LEADER 04392nam 2200817 450 001 9910790833303321 005 20230803220645.0 010 $a3-11-030531-3 024 7 $a10.1515/9783110305319 035 $a(CKB)2550000001169801 035 $a(EBL)1130283 035 $a(OCoLC)865329714 035 $a(SSID)ssj0001061428 035 $a(PQKBManifestationID)11665970 035 $a(PQKBTitleCode)TC0001061428 035 $a(PQKBWorkID)11098844 035 $a(PQKB)10279310 035 $a(MiAaPQ)EBC1130283 035 $a(DE-B1597)206867 035 $a(OCoLC)1002271016 035 $a(OCoLC)1004886191 035 $a(OCoLC)1011475408 035 $a(OCoLC)1013948484 035 $a(OCoLC)979584945 035 $a(OCoLC)987945844 035 $a(OCoLC)992527173 035 $a(OCoLC)999366259 035 $a(DE-B1597)9783110305319 035 $a(Au-PeEL)EBL1130283 035 $a(CaPaEBR)ebr10819947 035 $a(CaONFJC)MIL551786 035 $a(EXLCZ)992550000001169801 100 $a20130625h20142014 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear second order elliptic equations involving measures /$fMoshe Marcus, Laurent Ve?ron 210 1$aBerlin ;$aBoston :$cWalter de Gruyter GmbH & Co. KG,$d[2014] 210 4$dİ2014 215 $a1 online resource (264 p.) 225 0 $aDe Gruyter Series in Nonlinear Analysis and Applications ;$v21 225 0$aDe Gruyter series in nonlinear analysis and applications,$x0941-813X ;$v21 300 $aDescription based upon print version of record. 311 $a3-11-030515-1 311 $a1-306-20535-2 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tPreface -- $tContents -- $tChapter 1. Linear second order elliptic equations with measure data -- $tChapter 2. Nonlinear second order elliptic equations with measure data -- $tChapter 3. The boundary trace and associated boundary value problems -- $tChapter 4. Isolated singularities -- $tChapter 5. Classical theory of maximal and large solutions -- $tChapter 6. Further results on singularities and large solutions -- $tBibliography -- $tIndex 330 $aIn the last 40 years semi-linear elliptic equations became a central subject of study in the theory of nonlinear partial differential equations. On the one hand, the interest in this area is of a theoretical nature, due to its deep relations to other branches of mathematics, especially linear and nonlinear harmonic analysis, dynamical systems, differential geometry and probability. On the other hand, this study is of interest because of its applications. Equations of this type come up in various areas such as problems of physics and astrophysics, curvature problems in Riemannian geometry, logistic problems related for instance to population models and, most importantly, the study of branching processes and superdiffusions in the theory of probability. The aim of this book is to present a comprehensive study of boundary value problems for linear and semi-linear second order elliptic equations with measure data. We are particularly interested in semi-linear equations with absorption. The interactions between the diffusion operator and the absorption term give rise to a large class of nonlinear phenomena in the study of which singularities and boundary trace play a central role. This book is accessible to graduate students and researchers with a background in real analysis and partial differential equations. 410 3$aDe Gruyter Series in Nonlinear Analysis and Applications 606 $aDifferential equations, Elliptic 606 $aDifferential equations, Nonlinear 610 $aBoundary trace. 610 $aElliptic equations. 610 $aLarge solutions. 610 $aSingularities. 610 $aSubcritical nonlinearity. 615 0$aDifferential equations, Elliptic. 615 0$aDifferential equations, Nonlinear. 676 $a515/.3533 686 $aSK 540$2rvk 700 $aMarcus$b M$g(Moshe),$f1937-$01358648 701 $aVe?ron$b Laurent$055416 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910790833303321 996 $aNonlinear second order elliptic equations involving measures$93838410 997 $aUNINA