| Positivity preserving property for a class of biharmonic elliptic problems E Berchio, F Gazzola, E Mitidieri Journal of Differential Equations 229 (1), 1-23, 2006 | 86 | 2006 |
| Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems E Berchio, F Gazzola, T Weth Walter de Gruyter GmbH & Co. KG 2008 (620), 165-183, 2008 | 71 | 2008 |
| Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions E Berchio, A Ferrero, F Gazzola Nonlinear analysis: real world applications 28, 91-125, 2016 | 66 | 2016 |
| Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities. E Berchio, F Gazzola Electronic Journal of Differential Equations (EJDE)[electronic only] 2005 …, 2005 | 62 | 2005 |
| A qualitative explanation of the origin of torsional instability in suspension bridges E Berchio, F Gazzola Nonlinear Analysis: Theory, Methods & Applications 121, 54-72, 2015 | 61 | 2015 |
| Sharp Poincaré–Hardy and Poincaré–Rellich inequalities on the hyperbolic space E Berchio, D Ganguly, G Grillo Journal of Functional Analysis 272 (4), 1661-1703, 2017 | 56 | 2017 |
| Critical growth biharmonic elliptic problems under Steklov-type boundary conditions E Berchio, F Gazzola, T Weth | 46 | 2007 |
| Existence and stability of entire solutions to a semilinear fourth order elliptic problem E Berchio, A Farina, A Ferrero, F Gazzola Journal of Differential Equations 252 (3), 2596-2616, 2012 | 40 | 2012 |
| An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds E Berchio, D Ganguly, G Grillo, Y Pinchover Proceedings of the Royal Society of Edinburgh Section A: Mathematics 150 (4 …, 2020 | 37 | 2020 |
| Stability and qualitative properties of radial solutions of the Lane–Emden–Fowler equation on Riemannian models E Berchio, A Ferrero, G Grillo Journal de Mathématiques Pures et Appliquées 102 (1), 1-35, 2014 | 37 | 2014 |
| Qualitative behavior of global solutions to some nonlinear fourth order differential equations E Berchio, A Ferrero, F Gazzola, P Karageorgis Journal of Differential Equations 251 (10), 2696-2727, 2011 | 36 | 2011 |
| Hardy–Rellich inequalities with boundary remainder terms and applications E Berchio, D Cassani, F Gazzola manuscripta mathematica 131, 427-458, 2010 | 34 | 2010 |
| Energy transfer between modes in a nonlinear beam equation U Battisti, E Berchio, A Ferrero, F Gazzola Journal de Mathématiques Pures et Appliquées 108 (6), 885-917, 2017 | 28 | 2017 |
| Improved Lp-Poincaré inequalities on the hyperbolic space E Berchio, L D’Ambrosio, D Ganguly, G Grillo Nonlinear Analysis 157, 146-166, 2017 | 26 | 2017 |
| Gelfand type elliptic problems under Steklov boundary conditions E Berchio, F Gazzola, D Pierotti Annales de l'Institut Henri Poincaré C, Analyse non linéaire 27 (1), 315-335, 2010 | 26 | 2010 |
| Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems? E Berchio, F Gazzola, C Zanini SIAM Journal on Applied Dynamical Systems 15 (1), 338-355, 2016 | 20 | 2016 |
| Improved higher order Poincaré inequalities on the hyperbolic space via Hardy-type remainder terms E Berchio, D Ganguly Communications on Pure and Applied Analysis 15 (5), 1871-1892, 2016 | 17 | 2016 |
| On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate E Berchio, D Buoso, F Gazzola ESAIM: Control, Optimisation and Calculus of Variations 24 (1), 63-87, 2018 | 16 | 2018 |
| Best constants and minimizers for embeddings of second order Sobolev spaces E Berchio, F Gazzola Journal of mathematical analysis and applications 320 (2), 718-735, 2006 | 16 | 2006 |
| A minimaxmax problem for improving the torsional stability of rectangular plates E Berchio, D Buoso, F Gazzola, D Zucco Journal of Optimization Theory and Applications 177, 64-92, 2018 | 15 | 2018 |
Filippo GazzolaPolitecnico of MilanVerified email at polimi.it
