We consider the classical Brezis-Nirenberg problem in the unit ball of ℝ N, N ≥ 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.
Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions
Iacopetti A.;Pacella F.
2015-01-01
Abstract
We consider the classical Brezis-Nirenberg problem in the unit ball of ℝ N, N ≥ 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.
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