p-Laplace Equation in the Heisenberg Group

Regularity of Solutions
1. Auflage 2015
ISBN: 978-3-319-23789-3
Verlag: Springer International Publishing

Buch, Englisch, 87 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1708 g

Reihe: SpringerBriefs in Mathematics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Ricciotti, Diego

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

1 Introduction.- 2 The Heisenberg Group.- 3 The p-Laplace Equation.- 4 C1 regularity for the non-degenerate equation.- 5 Lipschitz Regularity.