Research

Publications
  • Cazacu, C., Flynn, J., & Lam, N. (2021). Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives. arXiv preprint arXiv:2111.15067. Accepted in CVPDE (2023)
  • Flynn, J., Lam, N., Lu, G., & Mazumdar, S. (2023). Hardy’s Identities and Inequalities on Cartan-Hadamard Manifolds. The Journal of Geometric Analysis, 33(1), 27.
  • Flynn, J., Lam, N., & Lu, G. (2022). Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds. Journal of Functional Analysis, 283(12), 109714.
  • Cazacu, C., Flynn, J., & Lam, N. (2022). Sharp second order uncertainty principles. Journal of Functional Analysis, 283(10), 109659.
  • Burchard, A., Flynn, J., Lu, G., & Shaw, M. C. (2022). Extendability and the \partial operator on the Hartogs triangle. Mathematische Zeitschrift, 301(3), 2771-2792.
  • Cazacu, C., Flynn, J., & Lam, N. (2021). Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities. Journal of Differential Equations, 302, 533-549.
  • Flynn, J., Lam, N., & Lu, G. (2021). Sharp Hardy identities and inequalities on Carnot groups. Advanced Nonlinear Studies, 21(2), 281-302.
  • Flynn, J. (2020). Sharp L2-Caffarelli–Kohn–Nirenberg inequalities for Grushin vector fields. Nonlinear Analysis, 199, 111961.
  • Flynn, J. (2020). Sharp Caffarelli–Kohn–Nirenberg-type inequalities on Carnot groups. Advanced Nonlinear Studies, 20(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, N. Lam and G. Lu: Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities, submitted (2022) arXiv:2211.14622