p-Laplace Equation in the Heisenberg Group Regularity of Solutions /

• Main Author: Ricciotti, Diego (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Differential equations.; Ordinary Differential Equations.

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 pres...

Table of Contents:

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