Liouville-type theorems for sign-changing solutions to nonlocal elliptic inequalities and systems with variable-exponent nonlinearities

Ahmad Z. Fino, Mohamed Jleli, Bessem Samet

We consider the fractional elliptic inequality with variable-exponent nonlinearity $$(-\Delta {)}^{\frac{\alpha }{2}}u+\lambda \Delta u\ge |u{|}^{p(x)},x\in {\mathbb{R}}^N,$$ where $N\ge 1$, $α\in (…