Research

Publications
  • J. Flynn, N. Lam, G. Lu and S. Mazumdar: Hardy’s Identities and Inequalities on Cartan-Hadamard Manifolds, submitted (2021), accepted to the Journal of Geometric Analysis (2022), arXiv:2103.12788.
  • J. Flynn, N. Lam, G. Lu: Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds, submitted (2021), accepted to the Journal of Functional Analysis (2022)
  • C. Cazacu, J. Flynn and N. Lam: Sharp second order uncertainty principles, to appear Journal of Functional Analysis (2022), arXiv:2012.12667.
  • A. Burchard, J. Flynn, G. Lu and M.-C. Shaw: Extendability and the \bar \partial Operator on the Hartogs Triangle, Mathematische Zeitschrift (2022), 1-22
  • C. Cazacu, J. Flynn and N. Lam: Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities. J. Differential Equations 302 (2021), 533-549.
  • J. Flynn, N. Lam and G. Lu: Sharp Hardy identities and inequalities on Carnot groups. Adv. Nonlinear Stud. 21 (2021), no. 2, 281-302.
  • J. Flynn: Sharp L^{2}–Caffarelli-Kohn-Nirenberg inequalities for Grushin vector fields. Nonlinear Anal. 199 (2020), 111961, 15 pp.
  • J. Flynn: Sharp Caffarelli-Kohn-Nirenberg-type inequalities on Carnot groups. Adv. Nonlinear Stud. 20 (2020), no. 1, 95-111.
Preprints
  • J. Flynn, G. Lu and Q. Yang: Sharp Hardy-Sobolev-Maz’ya, Adams and Hardy-Adams inequalities on quaternionic hyperbolic spaces and the Cayley hyperbolic plane, submitted (2021), arXiv:2106.06055.
  • C. Cazacu, J. Flynn and N. Lam: Sharp Caffarelli-Kohn-Nirenberg Inequalities for Curl-Free Vector Fields and Second Order Derivatives, submitted (2021), accepted after revision in CVPDE arXiv:2111.15067.
  • C. Cazacu, J. Flynn, N. Lam and G. Lu: Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities, submitted (2022) arXiv:2211.14622