Xinhang Tong

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math.CA2025

On $L^{p}$ -Hardy inequalities for magnetic $p$ -Laplacians

Yi C. Huang, Xinhang Tong

In this paper we revisit the remainder terms of $L^{p}$ -Hardy inequalities for magnetic $p$ -Laplacians. In particular, we will give an integral representation of the sharp constant f…

math.CA2025

On a minimisation problem related to the solenoidal uncertainty

Yi C. Huang, Tohru Ozawa, Xinhang Tong

We study Hamamoto's expanding square argument towards a 1-D minimisation problem related to the sharp solenoidal uncertainty principle. Working in the right function space, we reca…

On Lp-Hardy inequalities for magnetic p-Laplacians

On a minimisation problem related to the solenoidal uncertainty

On $L^{p}$ -Hardy inequalities for magnetic $p$ -Laplacians