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Articles
- (avec P. Luzzini, L. Provenzano et J. Stubbe) Semiclassical estimates for eigenvalue means of Laplacians on spheres, J. Geom. Anal., 33 (2023), 280 (preprint).
- (avec C. Falcó, M.d.M. González et M. Miranda) Bulk-Boundary eigenvalues for Bilaplacian problems, Discrete Contin. Dyn. Syst., 43 (2023), no. 3&4, 1175-1200 (preprint).
- (avec L. Provenzano et J. Stubbe) Semiclassical bounds for spectra of biharmonic operators, Rend. Mat. Appl. (7) 43 (2022), no. 4, 267-314 (preprint).
- (avec J. Kennedy) The Bilaplacian with Robin boundary conditions, SIAM J. Math. Anal. 54 (2022), no. 1, 36-78 (preprint).
- (avec P. Luzzini, L. Provenzano et J. Stubbe) On the spectral asymptotics for the buckling problem, J. Math. Phys. 62 (2021), no. 12, Paper No. 121501, 18 pp. (preprint).
- (avec E. Parini) The buckling eigenvalue problem in the annulus, Commun. Contemp. Math. 23 (2021), no. 4, 2050044, 19 pp. (preprint).
- (avec P. Freitas) Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles, Proc. Amer. Math. Soc. 148 (2020), no. 3, 1109-1120 (preprint).
- (avec P. Antunes et P. Freitas) On the behaviour of clamped plates under large compression, SIAM J. Appl. Math., 79 (2019), 1872-1891 (preprint).
- (avec L.M. Chasman et 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).
- (avec E. Berchio, F. Gazzola et D. Zucco) A Minimaxmax problem for improving the torsional stability of rectangular plates, J. Optim. Theory Appl. 177 (2018), no. 1, 64-92 (preprint).
- (avec E. Berchio et 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).
- (avec E. Berchio et 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).
- 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).
- (avec P.D. Lamberti) On a classical spectral optimization problem in linear elasticity, New Trends in Shape Optimization, Birkhäuser, 2015 (preprint).
- (avec L. Provenzano) On the eigenvalues of a biharmonic Steklov problem, Integral Methods in Science and Engineering: Theoretical and
Computational Advances, Birkhäuser, 2015 (preprint).
- Shape differentiability of the eigenvalues of elliptic systems, Integral Methods in Science and Engineering: Theoretical and
Computational Advances, Birkhäuser, 2015 (preprint).
- (avec L. Provenzano) A few shape optimization results for a biharmonic Steklov problem, J. Differential Equations, 259 (2015), no. 5, pp 1778-1818 (preprint).
- (avec A. Karapiperi et S. Pozza) Generalizations of Aitken's process for a certain class of sequences, Appl. Numer. Math., 90 (2015), pp 38-54.
- (avec P.D. Lamberti) Shape sensitivity analysis of the eigenvalues of the Reissner-Mindlin system, SIAM J. Math. Anal., 47 (2015), pp 407-426 (preprint).
- (avec P.D. Lamberti) Shape deformation for vibrating hinged plates, Math. Meth. Appl. Sci., 37 (2014), pp 237-244.
- (avec P.D. Lamberti) Eigenvalues of polyharmonic operators on variable domains, ESAIM Control Optim. Calc. Var. 19 (2013), no. 4, 1225-1235 (preprint).