.OA649.A8331998516.3'73--dc2l98-4150CIPMathematicsSubjectClassification(1991):35,53,58ISBN3-

3、540-60752-8Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmor

4、inanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.Violationsareliableforprosecut

5、ionundertheGermanCopyrightLaw.CSpringer-VerlagBerlinHeidelberg1998PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarksetc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelaw

6、sandregulationsandthereforefreeforgeneraluse.Typesetting:DataconversionbyA.Leinz,KarlsruheSPIN1051886941/3143-543210-Printedonacid-freepaperPrefaceThisbookistheunionoftwobooks:theneweditionoftheformerone"Non-linearAnalysisonManifolds.Monge-AmpereEquations"(Grun

7、dlehren252Springer1982)mixedwithanewonewhereonefinds,amongotherthings,up-to-dateresultsontheproblemsstudiedintheearlierone,andnewmethodsforsolvingnonlinearellipticproblems.Wewillgivebelowsuccessivelytheprefacesofthetwobooks,andattheendofthevolume,thetwobibliogr

8、aphies(thereferences*arenew).AveryinterestingareaofnonlinearpartialdifferentialequationsliesinthestudyofspecialequationsarisinginGeometryandPhysics.Thisbookdealswithsomeimpo