Ognibene, R., On asymptotics of Robin eigenvalues in the Dirichlet limit. Comm. in Partial Differential Equations, 1–37. https://doi.org/10.1080/03605302.2025.2536098 (2025).
Felli, V., Noris, B., Ognibene, R. & Siclari, G. Quantitative spectral stability for Aharonov-Bohm operators with many coalescing poles. J. Eur. Math. Soc. (2025), published online first. https://doi.org/10.4171/JEMS/1632
Felli, V., Liverani, L. & Ognibene, R. Quantitative spectral stability for the Neumann Laplacian in domains with small holes. J. Funct. Anal. 288, 59. https://doi.org/10.1016/j.jfa.2024.110817 (2025).
Mainini, E., Ognibene, R. & Volzone, B. Local multiplicity for fractional linear equations with Hardy potentials. Calc. Var. Partial Differ. Equ. 64, 20. https://doi.org/10.1007/s00526-024-02914-2 (2025).
Abatangelo, L. & Ognibene, R. Sharp behavior of Dirichlet–Laplacian eigenvalues for a class of singularly perturbed problems. SIAM Journal on Mathematical Analysis 56, 474–500. https://doi.org/10.1137/23M1564444 (2024).
Bianchi, F., Brasco, L. & Ognibene, R. On the spectrum of sets made of cores and tubes. English. J. Convex Anal. 31, 315–358. www.heldermann.de/JCA/JCA31/JCA312/jca31022.htm#jca312 (2024).
Danielli, D. & Ognibene, R. On a weighted two-phase boundary obstacle problem. English. Indiana Univ. Math. J. 72, 1627–1666. https://doi.org/10.1512/iumj.2023.72.9481 (2023).
Cinti, E., Ognibene, R. & Ruffini, B. A quantitative stability inequality for fractional capacities. English. Math. Eng. (Springfield) 4, 28. https://doi.org/10.3934/mine.2022044 (2022).
Felli, V., Noris, B. & Ognibene, R. Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region. English. J. Differ. Equations 320, 247–315. https://doi.org/10.1016/j.jde.2022.02.052 (2022).
Mainini, E., Ognibene, R. & Percivale, D. Asymptotic behavior of constrained local minimizers in finite elasticity. English. J. Elasticity 152, 1–27. https://doi.org/10.1007/s10659-022-09946-9 (2022).
Felli, V., Noris, B. & Ognibene, R. Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region. English. Calc. Var. Partial Differ. Equ. 60, 33. https://doi.org/10.1007/s00526-020-01878-3 (2021).
Felli, V., Mukherjee, D. & Ognibene, R. On fractional multi-singular Schrödinger operators: positivity and localization of binding. English. J. Funct. Anal. 278, 47. https://doi.org/10.1016/j.jfa.2019.108389 (2020).
Felli, V. & Ognibene, R. Sharp convergence rate of eigenvalues in a domain with a shrinking tube. English. J. Differ. Equations 269, 713–763. https://doi.org/10.1016/j.jde.2019.12.022 (2020).
Buttazzo, G. & Ognibene, R. Asymptotics of nonlinear Robin energies, Preprint, arXiv:2506.06914 [math.AP]. https://arxiv.org/abs/2506.06914.
Ognibene, R. & Velichkov, B. Boundary regularity of the free interface in spectral optimal partition problems, Preprint, arXiv:2404.05698 [math.AP]. 2024. https://arxiv.org/abs/2404.05698.
Ognibene, R. & Velichkov, B. Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems, Preprint, arXiv:2412.00781 [math.AP]. 2024. https://arxiv.org/abs/2412.00781.
R. Ognibene, Monotonicity formulas and blow-up methods for the study of spectral stability and fractional obstacle problems, (2021), Ph.D. Thesis, https://iris.unipv.it/retrieve/handle/11571/1431735/465695/thesis_phd.pdf
E. Mainini, D. Mukherjee, R. Ognibene, On fractional Schroedinger equations with multipolar Hardy-type potentials and critical nonlinearity.
A. De Luca, R. Ognibene, S. Vita, Quantitative unique continuation at the boundary for fractional elliptic equations.
F. Bozzola, L. Brasco, R. Ognibene, Non-optimality in the Makai-Hayman inequality
R. Ognibene, B. Velichkov, Estimates on the Haudorff measure of the free boundary in optimal partition problems