Abstract

AbstractWe consider the classical Brezis-Nirenberg problem in the unit ball of \(\mathbb{R}^{N}\), 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.KeywordsSemilinear elliptic equationsCritical exponentSign-changing solutionsAsymptotic behavior

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