Susanna Terracini's preprints and recent papers

  1. H. Tavares, S. Terracini, G. Verzini and Tobias Weth, Existence and nonexistence of entire solutions for non-cooperative cubic elliptic systems, preprint 2010
  2. L. Abatangelo and S. Terracini, Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent, preprint 2010
  3. L. Abatangelo and S. Terracini, A note on the complete rotational invariance of biradial solutions to semilinear elliptic equations, preprint 2010
  4. V. Felli, A. Ferrero and S. Terracini, On the behavior at collisions of solutions to Schrödinger equations with many-particle and cylindrical potentials, Quaderno del Dipartimento di matematica e applicazioni n. 11/2010 (arXiv:1004.3949)
  5. H. Tavares, S. Terracini, Regularity of the nodal set of segregated critical configurations under a weak reflection law, preprint 2010
  6. B. Helffer, T. Hoffmann-Ostenhof and S. Terracini, Nodal minimal partitions in dimension 3, Discrete and Continuous Dynamical Systems A, 28 (2010), 617-635
  7. B. Noris, H. Tavares Terracini S. and G. Verzini, Convergence of minimax and continuation of critical points for singularly perturbed systems, preprint 2009
  8. R. Castelli and Susanna Terracini, On the regularization of the collision solutions of the one-center problem with weak forces, J. Math. Anal. Appl., to appear
  9. B. Helffer, T. Hoffmann-Ostenhof and S. Terracini, On spectral minimal partitions: the case of the sphere, in Around the Research of Vladimir Maz’ya III. Analysis and Applications Ari Laptev (Ed.). International Mathematical Series. Vol. 13, Springer, 2010
  10. B. Noris and Terracini S., Nodal sets of magnetic Schroedinger operators of Aharonov--Bohm type and energy minimizing partitions, preprint, (2009), Indiana Univ. Math. J. to appear 
  11. B. Noris, H. Tavares Terracini S. and G. Verzini, Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition,  Comm. Pure and Appl. Math., 63 (2010), 267 - 302
  12. V. Felli, A. Ferrero and S. Terracini, Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential, preprint (2008), JEMS, to appear
  13. S. Terracini  and G. Verzini,  Multipulses phases in k-mixtures of Bose-Einstein condensates, Arch. Rat. Mech. Anal. 194 n. 3 (2009), 717-741
  14. V. Felli, E.M. Marchini, and S. Terracini:, On Schrödinger operators with multisingular inverse-square anisotropic potentials, Indiana Univ. Math. J. 58 No. 2 (2009), 617–676
  15. Susanna Terracini, n-body and choreographies, Article for the Encyclopedia of Complexity and System Science, Robert A. Meyers (Ed.), Springer New York (2009), 5959 - 5986
  16. B. Helffer, T. Hoffmann-Ostenhof and S. Terracini, Nodal domains and spectral minimal partitions, Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009) 101-138
  17. V. Felli, E.M. Marchini, and S. Terracini: On asymptotic behaviour of solutions to Schrödinger equations with dipole-type potentials,  Discrete and Continuous Dynamical Systems A, 21 (2008), 285-313
  18. Barutello V., Ferrario D. and Terracini S., On the singularities of generalized solutions to n-body type problems, Int. Math. Res. Not. IMRN 2008, Art. ID rnn 069, 78 pp.
  19. V. Barutello, Ferrario D.L., Terracini S., Symmetry groups of the planar three-body problems and action-minimizing trajectories, Arch. Rat. Mech. Anal, 190 (2008), no. 2, 189--226.

