Abstract
We deal with the multiplicity and concentration of positive solutions for the following fractional Schrödinger–Poisson-type system with critical growth: [Formula: see text] where [Formula: see text] is a small parameter, [Formula: see text], [Formula: see text], [Formula: see text], with [Formula: see text], is the fractional Laplacian operator, [Formula: see text] is a continuous positive potential and [Formula: see text] 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have