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arXiv · 2505.12604

Isolated singularities of solutions of certain quasi-linear elliptic inequalities

Shiguang Ma·Shengyang Zang
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Abstract

We provide a complete classification of the asymptotic behavior of isolated singularities for solutions satisfying \[ 0\le-\Delta_{p}u(x)\le \tau u^{\frac{n(p-1)}{n-p}} (x),\,\,u(x)\ge0,\,\,1<p<n,\,\,n\ge2, \]where $u(x)\in C^2(B(0,1)\backslash\{0\})$ and $B(0,1)\subset \mathbb R^n$.

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Shiguang Ma, Shengyang Zang. 2025-05-19. Isolated singularities of solutions of certain quasi-linear elliptic inequalities. https://arxiv.org/abs/2505.12604

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