Edit Profile (opens in new tab) Gazzola, Filippo Co-Author Distance Author ID: gazzola.filippo Published as: Gazzola, Filippo; Gazzola, F. Homepage: https://cvgmt.sns.it/person/171/ External Links: ORCID · Google Scholar · ResearchGate · dblp Videos: carmin.tv Documents Indexed: 162 Publications since 1992, including 4 Books and 4 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 79 Co-Authors with 145 Joint Publications 2,345 Co-Co-Authors all top 5 Co-Authors 20 single-authored 20 Berchio, Elvise 16 Arioli, Gianni 14 Grunau, Hans-Christoph 12 Ferrero, Alberto 12 Fragalà, Ilaria 9 Sperone, Gianmarco 7 Bonheure, Denis 7 Crasta, Graziano 7 Garrione, Maurizio 7 Weth, Tobias 5 Falocchi, Alessio 4 Galdi, Giovanni Paolo 4 Pavani, Raffaella 3 Buoso, Davide 3 Mitidieri, Enzo Luigi 3 Pierotti, Dario 3 Serrin, James 3 Sweers, Guido H. 2 Antunes, Pedro Ricardo Simão 2 Benci, Vieri 2 Bocchi, Edoardo 2 Bucur, Dorin 2 Conti, Monica C. 2 Grillo, Gabriele 2 Jleli, Mohamed Boussairi 2 Karageorgis, Paschalis 2 Kawohl, Bernd 2 Lamboley, Jimmy 2 Marchini, Elsa Maria 2 Moreira dos Santos, Ederson 2 Pata, Vittorino 2 Patriarca, Clara 2 Peral Alonso, Ireneo 2 Pierre, Michel 2 Samet, Bessem 2 Secchi, Paolo 2 Squassina, Marco 2 Terracini, Susanna 2 Wang, Yongda 1 Al-Gwaiz, Mohammed A. 1 Barbatis, Gerassimos 1 Barucci, Emilio 1 Battisti, Ubertino 1 Bonforte, Matteo 1 Cannarsa, Piermarco 1 Cassani, Daniele 1 Catino, Giovanni 1 Farina, Alberto 1 Ferreira, Vanderley jun. 1 Fortunato, Donato 1 Gasparetto, Carlo 1 Hakl, Robert 1 Ishige, Kazuhiro 1 Koch, Hans-Friedrich 1 Lasiecka, Irena 1 Lazzarino, Marco 1 Lieberman, Gary M. 1 Malchiodi, Andrea 1 Mastrolia, Paolo 1 Neustupa, Jiří 1 Nitsch, Carlo 1 Peletier, Lambertus Adrianus 1 Perotto, Simona 1 Pisani, Lorenzo 1 Prouse, Giovanni 1 Pucci, Patrizia 1 Racic, Vitomir 1 Rădulescu, Vicenţiu D. 1 Ruf, Bernhard 1 Salani, Paolo 1 Sardella, Mirko 1 Sassone, Edoardo 1 Soufyane, Abdelaziz 1 Tang, Moxun 1 Torres Villarroya, Pedro José 1 Vazquez, Juan Luis 1 Webster, Justin T. 1 Zanini, Chiara 1 Zucco, Davide all top 5 Serials 10 Journal of Differential Equations 8 Discrete and Continuous Dynamical Systems 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Calculus of Variations and Partial Differential Equations 6 Archive for Rational Mechanics and Analysis 6 Differential and Integral Equations 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 NoDEA. Nonlinear Differential Equations and Applications 5 Advances in Differential Equations 3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 3 SIAM Journal on Mathematical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Analysis (München) 3 Milan Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Mathematics in Engineering 2 Journal of Mathematical Analysis and Applications 2 Mathematische Zeitschrift 2 Zeitschrift für Analysis und ihre Anwendungen 2 Rendiconti. Scienze Matemàtiche e Applicazioni. A 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Mathematical Fluid Mechanics 2 Communications in Contemporary Mathematics 2 Nonlinear Analysis. Real World Applications 2 Communications on Pure and Applied Analysis 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Mathematica Bohemica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topological Methods in Nonlinear Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Communications in Applied Analysis 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Nonlinear Science and Numerical Simulation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Lecture Notes in Mathematics 1 Journal of Fixed Point Theory and Applications 1 MS&A. Modeling, Simulation and Applications 1 Springer Proceedings in Mathematics & Statistics 1 Evolution Equations and Control Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 EMS Series in Industrial and Applied Mathematics 1 SpringerBriefs in Applied Sciences and Technology 1 EMS