Existence and concentration of normalized solutions for p-Laplacian equations with logarithmic nonlinearity

We investigate the existence and concentration of normalized solutions for a p-Laplacian problem with logarithmic nonlinearity of type {−εpΔpu+V(x)|u|p−2u=λ|u|p−2u+|u|p−2ulog⁡|u|pinRN,∫RN|u|pdx=apεN, where a,ε>0, λ∈R is known as the Lagrange multiplier, Δp⋅=div(|∇⋅|p−2∇⋅) denotes the usual p-Laplacian operator with 2≤p