Publications‎ > ‎

Complete list of publications


Preprints

  • D. De Silva and S. Terracini, Segregated configurations involving the square root of the laplacian and their free boundaries, preprint 2018 (https://arxiv.org/abs/1810.01932)
  • A. Audrito and S. Terracini, On the nodal set of solutions to a class of nonlocal parabolic reaction-diffusion equations, preprint 2018 (https://arxiv.org/abs/1807.10135)
  • Y. Sire, S. Terracini and G. Tortone, On the nodal set of solutions to degenerate or singular elliptic equations with an application to s−harmonic functions, preprint 2018 (https://arxiv.org/abs/1808.01851)
  • D. Mazzoleni, S. Terracini and B. Velichkov,  Regularity of the free boundary for the vectorial Bernoulli problem, preprint 2018  (https://arxiv.org/abs/1804.09243)
  • N. Soave and S. Terracini, The nodal set of solutions to some elliptic problems: singular nonlinearities, preprint 2018 (http://arxiv.org/abs/1803.06637)
  • V. L. Barutello, X. Hu, A. Portaluri and S. Terracini, An Index theory for asymptotic motions under singular potentials, preprint 2017 (http://arxiv.org/abs/1705.01291)

Accepted papers

  • S. Terracini, G. Verzini and A. Zilio, Spiraling asymptotic profiles of competition-diffusion systems, preprint 2017, to appear in Comm. Pure Appl. Math.  (http://arxiv.org/abs/1707.01051

Published papers

  • N. Soave and S. Terracini, The nodal set of solutions to some elliptic problems: sublinear  equations, and unstable two-phase membrane problem, Adv. Math. 334, (2018), 243-299 (http://arxiv.org/abs/1802.02089)
  • S. Terracini, G. Tortone and S. Vita,  On s-harmonic functions on cones, preprint 2017, Anal. PDE 11 (2018), no. 7, 1653-1691, (http://arxiv.org/abs/1705.03717)
  • N. Soave, H. Tavares, S. Terracini and A. Zilio,  Variational problems with long-range interaction, Arch. Ration. Mech. Anal. 228 (2018), no. 3, 743-772  (http://arxiv.org/abs/1701.05005)
  • S. Terracini and S. Vita, On the Asymptotic Growth of Positive Solutions to a Nonlocal Elliptic Blow-up System Involving Strong Competition, Ann. Inst.H. Poincaré Anal. Non Linéaire,  AN 35 (2018) 831-858 (arXiv:1604.03264)
  • D. Mazzoleni, S. Terracini and B. Velichkov, Regularity of the optimal sets for spectral functionals, Geom. Funct. Anal. 27 (2017), no. 2, 373-426 (http://arxiv.org/abs/1609.01231)
  • A. Boscaggin, W. Dambrosio and S. Terracini, Scattering parabolic solutions for the spatial N-centre problem},  Arch. Ration. Mech. Anal. 223 (2017), no. 3, 1269-1306 (http://arxiv.org/abs/1602.02897)
  • S. Terracini, G. Verzini and A. Zilio, Uniform Hölder bounds for strongly competing systems  involving the square root of the laplacian,  J. Eur. Math. Soc. (JEMS) 18 (2016), no. 12, 2865-2924 (http://arxiv.org/abs/1211.6087)
  • D. Bonheure, M. Grossi, B. Noris and S. Terracini Multi-layer radial solutions for a supercritical Neumann problem, J. Differential Equations 261 (2016), no. 1, 455-504, (http://arxiv.org/abs/1508.01619)
  • N. Soave, H. Tavares, S. Terracini and A. Zilio Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping, Nonlinear Anal. 138 (2016), 388-427 (http://arxiv.org/abs/1506.00800)
  • M. Ramos, H. Tavares and S. TerraciniExistence and regularity of solutions to optimal partition problems involving Laplacian eigenvalues, Arch. Rat. Mech. Anal. 220(1), 363-443 (http://arxiv.org/abs/1403.6313)
