Pubblications
Recent papers
E. Berchio, D. Ganguly, G. Grillo, “Improved multipolar Poincaré-Hardy inequalities on Cartan-Hadamard manifolds”, Ann. Mat. Pura Appl. (4) 199 (2020), no. 1, 65–80
E. Berchio, D. Ganguly, P. Roychowdhury, “On some strong Poincaré inequalities on Riemannian models and their improvements”, J. Math. Anal. Appl. 490 (2020), no. 1, 124213, 25 pp.
E. Berchio, D. Ganguly, G. Grillo, Y. Pinchover, “An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds”, Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 4, 1699–1736
E. Berchio, M. Bonforte, D. Ganguly, G. Grillo, “The fractional porous medium equation on the hyperbolic space”, Calc. Var. Partial Differential Equations 59 (2020), no. 5, Paper No. 169, 36 pp.
E. Berchio, A. Falocchi, A. Ferrero, D. Ganguly, “On the first frequency of reinforced partially hinged plates”, Commun. Contemp. Math. 23 (2021), no. 3, 1950074, 37 pp.
E. Berchio, A. Falocchi, M. Garrione, “On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam”, SIAM J. Appl. Dyn. Syst. 20 (2021), no. 2, 908–940
E. Berchio, A. Falocchi, “A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions”, Ann. Mat. Pura Appl. (4) 200 (2021), no. 4, 1651–1681
E. Berchio, F. Santagati, M. Vallarino, “Poincaré and Hardy inequalities on homogeneous trees, Springer INdAM Ser. 47 (2021), 1-22
E. Berchio, A. Falocchi, “About symmetry in partially hinged composite plates”, Appl. Math. Optim. 84 (3) (2021,) 2645-2669
E. Berchio, A. Falocchi, “Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates”, Journal Spectr. Theory v.11 (2) (2021), 743-780
E. Berchio, D. Ganguly, P. Roychowdhury, “Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs", Calc. Var. Partial Differential Equations 61 (2022), no. 4, Paper No. 130, 24 pp
E. Berchio, A. Falocchi, "Some remarks about a worst-case problem for the torsional response of a plate", EMS Ser. Ind. Appl. Math., 3 EMS Press, Berlin (2022), 77–90
E. Berchio, A. Ferrero, D. Ganguly, P. Roychowdhury, “Classification of radial solutions to $−Δ_g u=e^u$ on Riemannian models", J. Differential Equations 361 (2023), 417–448
All papers: https://iris.polito.it/cris/rp/rp17063#.YOMpmy2ubEY