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arXiv · 2011.07749

Liouville theorem for a class semilinear elliptic problem on Heisenberg group

Xi-nan Ma·Qianzhong Ou
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Abstract

We obtain an entire Liouville type theorem to the classical semilinear subcritical elliptic equation on Heisenberg group. A pointwise estimate near the isolated singularity was also proved. The soul of the proofs is an a priori integral estimate, which deduced from a generalized formula of that found by Jerison and Lee.

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Xi-nan Ma, Qianzhong Ou. 2020-11-16. Liouville theorem for a class semilinear elliptic problem on Heisenberg group. https://doi.org/10.1016/j.aim.2022.108851

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