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Articles

  1. (with P. Luzzini, L. Provenzano, and J. Stubbe) Semiclassical estimates for eigenvalue means of Laplacians on spheres, submitted (preprint).

  2. (with C. Falcó, M.d.M. González, and M. Miranda) Bulk-Boundary eigenvalues for Bilaplacian problems, Discrete Contin. Dyn. Syst., to appear (preprint).

  3. (with L. Provenzano and J. Stubbe) Semiclassical bounds for spectra of biharmonic operators, Rend. Mat. Appl. (7) 43 (2022), no. 4, 267-314 (preprint).

  4. (with J. Kennedy) The Bilaplacian with Robin boundary conditions, SIAM J. Math. Anal. 54 (2022), no. 1, 36-78 (preprint).

  5. (with P. Luzzini, L. Provenzano, and J. Stubbe) On the spectral asymptotics for the buckling problem, J. Math. Phys. 62 (2021), no. 12, Paper No. 121501, 18 pp. (preprint).

  6. (with E. Parini) The buckling eigenvalue problem in the annulus, Commun. Contemp. Math. 23 (2021), no. 4, 2050044, 19 pp. (preprint).

  7. (with P. Freitas) Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles, Proc. Amer. Math. Soc. 148 (2020), no. 3, 1109-1120 (preprint).

  8. (with P. Antunes and P. Freitas) On the behaviour of clamped plates under large compression, SIAM J. Appl. Math., 79 (2019), 1872-1891 (preprint).

  9. (with L.M. Chasman and L. Provenzano) On the stability of some isoperimetric inequalities for the fundamental tones of free plates, J. Spectr. Theory 8 (2018), no. 3, 843-869 (preprint).

  10. (with E. Berchio, F. Gazzola, and D. Zucco) A Minimaxmax problem for improving the torsional stability of rectangular plates, J. Optim. Theory Appl. 177 (2018), no. 1, 64-92 (preprint).

  11. (with E. Berchio and F. Gazzola) On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate, ESAIM Control Optim. Calc. Var. 24 (2018), no. 1, 63-87 (preprint).

  12. (with E. Berchio and F. Gazzola) A measure of the torsional performances of partially hinged rectangular plates, Integral methods in science and engineering. Vol. 1. Theoretical techniques, Birkhäuser/Springer, 2017 (preprint).

  13. Analyticity and criticality results for the eigenvalues of the biharmonic operator, Geometric Properties for Parabolic and Elliptic PDE's: GPPEPDEs, Palinuro, Italy, May 2015, Springer, 2016 (preprint).

  14. (with P.D. Lamberti) On a classical spectral optimization problem in linear elasticity, New Trends in Shape Optimization, Birkhäuser, 2015 (preprint).

  15. (with L. Provenzano) On the eigenvalues of a biharmonic Steklov problem, Integral Methods in Science and Engineering: Theoretical and Computational Advances, Birkhäuser, 2015 (preprint).

  16. Shape differentiability of the eigenvalues of elliptic systems, Integral Methods in Science and Engineering: Theoretical and Computational Advances, Birkhäuser, 2015 (preprint).

  17. (with L. Provenzano) A few shape optimization results for a biharmonic Steklov problem, J. Differential Equations, 259 (2015), no. 5, pp 1778-1818 (preprint).

  18. (with A. Karapiperi and S. Pozza) Generalizations of Aitken's process for a certain class of sequences, Appl. Numer. Math., 90 (2015), pp 38-54.

  19. (with P.D. Lamberti) Shape sensitivity analysis of the eigenvalues of the Reissner-Mindlin system, SIAM J. Math. Anal., 47 (2015), pp 407-426 (preprint).

  20. (with P.D. Lamberti) Shape deformation for vibrating hinged plates, Math. Meth. Appl. Sci., 37 (2014), pp 237-244.

  21. (with P.D. Lamberti) Eigenvalues of polyharmonic operators on variable domains, ESAIM Control Optim. Calc. Var. 19 (2013), no. 4, 1225-1235 (preprint).