| A unified approach to improved L^p Hardy inequalities with best constants G Barbatis, S Filippas, A Tertikas Transactions of the American Mathematical Society 356 (6), 2169-2196, 2004 | 307 | 2004 |
| Series expansion for L^p Hardy inequalities G Barbatis, S Filippas, A Tertikas Indiana University Mathematics Journal 52 (1), 171-190, 2003 | 127 | 2003 |
| Sharp bounds on heat kernels of higher order uniformly elliptic operators G Barbatis, EB Davies Journal of Operator Theory 36, 179-198, 1996 | 68 | 1996 |
| Homogenization of Maxwell's equations in dissipative bianisotropic media G Barbatis, IG Stratis Mathematical Methods in the Applied Sciences 26 (14), 1241-1253, 2003 | 50 | 2003 |
| On a class of Rellich inequalities G Barbatis, A Tertikas Journal of Computational and Applied Mathematics 194 (1), 156-172, 2006 | 48 | 2006 |
| Best constants for higher-order Rellich inequalities in L^p(Ω) G Barbatis Mathematische Zeitschrift 255 (4), 877-896, 2007 | 41 | 2007 |
| Critical heat kernel estimates for Schrödinger operators via Hardy–Sobolev inequalities G Barbatis, S Filippas, A Tertikas Journal of Functional Analysis 208 (1), 1-30, 2004 | 36 | 2004 |
| Improved Rellich inequalities for the polyharmonic operator G Barbatis Indiana University Mathematics Journal 55 (4), 1401-1422, 2006 | 33 | 2006 |
| Stability estimates for resolvents, eigenvalues, and eigenfunctions of elliptic operators on variable domains G Barbatis, VI Burenkov, PD Lamberti Around the Research of Vladimir Maz'ya II: Partial Differential Equations, 23-60, 2009 | 32 | 2009 |
| Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients G Barbatis Journal of Differential Equations 174 (2), 442-463, 2001 | 27 | 2001 |
| Higher order linear parabolic equations G Barbatis, F Gazzola Contemporary Mathematics 594, 77-97, 2013 | 21 | 2013 |
| Refined geometric L^p Hardy inequalities G Barbatis, S Filippas, A Tertikas Communications in Contemporary Mathematics 5 (6), 869-881, 2003 | 21 | 2003 |
| Bethe–Sommerfeld conjecture for pseudodifferential perturbation G Barbatis, L Parnovski Communications in Partial Differential Equations 34 (4), 383-418, 2009 | 20 | 2009 |
| Sharp heat kernel bounds and Finsler-type metrics G Barbatis The Quarterly Journal of Mathematics 49 (3), 261-277, 1998 | 18 | 1998 |
| Sharp Hardy and Hardy–Sobolev inequalities with point singularities on the boundary G Barbatis, S Filippas, A Tertikas Journal de Mathématiques Pures et Appliquées 117 (9), 146-184, 2018 | 16 | 2018 |
| Stability of weighted Laplace-Beltrami operators under L^p perturbation of the Riemannian metric G Barbatis Journal d'Analyse Mathématique 68 (1), 253-276, 1996 | 11* | 1996 |
| Spectral stability under L^p perturbation of the second-order coefficients G Barbatis Journal of Differential Equations 124 (2), 302-323, 1996 | 11 | 1996 |
| Spectral stability estimates for elliptic operators subject to domain transformations with non-uniformly bounded gradients G Barbatis, PD Lamberti Mathematika 58 (2), 324-348, 2012 | 10 | 2012 |
| Sharp heat-kernel estimates for higher-order operators with singular coefficients G Barbatis Proceedings of the Edinburgh Mathematical Society 47 (1), 53-67, 2004 | 10 | 2004 |
| On the Hardy constant of non-convex planar domains: the case of the quadrilateral G Barbatis, A Tertikas Journal of Functional Analysis 266 (6), 3701-3725, 2014 | 9 | 2014 |
Achilles TertikasProfessor of Mathematics and Applied Mathematics, University of CreteVerified email at uoc.gr
