English

On some divergence-form singular elliptic equations with codimension-two boundary: $L^p$-estimates

Analysis of PDEs 2025-10-09 v1

Abstract

We establish a global weighted LpL^p estimate for the gradient of the solution to a divergence-form elliptic equations, where the coefficients are in a weighted VMO space and the equations have singularities on a co-dimension two boundary.

Keywords

Cite

@article{arxiv.2510.06716,
  title  = {On some divergence-form singular elliptic equations with codimension-two boundary: $L^p$-estimates},
  author = {Jie Ji and Jingang Xiong},
  journal= {arXiv preprint arXiv:2510.06716},
  year   = {2025}
}

Comments

30pages

R2 v1 2026-07-01T06:23:12.380Z