11 citations · 17 across the 4 of their papers we have counts for
4 papers
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…
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
Nguyen Lam, Guozhen Lu, Lu Zhang
Sharp Trudinger-Moser inequalities on the first order Sobolev spaces and their analogous Adams inequalities on high order Sobolev spaces play an important role in geometric analysi…
Existence and multiplicity of solutions to equations of Laplacian type with critical exponential growth in
Nguyen Lam, Guozhen Lu
In this paper, we deal with the existence and multiplicity of solutions to the nonuniformly elliptic equation of the N-Lapalcian type with a potential and a nonlinear term of criti…