Liouville theorem for a class semilinear elliptic problem on Heisenberg group

preprint2020arXivOpen access

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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