LEADER 03435nam 2200745 450 001 9910819779203321 005 20211208221442.0 010 $a3-11-031542-4 024 7 $a10.1515/9783110315424 035 $a(CKB)2670000000495159 035 $a(EBL)1480458 035 $a(OCoLC)862049177 035 $a(SSID)ssj0001040478 035 $a(PQKBManifestationID)11584451 035 $a(PQKBTitleCode)TC0001040478 035 $a(PQKBWorkID)11001022 035 $a(PQKB)11691807 035 $a(MiAaPQ)EBC1480458 035 $a(DE-B1597)209291 035 $a(OCoLC)881296455 035 $a(OCoLC)990528476 035 $a(DE-B1597)9783110315424 035 $a(Au-PeEL)EBL1480458 035 $a(CaPaEBR)ebr10811263 035 $a(CaONFJC)MIL808137 035 $a(PPN)182941744 035 $a(EXLCZ)992670000000495159 100 $a20130723h20142014 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aElliptic partial differential equations $eexistence and regularity of distributional solutions /$fLucio Boccardo, Gisella Croce 210 1$aBoston ;$aBerlin :$cDe Gruyter Mouton,$d[2014] 210 4$dİ2014 215 $a1 online resource (204 p.) 225 0 $aDe Gruyter Studies in Mathematics ;$v55 300 $aDescription based upon print version of record. 311 0 $a3-11-031540-8 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tNotations --$t1. Introduction --$tPart I --$t2. Some fixed point theorems --$t3. Preliminaries of real analysis --$t4. Linear and semilinear elliptic equations --$t5. Nonlinear elliptic equations --$t6. Summability of the solutions --$t7. H2 regularity for linear problems --$t8. Spectral analysis for linear operators --$t9. Calculus of variations and Euler's equation --$tPart II --$t10. Natural growth problems --$t11. Problems with low summable sources --$t12. Uniqueness --$t13. A problem with polynomial growth --$t14. A problem with degenerate coercivity --$tBibliography --$tIndex 330 $aElliptic partial differential equations is one of the main and most active areas in mathematics. This book is devoted to the study of linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solutions. For this reason this monograph is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field. 410 3$aDe Gruyter Studies in Mathematics 606 $aDifferential equations, Elliptic 606 $aDifferential equations, Partial 610 $aDirichlet Problems for Elliptic Equations. 610 $aDistributional Solution. 610 $aEntropy Solutions. 610 $aLeray-Lions Problem. 610 $aNonlinear Elliptic Partial Differential Equations in Divergence Form. 610 $aSobolev Space. 615 0$aDifferential equations, Elliptic. 615 0$aDifferential equations, Partial. 676 $a515/.3533 686 $aSK 560$2rvk 700 $aBoccardo$b L$g(Lucio)$0740433 701 $aCroce$b Gisella$0740434 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819779203321 996 $aElliptic partial differential equations$91468040 997 $aUNINA