03158nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001700186072002300203072001600226100008500242245012600327250001800453264007300471300006400544336002600608337002600634338003600660347002400696490004100720505079300761520076801554650002802322650002502350650002802375650002502403710003402428773002602462776003602488776003602524830004802560856004602608912001402654912001502668999001702683978-3-031-64091-9DE-He21320251030113247.0cr nn 008mamaa241027s2024    sz |    s    |||| 0|eng d  a97830316409199978-3-031-64091-97 a10.1007/978-3-031-64091-92doi 4aQA370-380 7aPBKJ2bicssc 7aMAT0070002bisacsh 7aPBKJ2thema1 aBorsuk, Mikhail.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98668710aInterface Problems for Elliptic Second-Order Equations in Non-Smooth Domainsh[electronic resource] /cby Mikhail Borsuk.  a2nd ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Birkhäuser,c2024.  aXIV, 334 p. 14 illus., 9 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aFrontiers in Mathematics,x1660-80540 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.  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. 0aDifferential equations. 0aFunctional analysis.14aDifferential Equations.24aFunctional Analysis.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303164090208iPrinted edition:z9783031640926 0aFrontiers in Mathematics,x1660-805497222840uhttps://doi.org/10.1007/978-3-031-64091-9  aZDB-2-SMA  aZDB-2-SXMS  c64532d64532