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Regularity of quasi-linear equations in the Heisenberg group

✍ Scribed by Luca Capogna

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
166 KB
Volume
50
Category
Article
ISSN
0010-3640

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✦ Synopsis

We prove the C Ξ± regularity of the gradient of weak solutions of a class of quasi-linear equations in nilpotent stratified Lie groups of step two. As applications, we prove higher regularity theorems and a Liouville type theorem for 1-quasi-conformal mappings between domains of the Heisenberg group.

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