  • B. Noris, M. Nys, S. TerraciniOn the eigenvalues of Aharonov-Bohm operators with varying poles: pole approaching the boundary of the domain, Comm. Math. Phys, 339 (2015) n.3, 1101-1146 (http://arxiv.org/abs/1411.5244)
  • L. Abatangelo and S. TerraciniHarmonic functions in union of chambers, DCDS-A 35 (2015), 5609-5629  (http://arxiv.org/abs/ 1210.1070)
  • N. Soave and S. Terracini Liouville theorems and 1-dimensional symmetry for solutions of an elliptic system modeling phase separation, Adv. Math. 279 (2015), 29-66., (http://arxiv.org/abs/1404.7288)
  • V. Bonnaillie-Noël, B. Noris, M. Nys, S. TerraciniOn the eigenvalues of Aharonov-Bohm operators with varying poles, Analysis & PDE 7-6 (2014), 13651395, (http://arxiv.org/abs/1310.1211)
  • L. Abatangelo, V. Felli and S. TerraciniSingularity of eigenfunctions at the junction of shrinking tubes, Part II J. Dierential Equations, 256 (2014) 3301-3334, (http://arxiv.org/abs/1302.2865)
  • S. Terracini, N. Tzvetkov and N. ViscigliaThe Nonlinear Schrödinger equation ground states on product spaces, Analysis & PDE 7 (2014), n. 1, 73-96 (http://arxiv.org/abs/1205.0342)
  • L. Abatangelo, V. Felli and S. TerraciniOn the sharp eect of attaching a thin handle on the spectral rate of convergence, Journal of Functional Analysis 266 (2014) 3632-3684
    (http://arxiv.org/abs/1307.7930)
  • S. Terracini, G. Verzini and A. ZilioUniform Hölder regularity with small exponent in competition-fractional diusion systems, DCDS-A 33 (2014) n.6, 2669-2691 (http://arxiv.org/abs/1303.6079)
  • V. Barutello, S. Terracini and G. VerziniEntire Parabolic Trajectories as Minimal Phase Transitions, Calc. Var. PDE, 49 (2014), no. 1-2, 391-429, (http://arxiv.org/abs/1105.3358)
  • P. Poláčik and S. TerraciniNonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domain, Proc. Amer. Math. Soc. 142 (2014), no. 4, 1249-1259 
    (http://arxiv.org/abs/1205.1213)
  • N. Soave and S. TerraciniAvoiding collisions under topological constraints in variational problems coming from celestial mechanics, Festschrift Volume for Mme Choquet-Bruhat, Journal of Fixed Point Theory and Applications 14 n. 2 (2013), 457-501, (http://arxiv.org/abs/1404.2490)
  • M-M. Boureanu, B. Noris, S. TerraciniSub and supersolutions, invariant cones and multiplicity results for p-Laplace equations, Proceedings of the Conference on Nonlinear Partial Dierential Equations, edited by Enzo Mitidieri, Vicentiu Radulescu, and James Serrin, Honorary Editor, AMS series on Contemporary Mathematics (CONM) 595 (2013) 91-119 (http://arxiv.org/abs/ 1210.2274)
  • H. Berestycki, S. Terracini, K. Wang and J.C. WeiExistence and Stability of Entire Solutions of an Elliptic System Modeling Phase Separation, Advances in Mathematics 243 (2013), 102-126, (http://arxiv.org/abs/1204.1038)
  • V. Felli and S. TerraciniSingularities of eigenfunctions at the junction of shrinking tubes, Part I, J. Dierential Equations, 255 (2013), n.4, 633-700., (http://arxiv.org/abs/1202.4414),
  • V. Barutello, S. Terracini and G. VerziniEntire Minimal Parabolic Trajectories: the planar anisotropic Kepler problem, Arch. Rat. Mech. Anal., 207, n. 2 (2013), 583609, DOI: 10.1007/s00205-012-0565-9 
