Liouville theorem for a class semilinear elliptic problem on Heisenberg group

Xi-nan Ma; Qianzhong Ou

doi:10.1016/j.aim.2022.108851

paper

Liouville theorem for a class semilinear elliptic problem on Heisenberg group

arXiv:2011.07749 · doi:10.1016/j.aim.2022.108851

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.