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p-Laplace Equation in the Heisenberg...
~
Ricciotti, Diego.
p-Laplace Equation in the Heisenberg Group = Regularity of Solutions /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
p-Laplace Equation in the Heisenberg Group/ by Diego Ricciotti.
Reminder of title:
Regularity of Solutions /
Author:
Ricciotti, Diego.
Description:
XIV, 87 p.online resource. :
Contained By:
Springer Nature eBook
Subject:
Differential equations. -
Online resource:
https://doi.org/10.1007/978-3-319-23790-9
ISBN:
9783319237909
p-Laplace Equation in the Heisenberg Group = Regularity of Solutions /
Ricciotti, Diego.
p-Laplace Equation in the Heisenberg Group
Regularity of Solutions /[electronic resource] :by Diego Ricciotti. - 1st ed. 2015. - XIV, 87 p.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.
1 Introduction -- 2 The Heisenberg Group -- 3 The p-Laplace Equation -- 4 C1 regularity for the non-degenerate equation -- 5 Lipschitz Regularity.
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.
ISBN: 9783319237909
Standard No.: 10.1007/978-3-319-23790-9doiSubjects--Topical Terms:
527664
Differential equations.
LC Class. No.: QA372
Dewey Class. No.: 515.352
p-Laplace Equation in the Heisenberg Group = Regularity of Solutions /
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1 Introduction -- 2 The Heisenberg Group -- 3 The p-Laplace Equation -- 4 C1 regularity for the non-degenerate equation -- 5 Lipschitz Regularity.
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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.
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