Publications and preprints (in pdf) in reverse chronological oder

  1. Best constants for weighted Hardy inequalities in the exterior of balls and circular cylinders. , submitted
    S. Filippas, A. Tertikas.

  2. Liouville type properties for a class of weighted anisotropic elliptic equations. , submitted
    S. Filippas, L. Moschini, A. Tertikas.

  3. Estimates on the velocity of a rigid body moving in a fluid.
    Nonlinear Analysis rwa , 77, (2024).
    S. Filippas, A. Tersenov

  4. On vector fields describing the 2d motion of a rigid body in a viscous fluid and applications.
    J. Math. Fluid Mech. , 23, No. 1, Paper No. 5, 24 p. (2021).
    S. Filippas, A. Tersenov

  5. Correction to: Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian.
    Arch. Ration. Mech. Anal., 229(3) (2018), 1281--1286.
    S. Filippas, L. Moschini, A. Tertikas.

  6. Sharp Hardy and Hardy--Sobolev inequalities with point singularities on the boundary.
    J. Math. Pures Appl., 117, (2018), 146--184
    G. Barbatis S. Filippas, A. Tertikas.

  7. The Hardy-Morrey & Hardy-John-Nirenberg inequalities involving distance to the boundary.
    J. Differ. Equations 261, No. 6, 3107-3136 (2016).
    S. Filippas; G. Psaradakis

  8. Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities.
    Calc. of Variations and PDEs, 54, No. 3, (2015) 2465-2481.
    J. Dolbeault, M. Esteban, S. Filippas, A. Tertikas.

  9. Trace Hardy-Sobolev-Maz'ya inequalities for the half fractional Laplacian.
    Commun. Pure Appl. Anal. 14 (2015), no. 2, 373--382.
    S. Filippas, L. Moschini, A. Tertikas.

  10. Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian.
    Arch. Ration. Mech. Anal. 208 (2013), no. 1, 109--161.
    S. Filippas, L. Moschini, A. Tertikas.

  11. A logarithmic Hardy inequality.
    J. Funct. Anal. 259, (2010), 2045--2072.
    M. del Pino, J. Dolbeault, S. Filippas, A. Tertikas.

  12. Optimal Hardy-Sobolev-Maz'ya inequalities with multiple interior singularities.
    Around the research of Vladimir Maz'ya, A. Laptev (ed.), International Mathematical Series, 11, (2010), 137--160
    S. Filippas, A. Tertikas., J. Tidblom

  13. On the best constant of Hardy--Sobolev Inequalities.
    Nonlinear Analysis TMA, 70, (2009), 2826--2833
    Adimurthi S. Filippas, A. Tertikas.

  14. Improving $L^2$ estimates to Harnack inequalities,
    Proc. London Math. Soc., 99(2), (2009), 326-352 .
    S. Filippas, L. Moschini, A. Tertikas.

  15. On the structure of Hardy-Sobolev-Maz'ya inequalities.
    J. Eur. Math. Soc., 11(6), (2009), 1165-1185
    S. Filippas, A. Tertikas., J. Tidblom

  16. On a class of weighted anisotropic Sobolev inequalities.
    J. Funct. Anal. 255(1), (2008), 90--119.
    S. Filippas, L. Moschini, A. Tertikas.

  17. Sharp two-sided heat kernel estimates for critical Schrodinger operators on bounded domains,
    . Comm. Math. Physics, 273, no. 1, (2007), 237--281.
    S. Filippas, L. Moschini, A. Tertikas.

  18. Critical Hardy-Sobolev Inequalities.
    J. Math. Pures Appl. (9), 87(1), (2007), 37-56.
    S. Filippas, V. Maz'ya, A. Tertikas.

  19. Positive solutions of a Neumann problem with competing critical nonlinearities.
    Topol. Methods Nonlinear Anal., 28, (2006), 1-31.
    J. Chabrowski, S. Filippas, A. Tertikas.

  20. On the evolution of semi--classical Wigner function in higher dimensions.
    European J. Appl. Math., 17, (2006), no 1, 33--62.
    S. Filippas, G. N. Makrakis.

  21. On a question of Brezis and Marcus.
    Calc. Var. Partial Differential Equations, 25, (2006), no 4, 491--501.
    S. Filippas, V. Maz'ya, A. Tertikas.

  22. Sharp Hardy Sobolev inequalities.
    . C. R. Acad. Sci. Paris Sr. I Math., 339, (2004), no 7, 483--486.
    S. Filippas, V. Maz'ya, A. Tertikas.

  23. Critical heat kernel estimates for Schrodinger operators via Hardy--Sobolev inequalities.
    J. Funct. Anal., 208, (2004), 1--30.
    G. Barbatis S. Filippas, A. Tertikas.

  24. A unified approach to improved $L^p$ Hardy inequalities with best constants.
    Trans. Amer. Math. Soc., 356, (2004), 2169--2196.
    G. Barbatis S. Filippas, A. Tertikas.

  25. Semiclassical Wigner function and geometrical optics.
    Multiscale Model. Simul., 1, (2003), no 4, 674--710.
    S. Filippas, G. N. Makrakis.

  26. Refined geometric $L^p$ Hardy inequalities.
    Commun. Contemp. Math., 5, (2003), no 6, 869--881.
    G. Barbatis S. Filippas, A. Tertikas.

  27. Series expansion for $L^p$ Hardy inequalities.
    Indiana Univ. Math. J., 52, (2003), 171--190.
    G. Barbatis S. Filippas, A. Tertikas.

  28. Optimizing improved Hardy inequalities.
    J. Funct. Anal., 192, (2002), 186--233.
    Corrigendum to ``Optimizing improved Hardy inequalities",
    J.F.A. (2008).
    S. Filippas, A. Tertikas.

  29. Fast blowup mechanisms for sign changing solutions of a semilinear parabolic equation with critical nonlinearity
    Proc. Royal Soc. London A, 456, (2000), 2957--2982.
    S. Filippas, M.A. Herrero, J.J.L. Velazquez

  30. On similarity solutions of a heat equation with a nonhomogeneous nonlinearity.
    J. Diff. Eqns., 165, (2000), 468--492.
    S. Filippas, A. Tertikas.

  31. Compactness and single point blowup of positive solutions on bounded domains.
    Proc. Royal Soc. Edinburgh A, 127, (1997), 47--65.
    S. Filippas , F. Merle

  32. Modulation theory for the blowup of nonlinear vector valued heat equations.
    J. Diff. Equns, 116, (1995), no 1, 119--148.
    S. Filippas , F. Merle

  33. Quenching profiles for one dimensional semilinear heat equations.
    Quart. of Applied Math., 51, (1993), no 4, 713--729.
    S. Filippas , J. S. Guo

  34. On the blowup of multidimensional semilinear heat equations.
    . Annales de l' I.H.P., analyse nonlineaire, 10, (1993), no 3, 313--344.
    S. Filippas , W. Liu

  35. Refined asymptotics of $u_t=\Delta u + u^p$.
    Comm. Pure Appl. Math., 45, (1992), 821--869.
    S. Filippas , R. V. Kohn