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P-Laplace Equation in the Heisenberg Group: Regularity of Solutions

P-Laplace Equation in the Heisenberg Group: Regularity of Solutions

Paperback

Series: Springerbriefs in Mathematics

CalculusGeneral Mathematics

ISBN10: 3319237896
ISBN13: 9783319237893
Publisher: Springer Nature
Published: Jan 6 2016
Pages: 87
Weight: 0.35
Height: 0.22 Width: 6.14 Depth: 9.21
Language: English

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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General Mathematics