The Liouville theorems for elliptic equations with nonstandard growth
  We study solutions and supersolutions of homogeneous and nonhomogeneous $\mathcal{A}$-harmonic equations with nonstandard growth in $\mathbb{R}^n$. Various Liouville-type theorems and nonexistence results are proved. The discussion is illustrated by a number of examples. 
Tomasz Adamowicz, Przemys{\l}aw G\'orka
math.AP