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

• Κύριος συγγραφέας: Ricciotti, Diego (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: 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...

Πίνακας περιεχομένων:

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