    (http://arxiv.org/abs/1109.5504)
  • N. Soave and S. TerraciniAddendum to: Symbolic Dynamics for the N-centre problem at negative energies, DCDS-A 33 n.8, (2013) 38253829, DOI:10.3934/dcds.2013.33.3825
  • S. TerraciniLe traiettorie paraboliche della meccanica celeste come transizioni di fase minimali, Bollettino della Unione Matematica Italiana (9) V (2012), 689-710
  • H. Tavares and S. TerraciniRegularity of the nodal set of segregated critical congurations under a weak reection law, Calc. Var. PDE 45, n. 3 (2012), 273-317
  • V. Felli, A. Ferrero and S. TerraciniA note on local asymptotics of solutions to singular elliptic equations via monotonicity methods, Milan Journal of Mathematics 80, n. 1 (2012), 203-226
  • B. Noris, H. Tavares Terracini S. and G. VerziniConvergence of minimax and continuation of critical points for singularly perturbed systems, Journal of the European Mathematical Society 14 (2012) n.4, 1245-1273
  • V. Felli, A. Ferrero and S. TerraciniOn the behavior at collisions of solutions to Schrödinger equations with many-particle and cylindrical potentials, DCDS-A 32 n. 11 (2012), 3895-3956
  • N. Soave and S. TerraciniSymbolic Dynamics for the N-centre problem at negative energies, DCDS-A 32 (2012), 32013345
  • H. Tavares, S. TerraciniSign-changing solutions of competition-diusion elliptic systems and optimal partition problems, Ann. Inst.H. Poincaré Anal. Non Linéaire 29 (2012), 279-300
  • H. Tavares, S. Terracini, G. Verzini and T. WethExistence and nonexistence of entire solutions for non-cooperative cubic elliptic systems, Comm. Partial Dierential Equations 36 (2011), no. 11, 1988-2010
  • L. Abatangelo and S. TerraciniSolutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent, J. Fixed Point Theory Appl. 10 (2011), 147-180
  • R. Castelli and Susanna Terracini, On the regularization of the collision solutions of the one-center problem with weak forces, DCDS-A, 31 (2011), 1197-1218
  • V. Felli, A. Ferrero and S. TerraciniAsymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential, Journal of the European Mathematical Society, 13 (2011), 119-174.
  • L. Abatangelo and S. TerraciniA note on the complete rotational invariance of biradial solutions to semilinear elliptic equations, Advanced Nonlinear Studies, 11 (2011), 233-245
  • B. Noris and Terracini S.Nodal sets of magnetic Schrödinger operators of Aharonov Bohm type and energy minimizing partitions, Indiana Univ. Math. J. 59 (2010), 1361-1402
  • B. Helffer, T. Hoffmann-Ostenhof and S. TerraciniMinimal partitions in dimension 3, Discrete and Continuous Dynamical Systems A, 28 (2010), 617-635
  • B. Helffer, T. Hoffmann-Ostenhof and S. TerraciniOn 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
  • B. Noris, H. Tavares, Terracini S. and G. VerziniUniform Hölder bounds for nonlinear Schrödinger systems with strong competition, Comm. Pure Appl. Math. 63 (2010), 267302
  • S. Terracini and G. Verzini, Multipulse phases in kmixtures of BoseEinstein condensates, Arch. Rat. Mech. Anal. 194 n. 3 (2009), 717-741
  • V. Felli, E.M. Marchini, and S. TerraciniOn Schrödinger operators with multisingular inverse-square anisotropic potentials, Indiana Univ. Math. J. 58 No. 2 (2009), 617-676.
