Solutions To A Class Of Quasilinear Schr(?)dinger Equation

This paper mainly studies the quasilinear Schrodinger equation with critical or super-critical exponents and concave term:where N≥3,λ,μ>0,V(x)∈C(RN,R),f,h∈C(R,R).The nonlinearity-λf(u)+h(u)+μ|μ|p-2u involves critical or supercritical exponents and concave term.The existence of solutions of the equation when κ<0 or κ>0 is obtained by means of variable substitution,truncation technique and Mountain pass theorem under appropriate conditions.