1. Cuccagna Scipio, Maeda Masaya, Tuoc V. Phan, On  small energy stabilization in the NLKG with a trapping potential, preprint .
  2.  Cuccagna Scipio, Maeda Masaya,  On orbital instability of spectrally stable vortices of the NLS in the plane,preprint .
  3. Cuccagna Scipio, Jenkins Robert,   On asymptotic stability  of  N--solitons of the Gross-Pitaevskii equation, preprint.
  4.       Cuccagna Scipio, Tarulli Mirko, On   stabilization   of small solutions   in the nonlinear Dirac equation with a trapping potential,   Journal of Mathematical Analysis and Applications, vol 436 (2016), 1332–1368.
  5.       Cuccagna Scipio, Maeda Masaya,  On weak interaction between a ground state and a trapping potential,   Journal Discrete and Continuous Dynamical System - A,  35 (2015), n.8,  3343--3376.
  6.    Cuccagna Scipio, Maeda Masaya, On   small energy stabilization   in the NLS with a trapping potential,     Analysis  & PDE  Vol. 8 (2015), No. 6, 1289–1349 .
  7.      Cuccagna Scipio, Pelinovsky Dmitry,  The asymptotic stability of solitons in the cubic NLS equation on the line,    Applicable Analysis  93 (2014), no. 4, 791–822.
  8.      Cuccagna Scipio, Maeda Masaya,  On weak interaction between  a ground state and a non-trapping  potential,  J. Differential Equations 256 (2014), no. 4, 1395—1466
  9.      Cuccagna Scipio,  Visciglia Nicola, Vladimir Georgiev, Decay and scattering of small solutions of pure power  NLS in   R  with  p>3   and with a potential,   Comm. on Pure          Appl. Math. 67 (2014) 957–981
  10.     Cuccagna Scipio,  On the Darboux and Birkhoff steps in the asymptotic stability of solitons,  Rend. Istit. Mat. Univ. Trieste   44  (2012), 197--257.
  11.      Cuccagna  Scipio, On asymptotic stability of moving ground states of the nonlinear Schrodinger equation,Trans. Amer. Math. Soc. 366 (2014), 2827-2888
  12.   Cuccagna, Marzuola ,   On instability of some approximate periodic solutions for the full nonlinear Schrödinger equation,  Indiana Univ. Math. J.  61 (2012),  2053-2083.
  13. Boussaid   Nabile , Cuccagna Scipio,    On stability of standing waves of nonlinear Dirac equations, Comm. Partial. Diff.Equations   37  (2012)  1001-1056
  14.   Cuccagna Scipio, The Hamiltonian structure of the nonlinear Schrödinger equation and   the asymptotic stability of its ground statesComm. Math. Phys. 305 (2011), no. 2, 279–331.
  15.   Bambusi Dario , Cuccagna Scipio,  On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential,   Amer. J. Math. 133 (2011), no. 5, 1421–1468.
  16.   Cuccagna Scipio  , On scattering of small energy solutions of non autonomous hamiltonian nonlinear Schrödinger equations , J. Differential Equations 250 (2011), no. 5, 2347–2371.
  17.   Cuccagna Scipio,  Visciglia Nicola, On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D,  Trans. Amer. Math. Soc. 363 (2011), no. 5, 2357–2391
  18.    Cuccagna Scipio, On instability of excited states of the nonlinear Schrödinger equation, Physica D-Nonlinear Phenomena, Vol.238 (2009)    pp.38 -5
  19.   Cuccagna Scipio, Orbitally but not asymptotically stable ground states for the discrete NLS. Discrete Contin. Dyn. Syst. 26 (2010), no. 1, 105–134
  20. Cuccagna, Scipio; Tarulli, Mirko, On asymptotic stability in energy space of ground states of NLS in 2D. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 4, 1361–1386
  21.   Cuccagna, Scipio; Tarulli, Mirko, On asymptotic stability of standing waves of discrete Schrödinger equation in  Z . SIAM J. Math. Anal. 41 (2009), no. 3, 861–885
  22.   Cuccagna, Scipio; Visciglia Nicola Scattering for small energy solutions of NLS with periodic potential in 1D. C. R. Math. Acad. Sci. Paris 347 (2009), no. 5-6, 243–247
  23. Cuccagna, Scipio  Lp  continuity of wave operators in  Z . J. Math. Anal. Appl. 354 (2009), no. 2, 594–605
  24.  Cuccagna, Scipio,  An invariant set in energy space for supercritical NLS in 1D. J. Math. Anal. Appl. 352 (2009), no. 2, 634–64
  25. Cuccagna, Scipio, Dispersion for Schrödinger equation with periodic potential in 1D. Comm. Partial Differential Equations 33 (2008), no. 10-12, 2064–2095
  26. Cuccagna, Scipio, On dispersion for Klein Gordon equation with periodic potential in 1D. Hokkaido Math. J. 37 (2008), no. 4, 627–645.