Papers

  1. Terracini, S. Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions, Differential Integral Equations 8 (1995), no. 8, 1911--1922
  2. Terracini, S., On the positive entire solutions to a class of  equations with singular coefficients and critical exponents, Adv. Differential Equations, 1(1996), 241-246, PDF
  3. Conti M., Merizzi L., Terracini S.,  On the existence of many solutions for a class of elliptic systems, J. Differential Equations 167 (2000), 357-387.
  4. Conti, Monica; Merizzi, Luca; Terracini, Susanna Radial solutions of superlinear equations on $R\sp N$. I. A global variational approach. Arch. Ration. Mech. Anal. 153 (2000), no. 4, 291--316
  5. Conti, Monica; Terracini, Susanna Radial solutions of superlinear equations on $R\sp N$. II. The forced case. Arch. Ration. Mech. Anal. 153 (2000), no. 4, 317--339.
  6. Arioli, G,, Gazzola, F., Terracini, S., Minimization properties of Hill's orbits and applications to some $N$-body problems. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 5, 617--650.
  7. Terracini, Susanna; Verzini, Gianmaria Solutions of prescribed number of zeroes to a class of superlinear ODE's systems. NoDEA Nonlinear Differential Equations Appl. 8 (2001), no. 3, 323--341.
  8. Bosetto, Elena; Serra, Enrico; Terracini, Susanna Density of chaotic dynamics in periodically forced pendulum-type equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 12 (2001), no. 1, 107--113
  9. P. Habets, L. Sanchez, M. Tarallo and S. Terracini, Heteroclinics for a class of fourth order conservative differential equations, Equadiff 10, Prague 2001, CD ROM proceedings
  10. Conti M., Terracini S., Verzini G., Nodal solutions to a class of nonstandard superlinear equations on RN,  Adv. Differential Equations 7 (2002), no.3, 297--318.
  11. Bosetto, Elena; Serra, Enrico; Terracini, Susanna Generic-type results for chaotic dynamics in equations with periodic forcing terms. J. Differential Equations 180 (2002), no. 1, 99--124
  12. Conti M., Terracini S., Verzini G., Nehari method for PDE's and competing species systems,  Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002), no. 6, 871--888, PDF
  13. Conti M., Terracini S., Verzini G., An optimal partition problem related to some nonlinear eigenvalue problem, J. Functional Analysis, 198 (2003) 160-196, PDF
  14. D. Bonheure, L. Sanchez, M. Tarallo and S. Terracini, Heteroclinics connection between non conosecutive equilibria of a class of fourth order differential equations, Calc. Var., 17 (2003), 341-356, PDF
  15. Ferrario, Davide L.; Terracini, Susanna  On the Existence of Collisionless Equivariant Minimizers for the Classical n-body Problem,  Invent. Math. 155 (2004), no. 2, 305--362
  16. Conti M., Terracini S., Verzini G., Infinitely many solutions to fourth order superlinear periodic problems, Trans. Amer. Math. Soc. 356 (2004), no. 8, 3283--3300
  17. Conti M., Terracini S., Verzini G., A variational problem for the spatial segregation of reaction--diffusion systems,  Indiana Univ. Math. J. 54 (2005), no. 3, 779--815.
  18. Barutello V., Terracini S., Action Minimizing Orbits in the N-body problem with simple choreography contstraint, Nonlinearity 17 (2004), 2015-2039.
  19. Conti M., Terracini S., Verzini G., On a class of optimal partition problems related to the Fucik spectrum and the monotonicity formulae,  Calc. Var. 22 (2005), n. 1, 45-72
  20. Arioli  G., Koch  H., Terracini S., Two novel methods and multi-mode periodic solutions for the Fermi Pasta Ulam model, Comm. Math. Phys, 255 (2005), n. 1, 1-19
  21. Conti M., Terracini S., Verzini G., Asymptotic estimates for the spatial segregation of competitive systems,  Adv. Math. 195 (2005), no. 2, 524--560.
  22. Felli V., Terracini S., Fountain-like solutions for elliptic equations with Hardy potential,  Commun. Contemp. Math., 7 (2005) n.6, 867-904
  23. Felli V., Terracini S., Elliptic Equations with multi-singular inverse-square potentials and critical nonlinearity, Comm. Partial Differential Equations 31 (2006), no. 1-3, 469--495.
  24. Molteni G., Serra E., Tarallo M. and S. Terracini,  Asymptotic resonance, interaction of modes and subharmonic bifurcation, Arch. Rat. Mech. Anal., 182 (2006), 77-123
  25. Felli, V., Terracini, S., Nonlinear Schroedinger equations with symmetric multipolar potentials, Calc. Var.  27 (2006), 25-58
  26. G. Arioli, V. Barutello and S. Terracini, A new branch of mountain pass solutions to the choreographical 3-body problem, Comm. Math. Phys, 268 (2006) 439-463
  27. Conti M., Terracini S., Verzini G., Uniqueness and Least Energy Property for Solutions to Strongly Competing Systems, Interfaces and Free Boundaries, 8 (2006), 437--446
  28. S. Terracini, On the variational approach to the periodic N-body problem, Celestial Mechanics and Dynamical Astronomy , 95  (2006), 1-4, 3-25
  29. Barutello V, Terracini S., Double choreographical solutions for n-body type problems, Celestial Mechanics and Dynamical Astronomy , 95  (2006), 1-4, 67--80
  30. V. Felli, E.M. Marchini, and S. Terracini: On Schrödinger operators with multipolar inverse-square potentials, Journal of Functional Analysis, 250 (2007), 265-316.
  31. Barutello V., Terracini S.,  A bisection algorithm for the numerical Mountain Pass, , NOdEA 14 (2007) 527-539
  32. Terracini S., Venturelli A., Symmetric trajectories for the $2N$-body problem with  equal masses,  Arch. Rat. Mech. Anal, 184 (2007) n.3 , 465-493