The Liouville theorem on H-type groups
Abstract
In this paper we obtain a Liouville type theorem to the semilinear subcritical elliptic equation on H-type groups. The semilinear subcritical elliptic equation studied in this paper is a generalization of a classical semilinear subcritical elliptic equation on the Heisenberg group. The proofs are based on an a priori integral estimate and a generalized differential identity which found by Jerison and Lee [J. Diff. Geom, 29 (1989)].
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