Abstract
Abstract We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first s s coordinate directions and of power p p , with 1 < p < 2 1\lt p\lt 2 along the other ( N − s ) \left(N-s) ones. First, we begin our investigation by assuming that the solution is bounded only from below, deriving a rigidity result for the range p + ( N − s ) ( p − 2 ) > 0 p+\left(N-s)\left(p-2)\gt 0 of non-degeneration, which is a purely parabolic shade. Then we break free from this constraint at the price of assuming the solution to be bounded also from above.
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