Research

K. Tzirakis, Improving interpolated Hardy and trace Hardy inequalities on bounded domains, Nonlinear Analysis 127 (2015), 17-34.

K. Tzirakis, Sharp trace Hardy-Sobolev inequalities and fractional Hardy-Sobolev inequalities, Journal of Functional Analysis 270 (2016), 4513-4539.

D.C. Antonopoulou, G. Karali, K. Tzirakis, Layer dynamics for the one dimensional ε-dependent Cahn-Hilliard/Allen-Cahn equation, (preprint on arXiv) ,  Calc. Var. 60, 207 (2021).

K. Tzirakis, Series expansion of weighted Finsler-Kato-Hardy inequalities, (preprint on arXiv), Nonlinear Analysis, Volume 222 (2022), 113016.

D.C. Antonopoulou, G. Dewhirst, G. Karali, K. Tzirakis, Local existence of the outer parabolic stochastic Stefan problem on the sphere,  Journal of Differential Equations 423 (2025), 439-475.

G. Karali, K. Tzirakis, I. M. Sigal, The FitzHugh-Nagumo system on undulated cylinders: spontaneous symmetrization and effective system, (e-print on arXiv), Journal of Nonlinear Science 35, 64 (2025).

D.C. Antonopoulou, D. Dimitriou, G. Karali, K. Tzirakis, Malliavin calculus for the one-dimensional stochastic Stefan problem, (preprint on arXiv), submitted.

K. Tzirakis, Caffarelli-Kohn-Nirenberg inequalities on homogeneous Lie groups, submitted.

K. Tzirakis, Stability estimates for fractional Hardy-Schrödinger operators, Chapter: Fixed Point Theory and Chaos, 2023, ISBN 978-1-83768-436-6.

K. Tzirakis, Weighted trace Hardy inequalities with sharp remainder terms, Proceedings of 15th Panhellenic Conference of Mathematical Analysis, 2016.

K. Tzirakis, Optimal Hardy-Sobolev estimates for fractional Hardy-Schrödinger operators on bounded domains, preprint.

K. Tzirakis, Interpolated Hardy-trace Hardy weighted inequalities for anisotropic Laplacian, with sharp Hardy-Sobolev type improvements, preprint.