Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
Mikhail Borsuk
Broschiertes Buch

Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

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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 anothe...