Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
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....
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| Edition: | 2nd ed. 2024. |
| Series: | Frontiers in Mathematics,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-031-64091-9 |
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| Summary: | 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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| Physical Description: | XIV, 334 p. 14 illus., 9 illus. in color. online resource. |
| ISBN: | 9783031640919 |
| ISSN: | 1660-8054 |
| DOI: | 10.1007/978-3-031-64091-9 |