SpringerBriefs in Mathematics / P-Laplace Equation in the Heisenberg Group
Regularity of Solutions
(Sprache: Englisch)
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...
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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.Inhaltsverzeichnis zu „SpringerBriefs in Mathematics / P-Laplace Equation in the Heisenberg Group “
1 Introduction.- 2 The Heisenberg Group.- 3 The p-Laplace Equation.- 4 C1 regularity for the non-degenerate equation.- 5 Lipschitz Regularity.
Bibliographische Angaben
- Autor: Diego Ricciotti
- 2016, 1st ed. 2015, XIV, 87 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319237896
- ISBN-13: 9783319237893
- Erscheinungsdatum: 06.01.2016
Sprache:
Englisch
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