p-Laplace Equation in the Heisenberg Group
Regularity of Solutions
Series: SpringerBriefs in Mathematics;
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22 184 Ft
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Product details:
- Edition number 1st ed. 2015
- Publisher Springer International Publishing
- Date of Publication 6 January 2016
- Number of Volumes 1 pieces, Book
- ISBN 9783319237893
- Binding Paperback
- No. of pages87 pages
- Size 235x155 mm
- Weight 1708 g
- Language English
- Illustrations XIV, 87 p. 0
Categories
Long description:
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.
MoreTable of Contents:
1 Introduction.- 2 The Heisenberg Group.- 3 The p-Laplace Equation.- 4 C1 regularity for the non-degenerate equation.- 5 Lipschitz Regularity.
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