Fractional Sobolev–Hardy inequality in RNRN

In this paper, we show that the minimizing problem equation(1)Λs,α=infu∈Ḣs(RN),u≢0∫RN|(−Δ)s2u(x)|2dx(∫RN|u(x)|2s,α∗|x|αdx)22s,α∗ is achieved by a positive, radially symmetric and strictly decreasing function provided 0