On a Fractional p-Laplacian Problem with Discontinuous Nonlinearities

Critical Fractional p -Laplacian System with Negative Exponents

“…We combine critical problems with negative exponents. Note that the energy functional corresponding to (1) is not differentiable in the sense of Gâteaux; the method used in [1,2,4,[14][15][16][17][18][19][20] cannot be applied to our problem directly. Since p ≠ 2, we cannot also extend the methods used in a single equation with critical and negative exponents [21,22] when p = 2 to problem (1).…”