Isolated singularities of solutions of certain quasi-linear elliptic inequalities

Fuente: arXiv
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Autori principali: Ma, Shiguang, Zang, Shengyang
Natura: Preprint
Pubblicazione: 2025
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author Ma, Shiguang
Zang, Shengyang
author_facet Ma, Shiguang
Zang, Shengyang
contents We provide a complete classification of the asymptotic behavior of isolated singularities for solutions satisfying \[ 0\le-Δ_{p}u(x)\le τu^{\frac{n(p-1)}{n-p}} (x),\,\,u(x)\ge0,\,\,1<p<n,\,\,n\ge2, \]where $u(x)\in C^2(B(0,1)\backslash\{0\})$ and $B(0,1)\subset \mathbb R^n$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_12604
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Isolated singularities of solutions of certain quasi-linear elliptic inequalities
Ma, Shiguang
Zang, Shengyang
Analysis of PDEs
We provide a complete classification of the asymptotic behavior of isolated singularities for solutions satisfying \[ 0\le-Δ_{p}u(x)\le τu^{\frac{n(p-1)}{n-p}} (x),\,\,u(x)\ge0,\,\,1<p<n,\,\,n\ge2, \]where $u(x)\in C^2(B(0,1)\backslash\{0\})$ and $B(0,1)\subset \mathbb R^n$.
title Isolated singularities of solutions of certain quasi-linear elliptic inequalities
topic Analysis of PDEs
url https://arxiv.org/abs/2505.12604