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

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

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.

About This Edition

ISBN: 9783031640902
Publication date:
Author: Mikhail Borsuk
Publisher: Birkhauser an imprint of Springer Nature Switzerland
Format: Paperback
Pagination: 332 pages
Series: Frontiers in Mathematics
Genres: Differential calculus and equations
Functional analysis and transforms

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