nonlinear differential equations of monotone types in banach spaces (viorel barbu).pdf

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1、SpringerMonographsinMathematicsViorelBarbuNonlinearDifferentialEquationsofMonotoneTypesinBanachSpacesViorelBarbuFac.MathematicsAl.I.CuzaUniversityBlvd.CarolI11700506IasiRomaniavb41@uaic.roISSN1439-7382ISBN978-1-4419-5541-8e-ISBN978-1-4419-5542-5DOI10.1007/978-1-4419-5542-5SpringerNew

2、YorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2009943993MathematicsSubjectClassification(2010):34G20,34G25,35A16©SpringerScience+BusinessMedia,LLC2010Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerSci

3、ence+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdeveloped

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5、nger.com)ContentsPreface............................................................viiAcronyms.........................................................ix1FundamentalFunctionalAnalysis................................11.1GeometryofBanachSpaces.................................11.2Conve

6、xFunctionsandSubdifferentials.........................41.3SobolevSpacesandLinearEllipticBoundaryValueProblems.....101.4Infinite-DimensionalSobolevSpaces..........................21References.....................................................262MaximalMonotoneOperatorsinBanachSpaces.

7、.................272.1Minty–BrowderTheoryofMaximalMonotoneOperators.........272.2MaximalMonotoneSubpotentialOperators.....................472.3EllipticVariationalInequalities...............................722.4NonlinearEllipticProblemsofDivergenceType.................81Bibliographica

8、lRemarks....