Liouville results for $m$-Laplace equations of Lane–Emden–Fowler type

We consider sign changing solutions of the equation −\mathrm{\Delta }_{m}(u) = |u|^{p−1}u in possibly unbounded domains or in \mathbb{R}^{N} . We prove Liouville type theorems for stable solutions or for solutions which are stable outside a compact set. The results hold true for m > 2 and m−1 < p < ... View More