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

Jie Ji; Jingang Xiong

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arXiv · 2510.06716

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

Jie Ji·Jingang Xiong

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Abstract

We establish a global weighted $L^p$ 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.

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Jie Ji, Jingang Xiong. 2025-10-08. On some divergence-form singular elliptic equations with codimension-two boundary: $L^p$-estimates. https://arxiv.org/abs/2510.06716

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