ENGLISH

Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains (Frontiers in Mathematics)

By Mikhail Borsuk

Book information

Publisher
Birkhäuser; Second Edition 2024
Year
2024
ISBN
303164090X, 9783031640902
Language
english
Format
PDF
Filesize
7 MB (7239420 bytes)
Edition
2
Pages
348\337
Time added
2024-11-10 13:20:27

Description

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.

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