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

Abstract

We consider the classical Brezis-Nirenberg problem in the unit ball of ${\mathbb{R}}^N$, $N\ge 3$ 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.