Multiplicity of positive solutions for a fractional Laplacian equations involving critical nonlinearity

Jinguo Zhang, Xiaochun Liu, Hongying Jiao

In this paper we deal with the multiplicity of positive solutions to the fractional Laplacian equation \begin{equation*} (-Δ)^{\fracα{2}} u=λf(x)|u|^{q-2}u+|u|^{2^{*}_α-2}u, \quad\…