  In this paper we prove the Liouville type theorem for stable at infinity
solutions of the following equation $$\Delta_{m}^{3}u =|u|^{\theta-1}u\;\;\;
\mbox{in}\,\, \mathbb{R}^N,$$
  for $1<m-1<\theta<\theta_{s, m}:=\frac{N(m-1)+3m }{N-3m}.$ Here $\theta_{s,
m}$ is a the classic critical exponent for $m-$ bi-harmonic equation.

Analysis of PDEs