  27. Cuccagna, Scipio; Mizumachi, Tetsu, On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations. Comm. Math. Phys. 284 (2008), no. 1, 51–77
  28.    Cuccagna, Scipio, On asymptotic stability in energy space of ground states of NLS in 1D.        J. Differential Equations 245 (2008), no. 3, 653–691
  29.   Cuccagna, Scipio, On asymptotic stability in 3D of kinks for the  φ4  model. Trans. Amer. Math. Soc. 360 (2008), no. 5, 2581–2614.
  30.   Andrew Comech, Scipio Cuccagna ,  Dmitry Pelinovsky,  Nonlinear instability of a critical traveling wave in the generalized Korteweg de Vries equation SIAM Journal Mathematical Analysis, vol. 39 n.1, 2007, pp 1--33
  31. Cuccagna Scipio, Stability of standing waves for NLS with perturbed Lamé potential,  Journal of  Differential Equations, vol. 223, 2006,  112--160.
  32.   Cuccagna Scipio, A survey on asymptotic stability of ground states of nonlinear Schrödinger equations, pp. 21--58,  in the book "Dispersive Nonlinear Problems in Mathematical Physics" Quaderni di Matematica, editors  V.Georgiev and  P. D'Ancona, vol. 15, Dipt. Matematica, Seconda Università di Napoli.
  33.   Cuccagna,  Eduard Kirr and Dmitry Pelinovsky, Parametric resonance of ground states in the nonlinear Schrödinger equation, Journal of  Differential Equations, vol. 220, 2006,  85--120.
  34.    Cuccagna,   D. Pelinovsky and V. Vougalter,  Spectra of positive and negative energies in the linearization of the NLS problem, Comm.  Pure Appl. Math. 58 (2005), pp 1--29
  35.   Cuccagna ,  D. Pelinovsky, Bifurcations from the end points of the essential spectrum in the linearized NLS problem,  Jour. Math. Phys. 46 (May 2005), 053520.
  36.   Cuccagna Scipio,On asymptotic stability of ground states of NLS,  Rev. Math. Phys. 15 (2003) pp 877--903
  37.   Comech, Cuccagna,     On the L^p continuity of singular Fourier integral operators, Tran.Amer.Math.Soc. 355 (2003) n.6 2453-2476
  38. Cuccagna Scipio, Stabilization of solutions to nonlinear Schrödinger equations, Communications on Pure. and Appl. Math. 54 (2001) n.9   1110-1145
  39.   Cuccagna Scipio,  Asymptotic stability of the ground states of the nonlinear Schrödinger equation,  Rend. Institut. Mat. Univ. Trieste 32 (2001), suppl. I, pp 105 -118
  40. Cuccagna ,  Schirmer,  On the wave equation with a magnetic  potential, Communications on Pure. and Appl. Math., Vol 52 (2001), no. 2, 135—152
  41. Cuccagna Scipio,    On the wave equation with a potential, Comm.Partial Diff. Eq. 25 (2000), no. 7-8, 1549--1565
  42. Comech  , Cuccagna   Integral operators with two-sided cusp singularities, International Mathematical Research Notices, 2000 , n. 23, 1225--1242
  43.   Cuccagna Scipio,        On the local existence for the Maxwell Klein Gordon system in R ^{3+1}  , Communications in Part. Diff. Equations 24 (1999)  203-216 
  44.   Cuccagna Scipio,   Sobolev estimates for operators given by averages over cones, Trans. Amer. Math. Soc. 350 (1998) no.3,935--946
  45.   Cuccagna Scipio,      Sobolev estimates for fractional and singular Radon transforms, Jour. of Funct. Analysis Vol 139  1996   94--118.  
  46. Cuccagna Scipio,   L^2  estimates for averaging operators along curves with two sided k fold singularities, Duke Math.Journal, Vol 89,  203--216 (1997).  
  47. Cuccagna, . Zimmermann On the mapping class group of spherical 3 orbifolds, Proceedings of the Amer. Math. Soc., Vol 116 n2,  561--566 (1992).