Publications and preprints

  1. (with A. Tertikas) Sobolev improvements on sharp Rellich inequalities
    J. Spectral Theory, to appear
  2. The Hardy constant: a review
    To appear in "Modern Problems in PDEs and Applications - Extended Abstracts of the 2023 GAP Center Summer School", Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Springer. Eds: M. Chatzakou, J. Restrepo, M. Ruzhansky, B. Torebek, K. Van Bockstal
  3. (with K. Gkikas and A Tertikas) Heat and Martin kernel estimates for Schrödinger operators with critical Hardy potentials
    Math. Ann., online first version
  4. (with P. Branikas) Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols
    Electron. J. Differential Equations 2022 (2022), No. 76, 1-11
  5. (with M. Paschalis) Finsler-Rellich inequalities involving the distance to the boundary
    Proc. Amer. Math. Soc. 150 (2022) 1647-1655
  6. (with A. Tertikas) Best Sobolev constants in the presence of sharp Hardy terms in Euclidean and hyperbolic space
    Bull. Hellenic Math. Soc. 63 (2019) 64-96
  7. (with P. Branikas) On the heat kernel of a class of fourth order operators in two dimensions: sharp Gaussian estimates and short time asymptotics
    J. Differential Equations 265 (2018) 5237-5261
  8. (with S. Filippas and A. Tertikas) Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary
    J. Math. Pures Appl. 117 (2018) 146-184
  9. Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials
    Proc. Amer. Math. Soc. 145 (2017) 191-200
  10. (with P.D. Lamberti) Monotonicity, continuity and differentiability results for the Lp Hardy constant
    Israel Journal of Mathematics 215 (2016) 1011-1024
  11. (with A. Tertikas) On the Hardy constant of some non-convex planar domains
    In: `Geometric Methods in PDE's' , Springer INdAM Series, Citti, G., Manfredini, M., Morbidelli, D., Polidoro, S., Uguzzoni, F. (eds.), Springer 2015
  12. (with I.G. Stratis and A.N. Yannacopoulos) Homogenization of random elliptic systems with an application to Maxwell's equations
    Math. Models Methods Appl. Sci. 25 (2015) 1365-1388
  13. (with P.D. Lamberti) Shape sensitivity analysis of the Hardy constant
    Nonlinear Analysis 103 (2014) 98-112
  14. (with A. Tertikas) On the Hardy constant of non-convex planar domains: the case of the quadrilateral
    J. Funct. Anal. 266 (2014) 3701-3725
  15. (with F. Gazzola) Higher order linear parabolic equations
    Contemporary Mathematics 594 (2013) 77-97
  16. (with J.M. Arrieta) Stability estimates in H10 for solutions of elliptic equations in varying domains
    Math. Methods Appl. Sci. 37 (2014) 180-186
  17. (with P.D. Lamberti) Spectral stability estimates for elliptic operators subject to domain transformations with non-uniformly bounded gradients
    Mathematika 58 (2012) 324-348
  18. (with V. Burenkov and P.D. Lamberti) Stability estimates for resolvents, eigenvalues and eigenfunctions of elliptic operators on variable domains
    In: `Around the Research of Vladimir Maz'ya II' , International Mathematical Series, Laptev A. (ed.), Vol 12, Springer 2010
  19. (with L. Parnovski) Bethe-Sommerfeld conjecture for pseudodifferential perturbation
    Comm. Partial Differential Equations 34 (2009) 383-418
  20. Boundary decay estimates for solutions of fourth-order elliptic equations
    Ark. Mat. 45 (2007) 197-219
  21. Best constants for higher-order Rellich inequalities in Lp(Ω)
    Math. Z. 255 (2007) 877-896
  22. Trace estimates and invariance of the essential spectrum
    Arch. Math. (Basel) 87 (2006) 343-349
  23. Improved Rellich inequalities for the polyharmonic operator
    Indiana Univ. Math. J. 55 (2006) 1401-1422
  24. (with A. Tertikas) On a class of Rellich inequalities
    J. Comp. Appl. Math. 194 (2006) 156-172
  25. (with I. Stratis) Homogenization in chiral elasticity. In: Mathematical Methods in Scattering Thery and Biomedical Engineering
    World Scientific, New Jersey, 2006 (eds. D. I. Fotiadis and C. V. Massalas), 94-103
  26. Sharp heat kernel estimates for higher-order operators with singular coefficients
    Proc. Edinburgh Math. Soc. 47 (2004) 53-67
  27. (with S. Filippas and A. Tertikas) Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities
    J. Funct. Anal. 208 (2004) 1-30
  28. (with I. Stratis) Homogenization of Maxwell's equations in linear dispersive bianisotropic media.
    In: Advances in Scattering and Biomedical Engineering, World Scientific, New Jersey, 2004 (eds. D. I. Fotiadis and C. V. Massalas), 196-204
  29. (with S. Filippas and A. Tertikas) Refined geometric Lp Hardy inequalities
    Commun. Contemp. Math. 5 (2003) 869-881
  30. (with I. Stratis) Homogenization of Maxwell's equations in dissipative bianisotropic media
    Math. Methods Appl. Sci. 26 (2003) 1241-1253
  31. (with S. Filippas and A. Tertikas) Series expansion for Lp Hardy inequalities
    Indiana Univ. Math. J. 52 (2003) 171-190
  32. (with S. Filippas and A. Tertikas) A unified approach to improved Lp Hardy inequalities with best constants
    Trans. Amer. Math. Soc. 356 (2004) 2169-2196
  33. Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients
    J. Differential Equations 174 (2001) 442-463
  34. On the approximation of Finsler metrics on Euclidean domains
    Proc. Edinburgh Math. Soc. 42 (1999) 589-609
  35. Stability and regularity of higher-order elliptic operators with measurable coefficients
    J. London Math. Soc. 58 (1998) 242-252
  36. Spectral theory of singular elliptic operators with measurable coefficients
    J. Funct. Anal. 155 (1998) 125-152
  37. Sharp heat kernel bounds and Finsler-type metrics
    Quart. J. Math. Oxford Ser. 49 (1998) 261-277
  38. (with E.B. Davies) Sharp bounds on heat kernels of higher order uniformly elliptic operators
    J. Operator Theory 36 (1996) 179-198
  39. Stability of weighted Laplace-Beltrami operators under Lp- perturbation of the Riemannian metric
    J. Anal. Math. 68 (1996) 253-276
  40. Spectral stability under Lp- perturbation of the second-order coefficients
    J. Differential Equations 124 (1996) 303-323

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