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p-Laplace equation in the Heisenberg...

Ricciotti, Diego.

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p-Laplace equation in the Heisenberg group = regularity of solutions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	p-Laplace equation in the Heisenberg group/ by Diego Ricciotti.
Reminder of title:	regularity of solutions /
Author:	Ricciotti, Diego.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xiv, 87 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Introduction -- 2 The Heisenberg Group -- 3 The p-Laplace Equation -- 4 C1 regularity for the non-degenerate equation -- 5 Lipschitz Regularity.
Contained By:	Springer eBooks
Subject:	Laplacian operator. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-23790-9
ISBN:	9783319237909$q(electronic bk.)

p-Laplace equation in the Heisenberg group = regularity of solutions /
Ricciotti, Diego.

p-Laplace equation in the Heisenberg groupregularity of solutions /[electronic resource] :by Diego Ricciotti. - Cham :Springer International Publishing :2015. - xiv, 87 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

Standard No.: 10.1007/978-3-319-23790-9doiSubjects--Topical Terms:

596177
Laplacian operator.

LC Class. No.: QA406

Dewey Class. No.: 515.53

p-Laplace equation in the Heisenberg group = regularity of solutions /
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100 1 $a Ricciotti, Diego. $3 2165637
245 1 0 $a p-Laplace equation in the Heisenberg group $h [electronic resource] : $b regularity of solutions / $c by Diego Ricciotti.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xiv, 87 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 1 Introduction -- 2 The Heisenberg Group -- 3 The p-Laplace Equation -- 4 C1 regularity for the non-degenerate equation -- 5 Lipschitz Regularity.
520 $a 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.
650 0 $a Laplacian operator. $3 596177
650 0 $a Harmonic functions. $3 596179
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Ordinary Differential Equations. $3 891264
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-23790-9
950 $a Mathematics and Statistics (Springer-11649)