Overview
- Accessible to students at the graduate level
- Presents the basic properties of the Heisenberg group in self-contained coverage
- Allows the reader to focus on the core of the theory and techniques in the field
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (5 chapters)
Keywords
About this book
This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg group. In particular, it presents detailed proofs of smoothness for solutions to the non-degenerate equation and of Lipschitz regularity for solutions to the degenerate one. An introductory chapter presents the basic properties of the Heisenberg group, making the coverage self-contained. The setting is the first Heisenberg group, helping to keep the notation simple and allow the reader to focus on the core of the theory and techniques in the field. Further, detailed proofs make the work accessible to students at the graduate level.
Authors and Affiliations
Bibliographic Information
Book Title: p-Laplace Equation in the Heisenberg Group
Book Subtitle: Regularity of Solutions
Authors: Diego Ricciotti
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-23790-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2015
Softcover ISBN: 978-3-319-23789-3Published: 06 January 2016
eBook ISBN: 978-3-319-23790-9Published: 28 December 2015
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XIV, 87
Topics: Ordinary Differential Equations
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