  • B. Helffer, T. Hoffmann-Ostenhof and S. TerraciniNodal domains and spectral minimal partitions, Ann. Inst. H. Poincaré Anal. Non Linéaire, 26 (2009) 101-138
  • S. Terracini, nbody and choreographies, Article for the Encyclopedia of Complexity and System Science, Robert A. Meyers (Ed.), Springer New York (2009), 5959 - 5986
  • V. Felli, E.M. Marchini, and S. Terracini, On Schrödinger operators with multisingular inverse-square anisotropic potentials, Discrete and Continuous Dynamical Systems A, 21 (2008), 285-313
  • V. Barutello, Ferrario D.L., Terracini S.On the singularities of generalized solutions to nbody type problem, Int Math Res Notices.2008 (2008), rnn069-78
  • V. Barutello, Ferrario D.L., Terracini S.Symmetry groups of the planar three-body problems and action-minimizing trajectories, Arch. Rational Mech. Anal. 190 (2008), 189-226
  • Terracini S., Venturelli A.Symmetric trajectories for the 2N-body problem with equal masses, Arch. Rat. Mech. Anal, 184 (2007) n.3 , 465493
  • Barutello V., Terracini S.A bisection algorithm for the numerical Mountain Pass, NoDEA: Nonlinear Dierential Equations and Applications, 14 (2007), 527-539
  • V. Felli, E.M. Marchini, and S. Terracini, On Schrödinger operators with multipolar inverse-square potentials, J. of Functional Analysis, 250 (2007), 265316
  • Barutello V, Terracini S.Double choreographical solutions for n-body type problems, Celestial Mechanics and Dynamical Astronomy , 95 (2006), 1-4, 6780
  • S. TerraciniOn the variational approach to the periodic N-body problem, Celestial Mechanics and Dynamical Astronomy , 95 (2006), 1-4, 3-25
  • Conti M., Terracini S., Verzini G., Uniqueness and Least Energy Property for Solutions to Strongly Competing Systems, Interfaces and Free Boundaries, 8 (2006), 437446
  • G. Arioli, V. Barutello and S. TerraciniA new branch of mountain pass solutions to the choreographical 3-body problem, Comm. Math. Phys, 268 (2006) 439-463
  • Felli, V., Terracini, S.Nonlinear Schrödinger equations with symmetric multipolar potentials, Calc. Var. 27 (2006), 25-58
  • Molteni G., Serra E., Tarallo M. and S. TerraciniAsymptotic resonance, interaction of modes and subharmonic bifurcation, Arch. Rat. Mech. Anal., 182 (2006), 77-123
  • Felli V., Terracini S.Elliptic Equations with multi-singular inverse-square potentials and critical nonlinearity, Comm. Partial Dierential Equations 31 (2006), no. 1-3, 469495.
  • Felli V., Terracini S.Fountain-like solutions for elliptic equations with Hardy potential, Commun. Contemp. Math., 7 (2005) n.6, 867-904
  • Conti M., Terracini S., Verzini G.Asymptotic estimates for the spatial segregation of competitive systems, Adv. Math. 195 (2005), no. 2, 524560.
  • 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
  • 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
  • Conti M., Terracini S., Verzini G.A variational problem for the spatial segregation of reactiondiusion systems, Indiana Univ. Math. J. 54 (2005), no. 3, 779815.
  • Conti M., Terracini S., Verzini G.Innitely many solutions to fourth order superlinear periodic problems, Trans. Amer. Math. Soc. 356 (2004), no. 8, 32833300
  • Barutello V., Terracini S.Action Minimizing Orbits in the N-body problem with simple choreography contstraint, Nonlinearity 17 (2004), 2015-2039
  • Ferrario, Davide L.; Terracini, SusannaOn the Existence of Collisionless Equivariant Minimizers for the Classical n-body Problem, Invent. Math. 155 (2004), no. 2, 305362
  • D. Bonheure, L. Sanchez, M. Tarallo and S. TerraciniHeteroclinics connection between non conosecutive equilibria of a class of fourth order dierential equations, Calc. Var., 17 (2003), 341-356
  • Conti M., Terracini S., Verzini G.An optimal partition problem related to some nonlinear eigenvalueproblems, J. Functional Analysis, 198 (2003) 160-196
  • 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, 871888,
  • Bosetto, E. Serra, E., Terracini, S., Density of chaotic dynamics in periodically forced pendulumtype equations, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 12 (2001),no. 1, 107113
  • Bosetto, E. Serra, E., Terracini, S., Generic-type results for chaotic dynamics in equations with periodic forcing terms, J. Dierential Equations 180 (2002), no. 1, 99124
  • Conti M., Terracini S., Verzini G.Nodal solutions to a class of nonstandard superlinear equations on RN, Adv. Dierential Equations 7 (2002), no.3, 297318
  • P. Habets, L. Sanchez, M. Tarallo and S. TerraciniHeteroclinics for a class of fourth order conservative dierential equations, Equadi 10, Prague 2001, CD ROM proceedings
  • Terracini, S., Verzini, G., Solutions of prescribed number of zeroes to a class of superlinear ODE's systems, NoDEA Nonlinear Dierential Equations Appl. 8 (2001), no. 3, 323341.
