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math.AP2021★ 6 cited
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…
math.AP2015★ 11 cited
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…
math.AP2011
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…