A Global Compact Result for a Fractional Elliptic Problem with Hardy term and critical non-linearity on the whole space

Lingyu Jin

In this paper, we deal with a fractional elliptic equation with critical Sobolev nonlinearity and Hardy term $$(-\Delta {)}^{\alpha }u-\mu \frac{u}{|x{|}^{2\alpha }}+a(x)u=|u{|}^{2^{\ast }-2}u+k(x)|u{|}^{q-2}u$$ $$…