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1、RecentProgressinConformalGeometryImperialCollegePressAdvancedTextsinMathematicsSeriesEditor:DennisBarden(Univ.ofCambridge,UK)Vol.1RecentProgressinConformalGeometrybyAbbasBahri(RutgersUniv.USA)&YongZhongXu(CourantInst.fortheMathematicalSciences,USA)ZhangJi-RecentPro
2、gress.pmd21/12/2007,5:09PMICPAdvancedTextsinMathematics–Vol.1RecentProgressinConformalGeometryAbbasBahriRutgersUniversity,USAYongzhongXuCourantInstitutefortheMathematicalSciences,USAImperialCollegePressICPPublishedbyImperialCollegePress57SheltonStreetCoventGardenLo
3、ndonWC2H9HEDistributedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisboo
4、kisavailablefromtheBritishLibrary.RECENTPROGRESSINCONFORMALGEOMETRYCopyright©2007byImperialCollegePressAllrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageand
5、retrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthe
6、publisher.ISBN-13978-1-86094-772-8ISBN-101-86094-772-7PrintedinSingapore.ZhangJi-RecentProgress.pmd11/12/2007,5:09PMJanuary17,200711:55WSPC/BookTrimSizefor9inx6infinalBBPrefaceThisbookisdividedintotwoparts.ThefirstpartisaboutSign-ChangingYamabe-typeproblems.AMorseLem
7、maatinfinity,underreasonablebasicconjectures,isprovedforsuchproblems.Thisworkisanattempttodefineanewareaofresearchfornonlinearanalysts.Wehavetriedinittoprovideafamilyofestimatesandtechniqueswiththehelpofwhichtheproblemoffindinginfinitelymanysolutionstotheseequationsond
8、omainsofR3canbestudied.Ourestimatesandourworkisa“casd’ecole”inthatweworkonR3orS3,aframeworkwheresolutionsareknowntoexist,infactininfinitenumber;an