Textbooks in Mathematics all top 5 Fields 125 Partial differential equations (35-XX) 45 Mechanics of deformable solids (74-XX) 29 Fluid mechanics (76-XX) 25 Ordinary differential equations (34-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 14 Functional analysis (46-XX) 7 Potential theory (31-XX) 7 Operator theory (47-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 6 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 3,361 times in 2,096 Documents Cited by ▼ Year ▼ Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains. Zbl 1239.35002 Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 422 2010 Global solutions and finite time blow up for damped semilinear wave equations. Zbl 1094.35082 Gazzola, Filippo; Squassina, Marco 176 2006 Existence of solutions for singular critical growth semilinear elliptic equations. Zbl 0997.35017 Ferrero, Alberto; Gazzola, Filippo 157 2001 Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378 Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd 136 2004 Hardy inequalities with optimal constants and remainder terms. Zbl 1079.46021 Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo 102 2004 Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level. Zbl 1212.35248 Gazzola, Filippo; Weth, Tobias 96 2005 Mathematical models for suspension bridges. Nonlinear structural instability. Zbl 1325.00032 Gazzola, Filippo 95 2015 Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063 Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco 82 2003 Radial entire solutions for supercritical biharmonic equations. Zbl 1152.35034 Gazzola, Filippo; Grunau, Hans-Christoph 80 2006 A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012 Gazzola, Filippo; Ferrero, Alberto 71 2015 A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339 Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo 66 2005 Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508 Gazzola, Filippo; Ruf, Bernhard 58 1997 Overdetermined problems with possibly degenerate ellipticity, a geometric approach. Zbl 1220.35077 Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd 52 2006 A nonsmooth critical point theory approach to some nonlinear elliptic equations in \({\mathbb R}^n\). Zbl 0970.35033 Gazzola, Filippo; Rădulescu, Vicenţiu 41 2000 A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007 Arioli, Gianni; Gazzola, Filippo 41 2015 Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions. Zbl 1329.74166 Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo 41 2016 Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201 Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo 40 2014 Positivity preserving property for a class of biharmonic elliptic problems. Zbl 1142.35016 Berchio, Elvise; Gazzola, Filippo; Mitidieri, Enzo 39 2006 Periodic motions of an infinite lattice of particles with nearest neighbor interaction. Zbl 0867.70004 Arioli, G.; Gazzola, F. 39 1996 A qualitative explanation of the origin of torsional instability in suspension bridges. Zbl 1375.74040 Berchio, Elvise; Gazzola, Filippo 39 2015 Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064 Gazzola, Filippo; Serrin, James; Tang, Moxun 39 2000 Decay and local eventual positivity for biharmonic parabolic equations. Zbl 1172.35029 Ferrero, Alberto; Gazzola, Filippo; Grunau, Hans-Christoph 38 2008 Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems. Zbl 1182.35109 Berchio, Elvise; Gazzola, Filippo; Weth, Tobias 35 2008 Partially overdetermined elliptic boundary value problems. Zbl 1156.35049 Fragalà, Ilaria; Gazzola, Filippo 35 2008 Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space. Zbl 1262.35109 Bonforte, Matteo; Gazzola, Filippo; Grillo, Gabriele; Vázquez, Juan Luis 35 2013 On a fourth order Steklov eigenvalue problem. Zbl 1112.49035 Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias 34 2005 On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089 Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo 31 2009 Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities. Zbl 1129.35349 Berchio, Elvise; Gazzola, Filippo 30 2005 Some results on \(p\)-Laplace equations with a critical growth term. Zbl 1131.35325 Arioli, Gianni; Gazzola, Filippo 30 1998 On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019 Gazzola, Filippo; Sweers, Guido 30 2008 Eventual local positivity for a biharmonic heat equation in \(\mathbb R^n\). Zbl 1153.35304 Gazzola, Filippo; Grunau, Hans-Christoph 29 2008 Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. Zbl 1406.35114 Escudero, Carlos; Gazzola, Filippo; Peral, Ireneo 29 2015 Existence and stability of entire solutions to a semilinear fourth order elliptic problem. Zbl 1235.35126 Berchio, Elvise; Farina, Alberto; Ferrero, Alberto; Gazzola, Filippo 25 2012 Nonlinearity in oscillating bridges. Zbl 1302.74022 Gazzola, Filippo 25 2013 Some remarks on the equation \(-\Delta u=\lambda(1+u)^p\) for varying \(\lambda,p\) and varying domains. Zbl 1010.35042 Gazzola, Filippo; Malchiodi, Andrea 24 2002 The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156 Bucur, Dorin; Gazzola, Filippo 24 2011 Multibump periodic motions of an infinite lattice of particles. Zbl 0871.34028 Arioli, G.; Gazzola, F.; Terracini, S. 23 1996 Torsional instability in suspension bridges: the Tacoma Narrows Bridge case. Zbl 1456.74062 Arioli, Gianni; Gazzola, Filippo 23 2017 Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452 Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira 22 2019 Critical dimensions and higher order Sobolev inequalities with remainder terms. Zbl 0990.46021 Gazzola, Filippo; Grunau, Hans-Christoph 21 2001 Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038 Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 21 2010 Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations. Zbl 1278.34036 Gazzola, Filippo; Pavani, Raffaella 20 2013 Critical growth problems for polyharmonic operators. Zbl 0926.35034 Gazzola, Filippo 20 1998 Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360 Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph 19 2006 Instability of modes in a partially hinged rectangular plate. Zbl 1361.35025 Ferreira, Vanderley jun.; Gazzola, Filippo; Moreira dos Santos, Ederson 19 2016 Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. Zbl 1141.46014 Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias 19 2007 Hardy-Rellich inequalities with boundary remainder terms and applications. Zbl 1187.35045 Berchio, Elvise; Cassani, Daniele; Gazzola, Filippo 19 2010 On subcriticality assumptions for the existence of ground states of quasilinear elliptic equations. Zbl 1290.35096 Ferrero, Alberto; Gazzola, Filippo 18 2003 Modeling suspension bridges through the von Kármán quasilinear plate equations. Zbl 1333.35060 Gazzola, Filippo; Wang, Yongda 18 2015 A sharp upper bound for the torsional rigidity of rods by means of web functions. Zbl 1021.74020 Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 17 2002 Critical growth biharmonic elliptic problems under Steklov-type boundary conditions. Zbl 1155.35018 Berchio, Elvise; Gazzola, Filippo; Weth, Tobias 17 2007 Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains. Zbl 1144.35386 Fragalà, Ilaria; Gazzola, Filippo; Lieberman, Gary 17 2005 On a long-standing conjecture by Pólya-Szegö and related topics. Zbl 1109.31003 Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 17 2005 Energy transfer between modes in a nonlinear beam equation. Zbl 1404.35277 Battisti, Ubertino; Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo 17 2017 A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity. Zbl 0895.76018 Gazzola, Filippo 17 1997 Nonlinear equations for beams and degenerate plates with piers. Zbl 1444.35006 Garrione, Maurizio; Gazzola, Filippo 17 2019 