List of Publications
Preprint
26) L. Asselle, M. Starostka - A note on the Morse homology for a class of functionals on Banach spaces involving the p-Laplacian, 2023.
25) L. Asselle, A. Portaluri - A Morse index formula for periodic brake orbits of reversible mechanical Lagrangian systems, 2023.
24) L. Asselle, G. Benedetti, M. Berti - Zoll magnetic systems on the two-torus: a Nash-Moser construction, 2023.
23) L. Asselle, M. Starostka - Morse homology for the Hamiltonian action in cotangent bundles, 2022.
Papers
22) L. Asselle, M. Izydorek, M. Starostka - The Arnold conjecture on CP^n and the Conley index, DCDS-B, 28, Issue 4 (2023), Doi: 10.3934/dcdsb.2022184
21) L. Asselle, A. Portaluri, L. Wu - Spectral stability, spectral flow and circular relative equilibria for the Newtonian n-body problem, J. Diff. Equations 337 (2022), https://doi.org/10.1016/j.jde.2022.07.032
20) L. Asselle, G. Benedetti - Non resonant circles for strong magnetic fields on surfaces, Annales H. Lebesgue 5 (2022), Doi: 10.5802/ahl.147
19) L. Asselle, M. Fenucci, A. Portaluri - Bifurcations of S-balanced configurations in the four dimensional n-body problem, J. Fixed Point Theory Appl. 24, 22 (2022), https://doi.org/10.1007/s11784-022-00932-1
18) L. Asselle, A. Portaluri - Morse theory for S-balanced configurations in the Newtonian n-body problem, J. Dyn. Diff. Equat. (2021). https://doi.org/10.1007/s10884-021-10036-y
17) L. Asselle, G. Benedetti - Normal forms for strong magnetic systems on surfaces: Trapping regions and rigidity of Zoll systems, Ergodic Theory Dynam. Systems (2021), http://dx.doi.org/10.1017/etds.2021.11
16) L. Asselle, M. Starostka - The Palais-Smale condition for the Hamiltonian action on the space of loops in cotangent bundles and applications, Calc. Var. PDE 59, 113 (2020), https://doi.org/10.1007/s00526-020-01762-0.
15) L. Asselle, C. Lange - On the rigidity of Zoll magnetic systems on surfaces, Nonlinearity 33, 3173 (2020), https://doi.org/10.1088/1361-6544/ab839c.
14) L. Asselle, G. Benedetti - Integrable magnetic flows on the two-torus: Zoll examples and systolic inequalities, J. Geom. Analysis (2020), DOI: 10.1007/s12220-020-00379-1
13) L. Asselle, M. Mazzucchelli - Waist theorems for Tonelli systems in higher dimensions, Manuscripta Math. (2019), https://doi.org/10.1007/s00229-019-01154-5
12) L. Asselle, G. Benedetti, M. Mazzucchelli - Minimal boundaries in Tonelli Lagrangian systems, Int. Math. Res. Not. (2019), https://doi.org/10.1093/imrn/rnz246
11) L. Asselle, M. Mazzucchelli - On Tonelli periodic orbits with low energy on surfaces, Trans. Amer. Math. Soc. 371 (2019), no. 5, 3001-3048.
10) L. Asselle, F. Schmäschke - On geodesic flows with symmetries and closed magnetic geodesics on orbifolds, Ergodic Theory Dynam. Systems (2018), https://doi.org/10.1017/etds.2018.122
9) L. Asselle, F. Schmäschke - On the existence of closed magnetic geodesics via symplectic reduction, J. Fixed Point Theory Appl. (2018), 20-49.
8) L. Asselle, M. Mazzucchelli - Closed geodesics with local homology in maximal degree on non-compact manifolds, Diff. Geom. and Appl. 58 (2018), 17-51.
7) L. Asselle - Smooth Hamilton-Jacobi solutions for the horocycle flow, Far East Journal of Dynamical Systems 29 (2017), no. 2-3, 77-95.
6) A. Abbondandolo, L. Asselle, G. Benedetti, M. Mazzucchelli, I. Taimanov, The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere, Adv. Nonlinear Stud. 17 (2017), no. 1, 17-30.
5) L. Asselle, M. Mazzucchelli - On the existence of infinitely many closed geodesics on non-compact manifolds, Proc. Amer. Math. Soc. 145 (2017), no. 6, 2689-2697.
4) L. Asselle, G. Benedetti - On the periodic motions of a charged particle in an oscillating magnetic field on the two-torus, Math. Z. 286 (2017), Issue 3-4, 843-859.
3) L. Asselle - On the existence of Euler-Lagrange orbits satisfying the conormal boundary conditions, J. Funct. Anal. 271 (2016), 3513-3553.
2) L. Asselle, G. Benedetti - The Lyusternik-Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles, J. Topol. Anal. 8 (2016), 545-570.
1) L. Asselle, G. Benedetti - Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two, Calc. Var. PDE 54 (2015), no. 2, 1525-1545.