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《SMM Nonsmooth Variational Problems and Their Inequalities (Siegfried Carl Vy Khoi Le Dumitru Motreanu)》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、SpringerMonographsinMathematicsSiegfriedCarlVyKhoiLeDumitruMotreanuNonsmoothVariationalProblemsandTheirInequalitiesComparisonPrinciplesandApplicationsSiegfriedCarlVyKhoiLeInstitutfürMathematikDepartmentofMathematicsandMartin-Luther-UniversitätStatisticsHalle-WittenbergUniversityofM
2、issouri-RollaD-06099HalleRolla,MO65409GermanyU.S.Asiegfried.carl@mathematik.uni-halle.devy@umr.eduDumitruMotreanuDépartementdeMathématiquesUniversitédePerpignan66860PerpignanFrancemotreanu@univ-perp.frMathematicsSubjectClassifications(2000):(Primary)35B05,35J20,35J85,35K85,35R70,47
3、J20,47J35,49J52,49J53;(Secondary)35J60,35K55,35R05,35R45,49J40,58E35LibraryofCongressControlNumber:2006933727ISBN-13:978-0-387-30653-7e-ISBN-13:978-0-387-46252-3Printedonacid-freepaper.©2007SpringerScience+BusinessMedia,LLCAllrightsreserved.Thisworkmaynotbetranslatedorcopiedinwhole
4、orinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMediaLLC,233SpringStreet,NewYork,NY10013,U.S.A.),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftwa
5、re,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.987654321s
6、pringer.com(TXQ/SB)PrefaceNonsmoothvariationalproblemshavetheirorigininthestudyofnondiffer-entiableenergyfunctionals,andtheyariseasnecessaryconditionsofcriticalpointsofsuchfunctionals.Inthisway,variationalinequalitiesarerelatedwithconvexenergyorpotentialfunctionals,whereasthenewclas
7、sofhemivaria-tionalinequalitiesariseinthestudyofnonconvexpotentialfunctionalsthatare,ingeneral,merelylocallyLipschitz.Thefoundationofvariationalinequal-itiesisfromFichera,Lions,andStampacchia,anditdatesbacktothe1960s.HemivariationalinequalitieswerefirstintroducedbyPanagiotopoulosabo
8、uttwodecadesagoandareclose
