中文

某些准线性椭圆不等式解的孤立奇点的分类

偏微分方程分析 2025-07-09 v3

摘要

我们给出满足椭圆鞍点不等式 0Δpu(x)τun(p1)np(x),u(x)0,1<p<n,n20\le-\Delta_{p}u(x)\le \tau u^{\frac{n(p-1)}{n-p}} (x),\,u(x)\ge0,\,1<p<n,\,n\ge2 的孤立奇点的渐近行为的完整分类,其中 u(x)C2(B(0,1)\{0})u(x)\in C^2(B(0,1)\backslash\{0\})B(0,1)RnB(0,1)\subset \mathbb R^n

关键词

引用

@article{arxiv.2505.12604,
  title  = {Isolated singularities of solutions of certain quasi-linear elliptic inequalities},
  author = {Shiguang Ma and Shengyang Zang},
  journal= {arXiv preprint arXiv:2505.12604},
  year   = {2025}
}