Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions

We consider the classical Brezis-Nirenberg problem in the unit ball of R^N , N 65 3 and analyze the asymptotic behavior of nodal radial solutions in the low dimensions N = 3, 4, 5, 6 as the parameter converges to some limit value which naturally arises from the study of the associated ordinary differential equation