43 citations · 52 across the 7 of their papers we have counts for
4 papers · 1 filter
-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…
-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 -Hardy identities and the -Caffarelli-Kohn-Nirenberg identities (Theorems 1.3 and 1.4) and …
Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities
Cristian Cazacu, Joshua Flynn, Nguyen Lam +1
We set up a one-parameter family of inequalities that contains both the Hardy inequalities (when the parameter is 1) and the Caffarelli-Kohn-Nirenberg inequalities (when the parame…
Hardy's Identities and Inequalities on Cartan-Hadamard Manifolds
J. Flynn, N. Lam, G. Lu +1
We study the Hardy identities and inequalities on Cartan-Hadamard manifolds using the notion of a Bessel pair. These Hardy identities offer significantly more information on the ex…