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＜電子ブック＞
p-Laplace Equation in the Heisenberg Group : Regularity of Solutions / by Diego Ricciotti
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
大きさ	XIV, 87 p : online resource
著者標目	*Ricciotti, Diego author SpringerLink (Online service)
件　名	LCSH:Differential equations FREE:Differential Equations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-23790-9

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