Nonnegative entire bounded solutions to some semilinear equations involving the fractional Laplacian

Mohamed Ben Chrouda, Mahmoud Ben Fredj

The main goal is to establish necessary and sufficient conditions under which the fractional semilinear elliptic equation ${\Delta }^{\frac{\alpha }{2}}u=\rho (x)\phi (u)$ admits nonnegative nontrivial…