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arXiv · 1411.1090

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

Alessandro Iacopetti·Filomena Pacella
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Abstract

We consider the classical Brezis-Nirenberg problem in the unit ball of $\mathbb{R}^N$, $N\geq 3$ 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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Alessandro Iacopetti, Filomena Pacella. 2014-11-04. Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions. https://arxiv.org/abs/1411.1090

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