Concentrating solutions for double critical fractional Schrödinger-Poisson system with p-Laplacian in R3

In this article, we consider the following double critical fractional Schr & ouml;dinger-Poisson system involving p-Laplacian in R-3 of the form: { epsilon (sp) (-Delta)(s) (p)u+V(x)divided by u divided by(p-2) u- phi |u| P- divided by divided by p(s)(*-2)u = divided by u divided by p(s)(*-2)u + f(u ) in R-,(3) epsilon (sp)(-Delta) (s)phi=divided by u divided by p(s)(#) R-3, where epsilon > 0 is a positive parameter, s is an element of (3/4 , 1) 4 , (-Delta)(s)(p)is the fractional p-Laplacian operator, p is an element of(3/2,3) , p* (s) 3p/3- sp (3+2s) is the Sobolev critical exponent, is the upper exponent in the sense of the Hardysp p(s)(#) = p(3+2s)/2( 3-sp) Littlewood-Sobolev inequality, v(x) : R-3 -> 12 symbolizes a continuous potential function with a local minimum, and the continuous function f possesses subcritical growth. With the help of well-known penalization methods and Ljusternik-Schnirelmann category theory, we use the topological arguments to attain the multiplicity and concentration of the positive solutions for the above system.