We will study the shape of least-energy solutions to the quasilinear problem εm∆mu−um−1 +f(u) = 0 with homogeneous Neumann boundary condition. We use an intrinsic variation method to show that as ε → 0, the point Pε ∈ ∂Ω where least-energy solution achieves its maximum goes to a point where the mean curvature of ∂Ω achieves its maximum. We also give a complete proof of exponential decay of least-energy solutions. Even for case m=2 our proof is an extension of earlier ones in that the non-degeneracy of the ground state is not required here in our work.