| Subject: | Mathematical Analysis |
| Degree: | Department of Αpplied Mathematics / University of Crete |
| PhD: | Department of Mathematics / University of Crete PhD Thesis: Hardy and Hardy-Sobolev Inequalities and Their Applications |
| Research Interests: | Partial Differential Equations, Nonlinear Analysis, Potential Theory, Hardy Inequalities, Calculus of Variations |
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| Contact with students: | |
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| E-mail: | kongkikas@uth.gr |
| Personal Webpage: | https://sites.google.com/view/konstantinos-t-gkikas/home |
Konstantinos Gkikas holds a B.Sc. in Applied Mathematics from the Department of Applied Mathematics of the University of Crete, an M.Sc. in Pure Mathematics from the Departments of Mathematics and Applied Mathematics of the University of Crete, and a Ph.D. in Mathematics from the Department of Mathematics of the University of Crete. His research interests focus on the Analysis of Partial Differential Equations.
Within the framework of the program “Acquisition of Academic Teaching Experience for Young Ph.D. Holders,” he served as an adjunct professor at the Department of Mathematics of the National and Kapodistrian University of Athens (NKUA) from 2018 to 2020.
As a Postdoctoral Researcher, he has conducted research at the University of Tours in France (2011–2012), the University of Chile (2012–2016), and NKUA (2021–2023).
He was the Principal Investigator for the research project titled “Nonlinear Elliptic Problems With Hardy Type Potentials And Multiple-Layer Solutions To Parabolic Allen-Cahn Equation,” funded by the Hellenic Foundation for Research and Innovation (H.F.R.I.) under the “2nd Call for H.F.R.I. Research Projects to Support Postdoctoral Researchers” (2020–2024).
He served as a faculty member at the Department of Mathematics of the University of the Aegean (2023–2026).
He has authored 25 articles in peer-reviewed international journals, acts as a reviewer for numerous international scientific journals, and has delivered many lectures at international scientific conferences and university seminars.
- (with P.-T. Nguyen) Elliptic Schrödinger equations with gradient-dependent nonlinearity and Hardy potential singular on manifolds, J Geom Anal 35, 212 (2025).
- (with M. Paschalis) Semilinear Schrödinger equations with Hardy potentials involving the distance to a boundary submanifold and gradient source nonlinearities. Nonlinear Differ. Equ. Appl. 32, 13 (2025).
- (with G. Barbatis and A. Tertikas) Heat and Martin kernel estimates for Schrödinger operators with critical Hardy potentials, Math. Ann. (2023).
- (with P.-T. Nguyen) Martin kernel of Schrödinger operators with singular potential and application to the B.V.P. for linear elliptic equations, Calc. Var. (2022).
- (with G. Psaradakis) Optimal non-homogeneous improvements for the series expansion of Hardy’s inequality, Commun. Contemp. Math. 24 (8), 2150031.
- (with M. del Pino) Ancient shrinking spherical interfaces in the Allen-Cahn flow, Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 1, 187-215.
- (with L.Véron) Boundary singularities of solutions of semilinear elliptic equations with critical Hardy potentials, Nonlinear Anal. 121 (2015), 469-540.
- Hardy-Sobolev Inequalities in Unbounded Domains and Heat Kernel Estimates, J. Funct. Anal. 264 (2013), no. 3, 837-893.
