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

By Mikhail Borsuk

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.

• Format: Paperback
• Language: English
• ISBN: 303164090X
• ISBN13: 9783031640902
• Release Date: October 2024
• Publisher: Birkhauser
• Length: 334 Pages
• Weight: 1.25 lbs.
• Dimensions: 0.7" x 6.7" x 9.4"