p-Laplace Equation in the Heisenberg Group

Regularity of Solutions

  • Diego┬áRicciotti

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Diego Ricciotti
    Pages 1-6
  3. Diego Ricciotti
    Pages 7-26
  4. Diego Ricciotti
    Pages 27-42
  5. Diego Ricciotti
    Pages 63-85
  6. Back Matter
    Pages 87-87

About this book

Introduction

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.

Keywords

Heisenberg group P-Laplace equation PDE Regularity Subelliptic equations

Authors and affiliations

  • Diego┬áRicciotti
    • 1
  1. 1.Department of MathematicsUniversity of PittsburghPittsburghUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-23790-9
  • Copyright Information The Author(s) 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-23789-3
  • Online ISBN 978-3-319-23790-9
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • About this book
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