  • Conti M., Merizzi L., Terracini S., On the existence of many solutions for a class of elliptic systems. J. Dierential Equations 167 (2000), 357387
  • Serra E., Tarallo M., Terracini S., On subharmonic solutions for forced pendulumtype equations. Nonlin. Anal. TMA 41(2000), 649667
  • Arioli G., Gazzola F., Terracini S. Minimization properties of Hill's orbits and applications to some Nbody problems. Ann. Inst.H. Poincaré Anal. Non Linéaire 17, 5 (2000), 617650
  • Terracini S., Verzini G., Oscillating solutions to second order ODE's with indenite superlinear nonlinearities. Nonlinearity 13 (2000), 15011514
  • Conti M., Terracini S., Radial solutions of superlinear equations on RN. Part II: the forced case. Arch. Rational Mech.Anal. 153 (2000), 317339
  • Conti M., Merizzi L., Terracini S., Radial solutions of superlinear equations on RN. Part I: a global variational approach. Arch. Rational Mech. Anal. 153 (2000), 291316
  • Conti M., Merizzi L., Terracini S., Remarks on variational Methods and LowerUpper solutions. NoDEA, 6 (1999), 371393
  • Amar M. Tarallo M., Terracini S., On the exponential decay for boundary layer problems. C. R. Acad. Sci. Paris Sér. I Math.328 (1999), no. 12, 11391144
  • Terracini S., Non degeneracy and chaotic motions for a class of Lagrangean Systems. Nonlinear Anal. 37 (1999), no. 3, Ser. A: Theory Methods, 337361
  • Montecchiari P., Nolasco M., Terracini S., A global condition for periodic Dunglike systems. Trans. Amer. Math. Soc. 351 (1999),no. 9, 37133724
  • Ramos M., Terracini S., Troestler C., Superlinear indenite elliptic problems and Pohožaev type identities. J. Funct. Anal. 159 (1998), no. 2, 596628
  • Ramos M., Terracini S., Troestler C., Problèmes elliptiques surlinéaires avec nonlinéarité sans signe déni. C. R. Acad. Sci.Paris S?r. I Math. 325 (1997), no. 3, 283286
  • Montecchiari P., Nolasco M., Terracini S., Multiplicity of homoclinics for a class of time recurrent second order Hamiltonian systems. Calc. Var. Partial Dierential Equations 5 (1997), no. 6, 523555
  • Pierotti D., Terracini S., On a Neumann problem involving two critical Sobolev exponents: remarks on geometrical and topological aspects. Calc. Var. Partial Dierential Equations 5 (1997), no. 3,271291
  • Arioli G., Gazzola F., Terracini S., Multibump periodic motions of an innite lattice of particles. Math. Z., 223 (1996),627642
  • Serra E., Tarallo M., Terracini S., On the structure of the solution set of forced pendulumtype equations. J.Dierential Equations 131 (1996), no. 2, 189208
  • Serra E., Tarallo M., Terracini S., On the existence of homoclinic orbits for almost periodic second order systems. Ann. Inst.H. Poincaré Anal. Non Linéaire 13 (1996), no. 6, 783812
  • Terracini S., On positive entire solutions to a class of equations with a singular coecient and critical exponent. Adv. Dierential Equations 1 (1996), no. 2, 241264
  • Tarallo M., Terracini S., On the existence of periodic and solitary traveling waves in some non linear lattices. Dynam. Systems Appl. 4 (1995), no. 3, 429458
  • Terracini S., Symmetry properties of positive solutions to some elliptic problems with nonlinear boundary conditions. Dierential Integral Equations 8 (1995), no. 8, 19111922
