Anh Xuan Do

activity

20232026

most cited

L^{p}

-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

2 citations · 2 across the 8 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023★ 2 cited

$L^{p}$ -Caffarelli-Kohn-Nirenberg inequalities and their stabilities

Anh Xuan Do, Joshua Flynn, Nguyen Lam +1

We establish a general identity (Theorem 1.2) that implies both the $L^{p}$ -Hardy identities and the $L^{p}$ -Caffarelli-Kohn-Nirenberg identities (Theorems 1.3 and 1.4) and $L^{p}$ …

math.AP2023

A new approach to weighted Hardy-Rellich inequalities: improvements, symmetrization principle and symmetry breaking

Anh Xuan Do, Nguyen Lam, Guozhen Lu

We investigate necessary and sufficient conditions on the weights for the Hardy-Rellich inequalities to hold, and propose a new way to use the notion of Bessel pair to establish th…

Lp-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

A new approach to weighted Hardy-Rellich inequalities: improvements, symmetrization principle and symmetry breaking

$L^{p}$ -Caffarelli-Kohn-Nirenberg inequalities and their stabilities