Qualitative behavior of global solutions to some nonlinear fourth order differential equations. Zbl 1236.34042 Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo; Karageorgis, Paschalis 16 2011 Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions. Zbl 1468.35104 Arioli, Gianni; Gazzola, Filippo; Koch, Hans 16 2021 Existence and numerical approximation of periodic motions of an infinite lattice of particles. Zbl 0838.34046 Arioli, G.; Gazzola, F. 15 1995 Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability. Zbl 1451.35107 Gazzola, Filippo; Sperone, Gianmarco 15 2020 Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay. Zbl 1131.35036 Gazzola, Filippo; Grunau, Hans-Christoph 15 2007 Existence of ground states and free-boundary problems for the prescribed mean-curvature equation. Zbl 1208.35181 Conti, Monica; Gazzola, Filippo 14 2002 Blow up oscillating solutions to some nonlinear fourth order differential equations. Zbl 1237.34043 Gazzola, Filippo; Pavani, Raffaella 14 2011 On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065 Arioli, Gianni; Gazzola, Filippo 14 2015 Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems? Zbl 1359.37055 Berchio, Elvise; Gazzola, Filippo; Zanini, Chiara 13 2016 Higher order linear parabolic equations. Zbl 1322.35052 Barbatis, Gerassimos; Gazzola, Filippo 13 2013 Gelfand type elliptic problems under Steklov boundary conditions. Zbl 1184.35132 Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario 12 2010 Minimization properties of Hill’s orbits and applications to some \(N\)-body problems. Zbl 0977.70006 Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna 12 2000 On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate. Zbl 1400.35092 Berchio, Elvise; Buoso, Davide; Gazzola, Filippo 12 2018 Some results about stationary Navier-Stokes equations with a pressure-dependent viscosity. Zbl 0940.35156 Gazzola, Filippo; Secchi, Paolo 11 1998 Some new properties of biharmonic heat kernels. Zbl 1170.35440 Gazzola, Filippo; Grunau, Hans-Christoph 11 2009 On the moments of solutions to linear parabolic equations involving the biharmonic operator. Zbl 1277.35196 Gazzola, Filippo 10 2013 The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. Zbl 1143.35329 Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo 10 2008 Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016 Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco 10 2019 A minimaxmax problem for improving the torsional stability of rectangular plates. Zbl 1392.35119 Berchio, Elvise; Buoso, Davide; Gazzola, Filippo; Zucco, Davide 10 2018 Sharp bounds for the \(p\)-torsion of convex planar domains. Zbl 1278.49050 Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy 10 2013 Existence and multiplicity results for quasilinear elliptic differential systems. Zbl 0942.35068 Arioli, Gianni; Gazzola, Filippo 9 2000 Convex shape optimization for the least biharmonic Steklov eigenvalue. Zbl 1263.35171 Antunes, Pedro Ricardo Simão; Gazzola, Filippo 9 2013 Critical growth quasilinear elliptic problems with shifting subcritical perturbation. Zbl 1030.35076 Gazzola, Filippo 9 2001 Existence of minima for nonconvex functionals in spaces of functions depending on the distance from the boundary. Zbl 0949.49010 Gazzola, Filippo 9 1999 Existence results for general critical growth semilinear elliptic equations. Zbl 1090.35529 Gazzola, Filippo; Lazzarino, Marco 9 2000 Loss of energy concentration in nonlinear evolution beam equations. Zbl 1403.35176 Garrione, Maurizio; Gazzola, Filippo 9 2017 Counterexamples to symmetry for partially overdetermined elliptic problems. Zbl 1180.35200 Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy; Pierre, Michel 9 2009 On an isoperimetric inequality for capacity conjectured by Pólya and Szegő. Zbl 1219.49034 Fragalà, Ilaria; Gazzola, Filippo; Pierre, Michel 9 2011 Long-time dynamics of a hinged-free