Multiplicity and concentration results for a class of critical fractional Schrödinger-Poisson systems via penalization method

We deal with the multiplicity and concentration of positive solutions for the following fractional Schrödinger-Poisson-type system with critical growth: (equation required), where > 0 is a small parameter, s (3 4, 1), t (0, 1), (-Δ)α, with α {s,t}, is the fractional Laplacian operator, V is a continuous positive potential and f is a superlinear continuous function with subcritical growth. Using penalization techniques and Ljusternik-Schnirelmann theory, we investigate the relation between the number of positive solutions with the topology of the set where the potential attains its minimum value