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math.AP2025
On some divergence-form singular elliptic equations with codimension-two boundary: -estimates
Jie Ji, Jingang Xiong
We establish a global weighted estimate for the gradient of the solution to a divergence-form elliptic equations, where the coefficients are in a weighted VMO space and the e…
math.AP2024
A dual Yamabe flow and related integral flows
Jingang Xiong
We study a family of nonlinear integral flows that involve Riesz potentials on Riemannian manifolds. In the Hardy-Littlewood-Sobolev (HLS) subcritical regime, we present a precise…