plate driven by a nonconservative force. Zbl 1511.35043 Bonheure, Denis; Gazzola, Filippo; Lasiecka, Irena; Webster, Justin 9 2022 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Zbl 1013.35031 Gazzola, Filippo; Serrin, James 8 2002 Inflow-outflow problems for Euler equations in a rectangular cylinder. Zbl 0997.35054 Gazzola, Filippo; Secchi, Paolo 8 2001 Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168 Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo 8 2020 A new model for suspension bridges involving the convexification of the cables. Zbl 1440.35325 Crasta, Graziano; Falocchi, Alessio; Gazzola, Filippo 8 2020 Existence results for a fourth order partial differential equation arising in condensed matter physics. Zbl 1363.35080 Escudero, Carlos; Gazzola, Filippo; Hakl, Robert; Peral, Ireneo; Torres, Pedro José 8 2015 Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation. Zbl 1382.34061 Gasparetto, Carlo; Gazzola, Filippo 8 2018 Finite-time blow-up and global solutions for some nonlinear parabolic equations. Zbl 1150.35336 Gazzola, Filippo 8 2004 Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory. Zbl 0893.35030 Conti, Monica; Gazzola, Filippo 8 1996 On a quasilinear elliptic differential equation in unbounded domains. Zbl 0931.35048 Arioli, G.; Gazzola, F. 8 1998 Web functions: Survey of results and perspectives. Zbl 1019.49019 Crasta, Graziano; Gazzola, Filippo 7 2001 Attractors for a fluid-structure interaction problem in a time-dependent phase space. Zbl 1546.76023 Gazzola, Filippo; Pata, Vittorino; Patriarca, Clara 7 2024 An explicit threshold for the appearance of lift on the deck of a bridge. Zbl 1481.35311 Gazzola, Filippo; Patriarca, Clara 7 2022 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II. Zbl 1086.35041 Gazzola, Filippo; Peletier, Bert; Pucci, Patrizia; Serrin, James 6 2003 Long-time behavior of partially damped systems modeling degenerate plates with piers. Zbl 1476.35043 Gazzola, Filippo; Soufyane, Abdelaziz 6 2021 Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations. Zbl 1457.35036 Fragalà, Ilaria; Gazzola, Filippo; Sperone, Gianmarco 6 2020 Attractors for a fluid-structure interaction problem in a time-dependent phase space. Zbl 1546.76023 Gazzola, Filippo; Pata, Vittorino; Patriarca, Clara 7 2024 Equilibrium configurations of a symmetric body immersed in a stationary Navier-Stokes flow in a planar channel. Zbl 1541.35366 Berchio, Elvise; Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo; Perotto, Simona 2 2024 The evolution Navier-Stokes equations in a cube under Navier boundary conditions: rarefaction and uniqueness of global solutions. Zbl 1529.35331 Falocchi, Alessio; Gazzola, Filippo 1 2023 A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges. Zbl 1532.74060 Gazzola, Filippo; Jleli, Mohamed; Samet, Bessem 1 2023 Asymmetric equilibrium configurations of a body immersed in a 2d laminar flow. Zbl 1522.35396 Bocchi, Edoardo; Gazzola, Filippo 1 2023 Long-time dynamics of a hinged-free plate driven by a nonconservative force. Zbl 1511.35043 Bonheure, Denis; Gazzola, Filippo; Lasiecka, Irena; Webster, Justin 9 2022 An explicit threshold for the appearance of lift on the deck of a bridge. Zbl 1481.35311 Gazzola, Filippo; Patriarca, Clara 7 2022 Remarks on the 3D Stokes eigenvalue problem under Navier boundary conditions. Zbl 1490.35236 Falocchi, Alessio; Gazzola, Filippo 5 2022 Regularity for the 3D evolution Navier-Stokes equations under Navier boundary conditions in some Lipschitz domains. Zbl 1483.35151 Falocchi, Alessio; Gazzola, Filippo 3 2022 A connection between symmetry breaking for Sobolev minimizers and stationary Navier-Stokes flows past a circular obstacle. Zbl 1493.35066 Gazzola, Filippo; Sperone, Gianmarco; Weth, Tobias 3 2022 Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations. Zbl 1497.35257 Gazzola, Filippo; Sperone, Gianmarco 1 2022 