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arXiv · 2607.05128

Classification of singular solutions to the subcritical Lane-Emden equation in $\mathbb{R}^N \setminus \{0\}$

Francesco Esposito·Luigi Muglia·Berardino Sciunzi·Domenico Vuono
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Abstract

We provide a classification result of positive solutions with a non-removable singularity at the origin to the subcritical Lane-Emden equation $-\Delta_p u = u^q$ in $\mathbb{R}^N \setminus \{0\}$, where $p\in(1,N)$, $q\in (p-1,p^*-1)$ and $u^{q-p+1} \in L^{\frac{N}{p}}(\mathbb{R}^N \setminus B_R)$.

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Francesco Esposito, Luigi Muglia, Berardino Sciunzi, Domenico Vuono. 2026-07-06. Classification of singular solutions to the subcritical Lane-Emden equation in $\mathbb{R}^N \setminus \{0\}$. https://arxiv.org/abs/2607.05128

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