[De Giorgi] De Giorgi Selected Papers

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1、EnnioDeGiorgiSelectedPapersEnnioDeGiorgi(CourtesyofFotoFrassi,Pisa)EnnioDeGiorgiSelectedPapersPublishedwiththesupportofUnioneMatematicaItalianaandScuolaNormaleSuperioreABCEditorsLuigiAmbrosioMarioMirandaSNS,Pisa,ItalyUniversityofTrento,ItalyGianniDalMasoSergioSpagnoloSISSA,Trieste,ItalyUniv

2、ersityofPisa,ItalyMarcoFortiUniversityofPisa,ItalyLibraryofCongressControlNumber:2005930439ISBN-103-540-26169-9SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-26169-8SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialiscon-cern

3、ed,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,re-productiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,a

4、ndpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.com
cSpringer-VerlagBerlinHeidelberg2006PrintedinTheNetherlandsTheuseofgeneraldescriptivenames,registerednames,trademarks,etc

5、.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:bytheeditorsandTechBooksusingaSpringerLATEXmacropackageCoverdesign:ErichKirchner,HeidelbergPrintedonacid-freepaperSPI

6、N:1137201141/TechBooks543210PrefaceTheprojectofpublishingsomeselectedpapersbyEnnioDeGiorgiwasunder-takenbytheScuolaNormaleSuperioreandtheUnioneMatematicaItalianain2000.Themainmotivationsforthisprojecthavebeenthedesiretomakesomeofhisclassicalpapers,originallypublishedinItalian,availabletoala

7、rgepublicandtodisplaythebroadrangeofhisachievementsandhisentireintel-lectualpath,asaproblemsolverandasaproponentofdeepandambitiousmathematicaltheories.Weselected43papers,outof152,andfor17ofthemwedecidedtokeeptheoriginalItalianversionaswell,inordertogivea