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p-Laplace equation in the Heisenberg...

Ricciotti, Diego.

p-Laplace equation in the Heisenberg groupregularity of solutions /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	p-Laplace equation in the Heisenberg groupby Diego Ricciotti.
其他題名:	regularity of solutions /
作者:	Ricciotti, Diego.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xiv, 87 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Laplacian operator.
電子資源:	http://dx.doi.org/10.1007/978-3-319-23790-9
ISBN:	9783319237909$q(electronic bk.)

p-Laplace equation in the Heisenberg groupregularity 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:

323933
Laplacian operator.

LC Class. No.: QA406

Dewey Class. No.: 515.53

p-Laplace equation in the Heisenberg groupregularity of solutions /
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245 1 0 $a p-Laplace equation in the Heisenberg group $h [electronic resource] : $b regularity of solutions / $c by Diego Ricciotti.
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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 323933
650 0 $a Harmonic functions. $3 205716
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650 2 4 $a Ordinary Differential Equations. $3 273778
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