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ISSN 1079-6762

Optimal regularity for quasilinear equations in stratified nilpotent Lie groups and applications

Author(s): Luca Capogna
Journal: Electron. Res. Announc. Amer. Math. Soc. 2 (1996), 60-68.
MSC (1991): Primary 35H05
MathSciNet review: 1405970
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Abstract: We announce the optimal $C^{1+\alpha }$ regularity of the gradient of weak solutions to a class of quasilinear degenerate elliptic equations in nilpotent stratified Lie groups of step two. As a consequence we also prove a Liouville type theorem for $1$ -quasiconformal mappings between domains of the Heisenberg group $\mathbb {H}^{n}$ .

References:

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