Multiplicity and concentration results for generalized quasilinear Schrödinger equations with nonlocal term

This paper is concerned with the following generalized quasilinear Schrödinger equation with nonlocal term -ε ^2div(g^2(u)∇ u)+ε ^2g(u)g^' (u)|∇ u|^2+V(x)u=ε ^μ -N[|x|^-μ*|u|^p]|u|^p-2u+f(u) for x∈ℝ^N , where N≥ 3 , ε >0 , g: ℝ→ℝ^+ is a bounded C^1 even function, g(0)=1 , g^' (s)≥ 0 for all s≥ 0 , lim _|s|→ +∞g(s)/|s|^α -1:=β >0 for some α∈ [1,2] and (α -1)g(s)≥ g^' (s)s for all s≥ 0 , 2α≤ p< 2α (N-μ )/N-2 , 0<μ 更多