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Pubblicazioni scientifiche recenti

Models of perceptual completions in Lie groups.

  1. G. Citti, A. Sarti, A cortical based model of perceptual completion in the Roto-Translation space. .

  2. A. Sarti, G. Citti, M. Manfredini, From neural oscillations to variational problems in the visual cortex special issue of the Journal of Physiology, Volume 97, Issues 2-3, Pages 87-385 (2003).

  3. G. Citti, M. Manfredini, Estimate of the fundamental solution of elliptic regularization operators

  4. G. Citti, M. Manfredini, Blow-Up in Non-Homogeneous Lie Groups and Rectifiability , to appear on Houston Journal of Mathematics.

  5. G. Citti, A. Sarti, M.Manfredini A note on the Mumford-Shah in Heisenberg space, preprint.

  6. G.Citti, M.Manfredini e A. Sarti Neuronal oscillation in the visual cortex: Gamma-convergence to the Riemannian Mumford-Shah functional SIAM Jornal of Mathematical Analysis Volume 35, Number 6, 1394 - 1419.

    7. Parabolic equations arising in image processing

  7. G. Citti, M. Manfredini, A degenerate parabolic equation arising in image processing Communication on Applied Analysis, 8, 2004, 1, 125-141.

  8. G. Citti, M. Manfredini, Long time behavior of Riemannian mean curvature flow of graphs, Journal of Mathematical Analysis and Applications, 273 (2002), 353-369.

  9. Sarti, A.; Citti, G. Subjective surfaces and Riemannian mean curvature flow of graphs. Acta Math. Univ. Comenian. (N.S.) 70 (2001), no. 1, 85--103.

    10. Equazione di Levi

  10. G. Citti, G. Tomassini, Levi equation for almost complex structures Revista Matematica Iberoamericana, vol. 20, no. 1, 151-182.

  11. G.Citti., E. Lanconelli e A. Montanari, Smoothness of Lipschitz continuous graphs, with non vanishing Levi curvature. (in collaborazione con ) Acta Math. 188 (2002), no. 1, 87--128.

  12. G.Citti, A. Montanari, Regularity properties of solutions of a class of elliptic-parabolic nonlinear Levi type equations Trans. Amer. Math. Soc. 354 (2002), no. 7, 2819--2848

  13. G.Citti., A. Montanari, Analytic estimates of solutions of the Levi equation J. Differential Equations 173 (2001), no. 2, 356--389.

  14. G.Citti, Regularity of a solution of a nonlinear Hoermander type equation. Nonlinear Anal. 47 (2001), no. 1, 479--489.

  15. G.Citti., A. Montanari, Strong solutions for the Levi curvature equation, Adv. Differential Equations, vol. 5,1-3 (2000), 323-342.

  16. G.Citti., A. Montanari, $C^infty$ regularity of solutions of an equation of Levi's type in R2n+1 , Ann. Mat. Pura Appl. (4) 180 (2001), no. 1, 27--58.

  17. On the smoothness of viscosity solutions of the prescribed Levi-curvature equation, (in collaborazione con E. Lanconel e A. Montanari )Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 10, 1999, 61-68.

  18. Regularity properties of Levi flat graphs, (in collaborazione con A. Montanari ) C. R. Acad. Sci. Paris Sér. Math., 329, serie 1, 1999, 1049-1054.

  19. $C^infty$ regularity of solutions of the Levi equation, Ann. Inst. H. Poincare, Anal. non Linéaire, 15, 4, 1998, 517-534.

  20. $C^infty$ regularity of solutions of a quasilinear equation related to the Levi operator, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 23, 1996, 483-529.

  21. A comparison theorem for the Levi equation, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 5, 3, 1993, 207-212.

    22. Somme di quadrati di campi vettoriali

  22. On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance (in collaborazione con A. Pascucci e S. Polidoro ) Diff. Int. Eq, 14 (2001), 701-738

  23. Regularity properties of viscosity solutions of a non-H\"ormander degenerate equation (in collaborazione con A. Pascucci, S. Polidoro) J. Math. Pures Appl. (9) 80 (2001), no. 9, 901--918.

  24. Hölder regularity of the solutions for operators which are sum of squares of vector fields plus a potential, (in collaborazione con G. Di Fazio ), Proc. Amer. Math. Soc., 122, 1994, 741-750.

  25. Harnack's inequality for sum of squares of vector fields plus a potential, (con N. Garofalo, E. Lanconelli), Amer. J. Math., 115, 1993, 699-734.

  26. Wiener Estimates at Boundary points for Hörmander operators, Boll Un. Mat. Ital. B(7), 1988, 667-681.

    27. Punti critici di funzionali

  27. Semilinear Dirichlet Problem Involving Critical Exponent for the Kohn Laplacian, Ann. Mat. Pura Appl. (4), 169, 1995, 375-392.

  28. Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain. (in collaborazione con F. Uguzzoni ) Nonlinear Anal., Theory Methods Appl. 46A, No.3, 399-417 (2001). .

  29. Positive solutions of $\Delta_p u + u^{p-1} - q(x) u^\alpha = 0$in ${\mathbb{R} }^N$ NoDEA, Nonlinear Differ. Equ. Appl. 9, No.1, 1-14 (2002) (con F. Uguzzoni).



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