Publications

E. Mainini, R. Ognibene, D. Percivale, Asymptotic Behavior of Constrained Local Minimizers in Finite Elasticity. J Elast 152, 1–27 (2022). https://doi.org/10.1007/s10659-022-09946-9

V. Felli, B. Noris, R. Ognibene, Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region, (2022) Accepted in J. Differential Equations.

D. Danielli, R. Ognibene, On a weighted two-phase boundary obstacle problem, (2021), Accepted in Indiana Univ. Math. J., https://arxiv.org/abs/2106.13492

 E. Cinti, R. Ognibene, B. Ruffini, A quantitative stability inequality for fractional capacities, (2022), Math. Eng., 4 (5), pp. 1-28, DOI: https://doi.org/10.3934/mine.2022044

 V. Felli, B. Noris, R. Ognibene, Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region, (2020), Calc. Var. and Partial Differential Equations, 60 (1), art. no. 12, DOI: https://doi.org/10.1007/s00526-020-01878-3

V. Felli, R. Ognibene, Sharp convergence rate of eigenvalues in a domain with a shrinking tube, (2020), J. Differential Equations, 269 (1), pp. 713-763, DOI: https://doi.org/10.1016/j.jde.2019.12.022

V. Felli, D. Mukherjee, R. Ognibene, On fractional multi-singular Schrödinger operators: Positivity and localization of binding, (2020), J. Funct. Anal., 278 (4), DOI: https://doi.org/10.1016/j.jfa.2019.108389

L. Abatangelo, R. Ognibene,  Sharp behavior of Dirichlet-Laplacian eigenvalues for a class of singularly perturbed problems, (2023), https://doi.org/10.48550/arxiv.2301.11729

V. Felli, B. Noris, R. Ognibene, G. Siclari, Quantitative spectral stability for Aharonov-Bohm operators with many coalescing poles, (2023), https://doi.org/10.48550/arXiv.2306.05008

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

D. Mukherjee, R. Ognibene, On fractional Schrödinger equations with multipolar Hardy-type potentials and critical nonlinearity