Here is a list of my publications, as listed in AMS MathSciNet:
- MR1850208 (2002f:58014)
Secchi, S. A note on closed geodesics for a class of non-compact Riemannian
manifolds.
Adv. Nonlinear Stud. 1 (2001), no. 1, 132–142. (Reviewer: Anna Maria Candela), 58E10 (53C22)
- MR1857674 (2002m:35044)
Ambrosetti, A.; Malchiodi, A.; Secchi, S. Multiplicity results for some nonlinear Schrödinger equations with
potentials.
Arch. Ration. Mech. Anal. 159 (2001), no. 3, 253–271. (Reviewer: Marcel Oliver), 35J60 (35J20)
- MR1941775 (2003k:81062)
Cingolani, Silvia; Secchi, Simone Semiclassical limit for nonlinear Schrödinger equations with
electromagnetic fields.
J. Math. Anal. Appl. 275 (2002), no. 1, 108–130, 81Q20 (35Q40 81V10)
- MR1990020 (2004d:35050)
Secchi, Simone; Smets, Didier; Willem, Michel Remarks on a Hardy-Sobolev inequality.
C. R. Math. Acad. Sci. Paris 336 (2003), no. 10, 811–815, 35J20 (35A30 35B05)
- MR2017678 (2005b:37138)
Secchi, S.; Stuart, C. A. Global bifurcation of homoclinic solutions of Hamiltonian systems.
Discrete Contin. Dyn. Syst. 9 (2003), no. 6, 1493–1518. (Reviewer: Thomas Bartsch), 37J45 (34C23 37J20 47H11)
- MR2087750
Pomponio, A.; Secchi, S. Interior spikes of a singularly perturbed Neumann problem with
potentials.
Appl. Math. Lett. 17 (2004), no. 9, 1025–1031, 35J60 (35B25)
- MR2099612 (2005h:35106)
Secchi, Simone; Squassina, Marco On the location of concentration points for singularly perturbed
elliptic equations.
Adv. Differential Equations 9 (2004), no. 1-2, 221–239. (Reviewer: Juncheng Wei), 35J60 (35B25 35B65 58E05)
- MR2102664 (2005h:35104)
Pomponio, A.; Secchi, S. On a class of singularly perturbed elliptic equations in divergence
form: existence and multiplicity results.
J. Differential Equations 207 (2004), no. 2, 229–266. (Reviewer: Juncheng Wei), 35J60 (35B25 47J30)
- MR2140552 (2005m:35287)
Secchi, Simone; Squassina, Marco On the location of spikes for the Schrödinger equation with
electromagnetic field.
Commun. Contemp. Math. 7 (2005), no. 2, 251–268, 35Q55 (81Q05)
- MR2143013 (2006b:81081)
Cingolani, Silvia; Secchi, Simone Semiclassical states for NLS equations with magnetic potentials having
polynomial growths.
J. Math. Phys. 46 (2005), no. 5, 053503, 19 pp. (Reviewer: Serge C. Richard), 81Q20 (35Q55)
- MR2274942 (2007g:35031)
Secchi, Simone; Serra, Enrico Symmetry breaking results for problems with exponential growth in the
unit disk.
Commun. Contemp. Math. 8 (2006), no. 6, 823–839. (Reviewer: András Domokos), 35J20 (35B30 35J60 47J30)
- MR2279741 (2008e:35180)
Barile, Sara; Cingolani, Silvia; Secchi, Simone Single-peaks for a magnetic Schrödinger equation with critical
growth.
Adv. Differential Equations 11 (2006), no. 10, 1135–1166. (Reviewer: Pascal Bégout), 35Q55 (35B33 47J30 58E05)
- MR2394119 (2010b:35158)
Barutello, Vivina; Secchi, Simone; Serra, Enrico A note on the radial solutions for the supercritical Hénon
equation.
J. Math. Anal. Appl. 341 (2008), no. 1, 720–728, 35J65 (34B18 47J05)
- MR2422078 (2010g:70017)
Barutello, Vivina; Secchi, Simone Morse index properties of colliding solutions to the N-body
problem.
Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 3, 539–565, 70F10 (37J45 37N05)
- MR2436451 (2009k:35065)
Calanchi, Marta; Secchi, Simone; Terraneo, Elide Multiple solutions for a Hénon-like equation on the annulus.
J. Differential Equations 245 (2008), no. 6, 1507–1525. (Reviewer: Nils Ackermann), 35J60 (35B33 35J20 35J25 47J30 58E05)
- MR2542577 (2010h:35366)
Cingolani, Silvia; Jeanjean, Louis; Secchi, Simone Multi-peak solutions for magnetic NLS equations without non-degeneracy
conditions.
