p-Laplace Equation in the Heisenberg Group: Regularity of Solutions
p-Laplace Equation in the Heisenberg Group: Regularity of Solutions
Springer | Mathematics | January 29, 2016 | ISBN-10: 3319237896 | 87 pages | pdf | 1.4 mb
Springer | Mathematics | January 29, 2016 | ISBN-10: 3319237896 | 87 pages | pdf | 1.4 mb
Authors: Ricciotti, Diego
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
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.
Topics
Ordinary Differential Equations
More info and Hardcover at Springer
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