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

<p>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 <em>Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains</em> (Birkh��user 2010) this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed <em>p(x)</em>-Laplacian equation in a bounded <em>n</em>-dimensional cone and another about the existence of bounded weak solutions.</p><p>Researchers and advanced graduate students will appreciate this compact compilation of new material in the field.</p>