In this note we prove a trace theorem in fractional spaces with variable exponents. To be more precise, we show that if p: Ω × Ω → (1,∞) and q : ∂Ω → (1,∞) are continuous functions such that (n − 1)p(x, x) n − sp(x, x) > ...

We establish a Liouville type theorem for the fractional Lane-Emden system: {(-Delta)(alpha)u = v(q) in R-N, (-Delta)(alpha)v = u(p) in R-N, where alpha is an element of (0, 1), N > 2 alpha and p, q are positive real numbers ...