ESAIM Control Optim. Calc. Var. 15 (2009), no. 3, 653–675. (Reviewer: S. Rajasekar), 35Q55 (35C08 47J30 81V10)
- MR2600460 (2011c:35544)
Pomponio, Alessio; Secchi, Simone A note on coupled nonlinear Schrödinger systems under the effect of
general nonlinearities.
Commun. Pure Appl. Anal. 9 (2010), no. 3, 741–750. (Reviewer: Juan Campos), 35Q55 (35J91 47J30 58E05 78A60)
- MR2606826 (2011g:35092)
Secchi, Simone A note on Schrödinger-Newton systems with decaying electric
potential.
Nonlinear Anal. 72 (2010), no. 9-10, 3842–3856. (Reviewer: Sarah G. Raynor), 35J47 (35B25 35B38 35J10 35J20 35J50 35J91)
- MR2726117
Cingolani, Silvia; Secchi, Simone; Squassina, Marco Semi-classical limit for Schrödinger equations with magnetic field
and Hartree-type nonlinearities.
Proc. Roy. Soc. Edinburgh Sect. A 140 (2010), no. 5, 973–1009, 35Q55 (81Q05 81Q20)
- MR2951722 Secchi, Simone The Brezis-Nirenberg problem for the Hénon equation: ground state solutions. Adv. Nonlinear Stud. 12 (2012), no. 2, 383–394.
- MR2912346 Cingolani, Silvia; Clapp, Mónica; Secchi, Simone Multiple solutions to a magnetic nonlinear Choquard equation. Z. Angew. Math. Phys. 63 (2012), no. 2, 233–248.
- MR2958344 Secchi, Simone Increasing variational solutions for a nonlinear p-Laplace equation without growth conditions. Ann. Mat. Pura Appl. (4) 191 (2012), no. 3, 469–485.
- MR3059423 Secchi, Simone Ground state solutions for nonlinear fractional Schrödinger equations in ℝN. J. Math. Phys.54 (2013), no. 3, 031501, 17 pp.
- MR3099989 Secchi, Simone Perturbation results for some nonlinear equations involving fractional operators. Differ. Equ. Appl. 5 (2013), no. 2, 221–236.
- S. Cingolani, S. Secchi, Multiple $\mathbb{S}^{1}$--orbits for the Schrödinger-Newton system. Differential and Integral Equations 26 (2013), 867-884.
- S. Secchi, M. Squassina. Soliton dynamics for fractional Schrödinger equations. Applicable Analysis 93 (2014), 1702-1729.
- S. Secchi, On fractional Schrödinger equations in $\mathbb{R}^N$
without the Ambrosetti-Rabinowitz condition. Topological
Methods in Nonlinear Analysis 47 (2016), 19-41.
- S. Cingolani, M. Clapp, S. Secchi, Intertwining semiclassical solutions to a Schrödinger-Newton system. DCDS-S 6 (2013), 891-908. http://arxiv.org/abs/1110.4213
- S. Cingolani, S. Secchi, Ground states for the pseudo-relativistic
Hartree equation with external potential. Proc. Roy. Soc. Edinburgh
Sect. A 145 (2015), 73-90.
- S. Secchi, N. Shioji, M. Squassina, Coron problem for fractional equations. Differential and Integral equations 28 (2015), 103-118.
- S. Secchi, S. Cingolani, Semiclassical analysis for
pseudo-relativistic Hartree equations. Journal of
Differential Equations 258 (2015), no. 15, 4156-4179. http://dx.doi.org/10.1016/j.jde.2015.01.029
- S. Secchi, On some nonlinear fractional equations involving the Bessel operator. To appear in Journal of Dynamics and Differential Equations.
- S. Secchi, Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator. Complex variables and elliptic equations, Complex Var. Elliptic Equ. 62 (2017), no. 5, 654–669. http://dx.doi.org/10.1080/17476933.2016.1234465
- S. Secchi, Existence of solutions for a semirelativistic Hartree equation with unbounded potentials. Forum Math. 30 (2018), no. 1, 129–140.
- Cingolani, Silvia; Secchi, Simone Intertwining solutions for magnetic relativistic Hartree type equations. Nonlinearity 31 (2018), no. 5, 2294–2318.
You can download almost every paper from my personal arXiv site
http://arxiv.org/a/secchi_s_1
Preprints
Theses and lecture notes
- S. Secchi, Nonlinear differential equations on noncompact domains, Ph.D Thesis, Ps-file
- S. Secchi, Introduzione a un metodo perturbativo nella teoria dei punti
critici. Note di un ciclo di seminari presso il Dipartimento di
Matematica dell'Università di Pisa, aprile/maggio 2003. PDF file
Book
S. Secchi. Lezioni di analisi infinitesimale. Liguori editore, 2013. |