Guozhen Lu

activity

20232026

most cited

L^{p}

-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

2 citations · 2 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.AP2023

$L^{p}$ -Hardy identities and inequalities with respect to the distance and mean distance to the boundary

Joshua Flynn, Nguyen Lam, Guozhen Lu

Firstly, this paper establishes useful forms of the remainder term of Hardy-type inequalities on general domains where the weights are functions of the distance to the boundary. Fo…

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-Hardy identities and inequalities with respect to the distance and mean distance to the boundary

Lp-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

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

$L^{p}$ -Hardy identities and inequalities with respect to the distance and mean distance to the boundary

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