03372nam a22005055i 4500 978-3-031-64091-9 DE-He213 20251030113247.0 cr nn 008mamaa 241027s2024 sz | s |||| 0|eng d 9783031640919 978-3-031-64091-9 10.1007/978-3-031-64091-9 doi QA370-380 PBKJ bicssc MAT007000 bisacsh PBKJ thema Borsuk, Mikhail. author. aut http://id.loc.gov/vocabulary/relators/aut 86687 Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains [electronic resource] / by Mikhail Borsuk. 2nd ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XIV, 334 p. 14 illus., 9 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontiers in Mathematics, 1660-8054 - 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. The 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. Differential equations. Functional analysis. Differential Equations. Functional Analysis. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031640902 Printed edition: 9783031640926 Frontiers in Mathematics, 1660-8054 72228 https://doi.org/10.1007/978-3-031-64091-9 ZDB-2-SMA ZDB-2-SXMS 64532 64532