p-Laplace equation in the Heisenberg Group : regularity of solutions / by Diego Ricciotti.

Format:

Book

Author/Creator:

Ricciotti, Diego, Author.

Series:

SpringerBriefs in Mathematics, 2191-8198

Language:

English

Subjects (All):

Differential equations.

Ordinary Differential Equations.

Local Subjects:

Ordinary Differential Equations.

Physical Description:

1 online resource (96 p.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2015.

Language Note:

English

Summary:

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.

Contents:

1 Introduction

2 The Heisenberg Group

3 The p-Laplace Equation

4 C1 regularity for the non-degenerate equation

5 Lipschitz Regularity.

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

ISBN:

3-319-23790-X