03435nam 2200745 450 991081977920332120211208221442.03-11-031542-410.1515/9783110315424(CKB)2670000000495159(EBL)1480458(OCoLC)862049177(SSID)ssj0001040478(PQKBManifestationID)11584451(PQKBTitleCode)TC0001040478(PQKBWorkID)11001022(PQKB)11691807(MiAaPQ)EBC1480458(DE-B1597)209291(OCoLC)881296455(OCoLC)990528476(DE-B1597)9783110315424(Au-PeEL)EBL1480458(CaPaEBR)ebr10811263(CaONFJC)MIL808137(PPN)182941744(EXLCZ)99267000000049515920130723h20142014 uy 0engurnn#---|u||utxtccrElliptic partial differential equations existence and regularity of distributional solutions /Lucio Boccardo, Gisella CroceBoston ;Berlin :De Gruyter Mouton,[2014]©20141 online resource (204 p.)De Gruyter Studies in Mathematics ;55Description based upon print version of record.3-11-031540-8 Includes bibliographical references and index.Front matter --Contents --Notations --1. Introduction --Part I --2. Some fixed point theorems --3. Preliminaries of real analysis --4. Linear and semilinear elliptic equations --5. Nonlinear elliptic equations --6. Summability of the solutions --7. H2 regularity for linear problems --8. Spectral analysis for linear operators --9. Calculus of variations and Euler's equation --Part II --10. Natural growth problems --11. Problems with low summable sources --12. Uniqueness --13. A problem with polynomial growth --14. A problem with degenerate coercivity --Bibliography --IndexElliptic partial differential equations is one of the main and most active areas in mathematics. This book is devoted to the study of linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solutions. For this reason this monograph is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field.De Gruyter Studies in MathematicsDifferential equations, EllipticDifferential equations, PartialDirichlet Problems for Elliptic Equations.Distributional Solution.Entropy Solutions.Leray-Lions Problem.Nonlinear Elliptic Partial Differential Equations in Divergence Form.Sobolev Space.Differential equations, Elliptic.Differential equations, Partial.515/.3533SK 560rvkBoccardo L(Lucio)740433Croce Gisella740434MiAaPQMiAaPQMiAaPQBOOK9910819779203321Elliptic partial differential equations1468040UNINA