LEADER 03742nam 22006855 450 001 9910900172303321 005 20260121110409.0 010 $a3-031-64091-8 024 7 $a10.1007/978-3-031-64091-9 035 $a(MiAaPQ)EBC31741959 035 $a(Au-PeEL)EBL31741959 035 $a(CKB)36410322500041 035 $a(DE-He213)978-3-031-64091-9 035 $a(EXLCZ)9936410322500041 100 $a20241027d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInterface Problems for Elliptic Second-Order Equations in Non-Smooth Domains /$fby Mikhail Borsuk 205 $a2nd ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2024. 215 $a1 online resource (337 pages) 225 1 $aFrontiers in Mathematics,$x1660-8054 311 08$a3-031-64090-X 320 $aIncludes bibliographical references and index. 327 $a- 1. Preliminaries -- 2. Eigenvalue Problem and Integro-Differential Inequalities -- 3. Best Possible Estimates of Solutions to the Interface Problem for Linear Elliptic Divergence Second Order Equations in a Conical Domain -- 4. Interface Problem for the Laplace Operator with N Different Media -- 5. Interface Problem for Weak Quasi-Linear Elliptic Equations in a Conical Domain -- 6. Interface Problem for Strong Quasi-Linear Elliptic Equations in a Conical Domain -- 7. Best Possible Estimates of Solutions to the Interface Problem for a Quasi-Linear Elliptic Divergence Second Order Equation in a Domain with a Boundary Edge -- 8. Interface Oblique Derivative Problem for Perturbed p(x)-Laplacian Equation in a Bounded n? Dimensional Cone -- 9. Existence of Bounded Weak Solutions. 330 $aThe goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions. Researchers and advanced graduate students will appreciate this compact compilation of new material in the field. 410 0$aFrontiers in Mathematics,$x1660-8054 606 $aDifferential equations 606 $aFunctional analysis 606 $aDifferential Equations 606 $aFunctional Analysis 606 $aCàlcul diferencial$2thub 606 $aSeccions còniques$2thub 606 $aEquacions diferencials el·líptiques$2thub 606 $aParàboles$2thub 606 $aEl·lipsi$2thub 606 $aEquacions en derivades parcials$2thub 608 $aLlibres electrònics$2thub 615 0$aDifferential equations. 615 0$aFunctional analysis. 615 14$aDifferential Equations. 615 24$aFunctional Analysis. 615 7$aCàlcul diferencial 615 7$aSeccions còniques 615 7$aEquacions diferencials el·líptiques 615 7$aParàboles 615 7$aEl·lipsi 615 7$aEquacions en derivades parcials 676 $a516.15 700 $aBorsuk$b Mikhail$0499916 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910900172303321 996 $aInterface Problems for Elliptic Second-Order Equations in Non-Smooth Domains$94214036 997 $aUNINA