Regularity of quasi-linear equations in
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Luca Capogna
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Article
📅
1997
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John Wiley and Sons
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English
⚖ 166 KB
We prove the C α 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.