Multiple Solutions To A Kind Of Quasilinear Schr?dinger Equation

In this dissertation,we study the quasilinear Schrodinger equation where 1/2<α≤1,0<V(x)∈ C(RN,R)is a given potential;μ/|x|2 is a Hardy potential with 0≤μ<μ=(N-2)2/4.Under some suitable assumptions,we obtain the existence of infinitely many nontrivial solutions by dual approach and symmetric Mountain Pass theorem.