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1、SpringerMonographsinMathematicsKung-ChingChangMethodsinNonlinearAnalysisABCKung-ChingChangSchoolofMathematicalSciencesPekingUniversity100871BeijingPeople’sRepublicofChinaE-mail:kcchang@math.pku.edu.cnLibraryofCongressControlNumber:2005931137MathematicsSubjec
2、tClassification(2000):47H00,47J05,47J07,47J25,47J30,58-01,58C15,58E05,49-01,49J15,49J35,49J45,49J53,35-01ISSN1439-7382ISBN-103-540-24133-7SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-24133-1SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrig
3、htsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationorpartsthereofisper
4、mittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringeronl
5、ine.comcSpringer-VerlagBerlinHeidelberg2005PrintedinTheNetherlandsTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulati
6、onsandthereforefreeforgeneraluse.Typesetting:bytheauthorsandTechBooksusingaSpringerLATEXmacropackageCoverdesign:design&productionGmbH,HeidelbergPrintedonacid-freepaperSPIN:1136929541/TechBooks543210PrefaceNonlinearanalysisisanewareathatwasbornandhasmaturedfr
7、omabun-dantresearchdevelopedinstudyingnonlinearproblems.Inthepastthirtyyears,nonlinearanalysishasundergonerapidgrowth;ithasbecomepartofthemainstreamresearchfieldsincontemporarymathematicalanalysis.Manynonlinearanalysisproblemshavetheirrootsingeometry,astronom
8、y,fluidandelasticmechanics,physics,chemistry,biology,controltheory,imageprocessingandeconomics.Thetheoriesandmethodsinnonlinearanalysisstemfrommanyareasofmathematics:Ordinarydifferentialequations,
