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A Liouville type theorem to an extension problem relating to the Heisenberg group

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We establish a Liouville type theorem for nonnegative cylindrical solutions to the extension problem corresponding to a fractional CR covariant equation on the Heisenberg group by using the generalized CR… Click to show full abstract

We establish a Liouville type theorem for nonnegative cylindrical solutions to the extension problem corresponding to a fractional CR covariant equation on the Heisenberg group by using the generalized CR inversion and the moving plane method.

Keywords: heisenberg group; type theorem; extension problem; liouville type

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2018

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