See also ResearchGate (PDF files available): https://www.researchgate.net/profile/Olga-Bernardi
— O.B., F. Cardin: On Poincaré-Birkhoff periodic orbits for mechanical Hamiltonian systems on $T^*T^n$. Journal of Mathematical Physics 47, number 7, 072701, 15 pp. (2006).
— O.B., F. Cardin: Minimax and viscosity solutions of Hamilton-Jacobi equations in the convex case. Communications on Pure and Applied Analysis. Volume 5, number 4, 793-812, (2006).
— O.B., F. Cardin: Some Global Features of Wave Propagation. Rend. Circ. Mat. Palermo, Serie II, n. 78, 19-29, (2006).
— O.B., A Symplectic Topology approach to the Poincaré-Birkhoff Theorem and to weak solutions for Hamilton-Jacobi equations. PhD Thesis, (2006).
— M. Guzzo, O.B., F. Cardin: The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Chaos 17, 033107, 9 pp. (2007).
— O.B., F. Cardin, A. Siconolfi: Cauchy problems for stationary Hamilton-Jacobi equations under mild regularity assumptions. Journal of Geometric Mechanics (JGM), Volume 1, Number 3, (2009).
— O.B., F. Cardin, M. Guzzo, L. Zanelli: A PDE approach to finite time indicators in Ergodic Theory. Journal of Nonlinear Mathematical Physics, Vol. 16, no. 2, 195-206, (2009).
— O.B., F. Cardin: On $C^0$-variational solutions to the Hamilton-Jacobi equation. DCDS-A 31 385-406, (2011).
— O.B., A. Parmeggiani, L. Zanelli: Mather measures associated with a class of Bloch wave functions. Annales Henri Poincaré 13, no. 8, 1807-1839, (2012).
— O.B., F. Cardin, M. Guzzo: New estimates for Evans' variational approach to weak KAM theory. Commun. Contemp. Math. 15, no. 2,1250055, 36 pp. (2013).
— O.B., F. Cardin, M. Guzzo: Convergence to the time average by stochastic regularization. J. Nonlinear Math. Phys. 20 no. 1, 9-27, (2013).
— A. Abbondandolo, O.B., F. Cardin: Chain recurrence, chain transitivity, Lyapunov functions and rigidity of Lagrangian submanifolds of optical hypersurfaces. Journal of Dynamics and Differential Equations, Volume 30, pages 287–308, (2018). https://doi.org/10.1007/s10884-016-9543-5
— O.B., M. Dalla Riva: Analytic dependence on parameters for Evans' approximated Weak KAM solutions. DCDS-A 37(9), Volume 37, Issue 9: 4625-4636, (2017). https://www.aimsciences.org/article/doi/10.3934/dcds.2017199
— O.B., A. Florio: A Conley-type decomposition of the strong chain recurrent set. Ergodic Theory and Dynamical Systems, 39, no.5, 1261-1274, (2019). https://doi.org/10.1017/etds.2017.70
— O.B., A. Florio: Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set. Dynamical Systems: An International Journal, 34, no.1, 71-92, (2019). https://doi.org/10.1080/14689367.2018.1465891
— O.B., A. Florio, J. Wiseman: The generalized recurrent set, explosions and Lyapunov functions. Journal of Dynamics and Differential Equations, 32, no. 4, 1797-1817, (2020). https://doi.org/10.1007/s10884-019-09788-5
— O. B., A. Florio, J. Wiseman: A Conley-type Lyapunov function for the strong chain recurrent set. Topology & its Applications, Volume 307, 107768, (2022). https://doi.org/10.1016/j.topol.2021.107768
— O. B., A. Florio, J. Wiseman: Is every pseudo-orbit of some homeomorphism near an exact orbit of a nearby homeomorphism? Bollettino UMI, vol. 16, p. 153-162, (2023). https://doi.org/10.1007/s40574-022-00334-8
— L. Baracco, O. B., C. Lange, M. Mazzucchelli: On the local maximizers of higher capacity ratios. To appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, (2024). DOI: https://doi.org/10.2422/2036-2145.202306_002
— L. Baracco, O.B.: Totally integrable symplectic billiards are ellipses. Advances in Mathematics, vol. 454, 109873, (2024). https://doi.org/10.1016/j.aim.2024.109873
— L. Baracco, O.B., A. Nardi: Higher order terms of Mather's β-function for symplectic and outer billiards. Journal of Mathematical Analysis and Applications, vol. 537, 128353, (2024). https://doi.org/10.1016/j.jmaa.2024.128353
— O.B., A. Florio, M. Leguil: Birkhoff attractors of dissipative billiards. (2024) To appear in Ergodic Theory and Dynamical Systems (ETDS). Published online by Cambridge University Press: 30 September 2024. DOI: https://doi.org/10.1017/etds.2024.68
— L. Baracco, O.B., A. Nardi: Bialy-Mironov type rigidity for centrally symmetric symplectic billiards. Nonlinearity. Vol. 37, nr. 12, (2024) DOI: https://iopscience.iop.org/article/10.1088/1361-6544/ad8f25
— L. Baracco, O.B., A. Nardi: Area spectral rigidity for axially symmetric and Radon domains. Submitted (2024). See: https://arxiv.org/abs/2410.12644
— L. Baracco, O.B., C. Fierobe: Starting the study of outer length billiards. Submitted (2025). See: http://arxiv.org/abs/2504.11915