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p-Laplace equation in the Heisenberg group regularity of solutions / [electronic resource] :

  • 作者: Ricciotti, Diego.
  • 其他作者:
  • 其他題名:
    • SpringerBriefs in mathematics,
  • 出版: Cham : Springer International Publishing :Imprint: Springer
  • 叢書名: SpringerBriefs in mathematics,
  • 主題: Laplacian operator. , Harmonic functions , Mathematics , Ordinary Differential Equations.
  • ISBN: 9783319237909 (electronic bk.) 、 9783319237893 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: 1 Introduction -- 2 The Heisenberg Group -- 3 The p-Laplace Equation -- 4 C1 regularity for the non-degenerate equation -- 5 Lipschitz Regularity.
  • 摘要註: 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.
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  • 系統號: 005137952 | 機讀編目格式
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