Frontiers in Mathematics

Borsuk, Mikhail

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.

Details

Published by: Birkhäuser

Publication Date: 2024-10-27

Format: Paperback

ISBN-13: 9783031640902

DOI: 10.1007/978-3-031-64091-9

Dimensions: 240cm x168cm

Pages: 334