Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
Author | : Mikhail Borsuk |
Publisher | : Birkhäuser |
Total Pages | : 0 |
Release | : 2024-09-11 |
ISBN-10 | : 303164090X |
ISBN-13 | : 9783031640902 |
Rating | : 4/5 (0X Downloads) |
Book excerpt: 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.