  • Pierotti D., Terracini S., On a Neumann problem with critical exponent and critical nonlinearity on the boundary. Comm. Partial Dierential Equations 20 (1995), no. 7-8, 11551187
  • Majer P., Terracini S., On the existence of innitely many periodic solutions to some problems of n-body type. Comm. Pure Appl.Math. 48 (1995), no. 4, 449470
  • Majer P., Terracini S., Multiple periodic solutions to somen-body type problem via a collision index. Variational methods in nonlinear analysis (Erice, 1992), 245262, Gordon and Breach,Basel, 1995
  • Ramos M. ,Terracini S., Noncollision solutions to some singular dynamical systems with very weak forces. J.Dierential Equations 118 (1995), no. 1, 121152
  • Serra E. ,Terracini S., Noncollision Solutions to some minimization problems with Keplerian-like potentials. NonlinearAnal. 22 (1994), no. 1, 4562
  • Majer P., Terracini S., Periodic solutions to some N-body type problems: the xed energy case. Duke Math. J. 69 (1993), no. 3, 683697
  • Majer P., Terracini S., Periodic solutions to some problems of N-body type. Arch. Rational Mech. Anal. 124 (1993), no. 4,381404
  • Terracini S., Remarks on periodic orbits of dynamical systems with repulsive singularities. J. Funct. Anal. 111 (1993), no.1, 213238
  • Serra E. ,Terracini S., Collisionless periodic solutions to some three-body problems. Arch. Rational Mech. Anal. 120(1992), no. 4, 305325
  • Terracini S., Multiplicity of periodic solutions with prescribed energy to singular dynamical systems. Ann. Inst. H.Poincaré Anal. Non Linéaire 9 (1992), no. 6, 597641
  • Terracini S., An Homotopical Index and multiplicity of periodic solutions to dynamical systems with singular potentials. J.Dierential Equations 98 (1992), no. 2, 197225
  • Solimini S., Terracini S., A multiplicity result for periodic solutions to autonomous conservative systems.Nonlinear Anal. 16 (1991), no. 11, 903916
  • Capozzi A., Solimini S., Terracini S., On a class of dynamical systems with singular potential. Nonlinear Anal. 16 (1991),no. 10, 805815
  • Skof F., Terracini S.Sulla stabilità locale dell'equazione funzionale quadratica. Atti dell'Accademiadelle Scienze di Torino, 121 (1987), 153-167

Books

  • PortugaliMathematica Special Issue Dedicated to the Memory of Miguel Ramos, Editors Luís Sanchez and Susanna Terracini Portugal. Math. (N.S.) Vol. 71, Fasc. 34, 2014, 157158 DOI 10.4171/PM/1946
  • Discrete and Continuous Dynamical Systems - A Special Issue Qualitative properties of solutions of nonlinear elliptic equations and systems. Editors: Susanna Terracini and Jung-chen Wei, Volume 34,Number 6, June 2014
  • Symmetry and Perturbation Theory: Proceedings Of The International Conference SPT 2004 Cala Genone, Italy, 30 May5 June 2004, Editors: Giuseppe Gaeta, Barbara Prinari, Stefan Rauch-Wojciechowski, Susanna Terracini, World Scientic (2005)
  • Analisi matematica. Dal calcolo all'analsi Vol. 1 (di M. Conti, D.L. Ferrario, S. Terracini e G. Verzini) Apogeo (2006).
  • Analisi matematica. Con elementi di geometria e calcolo vettoriale Vol. 2 (di V. Barutello, M. Conti, D.L. Ferrario, S. Terracini, G. Verzini) Apogeo (2008).

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