43 citations · 60 across the 11 of their papers we have counts for
11 papers
-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…
Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives
Cristian Cazacu, Joshua Flynn, Nguyen Lam
The present work has as a first goal to extend the previous results in \cite{CFL20} to weighted uncertainty principles with nontrivial radially symmetric weights applied to curl-fr…
Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on quaternionic hyperbolic spaces and the Cayley hyperbolic plane
Joshua Flynn, Guozhen Lu, Qiaohua Yang
Though Adams and Hardy-Adams inequalities can be extended to general symmetric spaces of noncompact type fairly straightforwardly by following closely the systematic approach devel…
Extendability and the Operator on the Hartogs Triangle
Almut Burchard, Joshua Flynn, Guozhen Lu +1
In this paper it is shown that the Hartogs triangle in is a uniform domain. This implies that the Hartogs triangle is a Sobolev extension domain. Furtherm…
Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities
Cristian Cazacu, Joshua Flynn, Nguyen Lam
This note relies mainly on a refined version of the main results of the paper by F. Catrina and D. Costa (J. Differential Equations 2009). We provide very short and self-contained…
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…
Sharp second order uncertainty principles
Cristian Cazacu, Joshua Flynn, Nguyen Lam
We study sharp second order inequalities of Caffarelli-Kohn-Nirenberg type in the euclidian space , where denotes the dimension. This analysis is equivalent to…
Spin order and dynamics in the diamond-lattice Heisenberg antiferromagnets CuRh2O4 and CoRh2O4
L. Ge, J. Flynn, J. A. M. Paddison +5
Antiferromagnetic insulators on the diamond lattice are candidate materials to host exotic magnetic phenomena ranging from spin-orbital entanglement to degenerate spiral ground-sta…
Connectivity and giant component in random distance graphs
Joshua Flynn, Briana Oshiro, Mary Radcliffe
Various different random graph models have been proposed in which the vertices of the graph are seen as members of a metric space, and edges between vertices are determined as a fu…