Interactions between elasticity and fluid mechanics. Zbl 1504.74002 1 2022 Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions. Zbl 1468.35104 Arioli, Gianni; Gazzola, Filippo; Koch, Hans 16 2021 Long-time behavior of partially damped systems modeling degenerate plates with piers. Zbl 1476.35043 Gazzola, Filippo; Soufyane, Abdelaziz 6 2021 Dynamic optimization for beginners. With prerequisites and applications. Zbl 1477.49001 Cannarsa, Piermarco; Gazzola, Filippo 2 2021 A minimal time optimal control for a drone landing problem. Zbl 1479.49003 Gazzola, Filippo; Marchini, Elsa M. 2 2021 The moon lander optimal control problem revisited. Zbl 1495.49035 Gazzola, Filippo; Marchini, Elsa M. 2 2021 Bounds for Sobolev embedding constants in non-simply connected planar domains. Zbl 1473.35012 Gazzola, Filippo; Sperone, Gianmarco 1 2021 Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability. Zbl 1451.35107 Gazzola, Filippo; Sperone, Gianmarco 15 2020 Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168 Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo 8 2020 A new model for suspension bridges involving the convexification of the cables. Zbl 1440.35325 Crasta, Graziano; Falocchi, Alessio; Gazzola, Filippo 8 2020 Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations. Zbl 1457.35036 Fragalà, Ilaria; Gazzola, Filippo; Sperone, Gianmarco 6 2020 Stability analysis in some strongly prestressed rectangular plates. Zbl 1441.35038 Chu, Jifeng; Garrione, Maurizio; Gazzola, Filippo 6 2020 Linear theory for beams with intermediate piers. Zbl 1452.34033 Garrione, Maurizio; Gazzola, Filippo 6 2020 Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452 Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira 22 2019 Nonlinear equations for beams and degenerate plates with piers. Zbl 1444.35006 Garrione, Maurizio; Gazzola, Filippo 17 2019 Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016 Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco 10 2019 Boundary conditions for planar Stokes equations inducing vortices around concave corners. Zbl 1433.35223 Gazzola, Filippo; Sperone, Gianmarco 5 2019 On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate. Zbl 1400.35092 Berchio, Elvise; Buoso, Davide; Gazzola, Filippo 12 2018 A minimaxmax problem for improving the torsional stability of rectangular plates. Zbl 1392.35119 Berchio, Elvise; Buoso, Davide; Gazzola, Filippo; Zucco, Davide 10 2018 Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation. Zbl 1382.34061 Gasparetto, Carlo; Gazzola, Filippo 8 2018 Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges. Zbl 1390.74107 Gazzola, Filippo; Sperone, Gianmarco 4 2018 Variational formulation of the Melan equation. Zbl 1386.34040 Gazzola, Filippo; Wang, Yongda; Pavani, Raffaella 4 2018 Some solutions of minimaxmax problems for the torsional displacements of rectangular plates. Zbl 07803554 Antunes, Pedro R. S.; Gazzola, Filippo 3 2018 A model of synchronisation in crowd dynamics. Zbl 1480.90091 Gazzola, Filippo; Racic, Vitomir 2 2018 Torsional instability in suspension bridges: the Tacoma Narrows Bridge case. Zbl 1456.74062 Arioli, Gianni; Gazzola, Filippo 23 2017 Energy transfer between modes in a nonlinear beam equation. Zbl 1404.35277 Battisti, Ubertino; Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo 17 2017 Loss of energy concentration in nonlinear evolution beam equations. Zbl 1403.35176 Garrione, Maurizio; Gazzola, Filippo 9 2017 Existence of torsional solitons in a beam model of suspension bridge. Zbl 1373.35301 Benci, Vieri; Fortunato, Donato; Gazzola, Filippo 6 2017 A measure of the torsional performances of partially hinged rectangular plates. Zbl 1441.74105 Berchio, E.; Buoso, D.; Gazzola, F. 5 2017 Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions. Zbl 1329.74166 Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo 41 2016 Instability of modes in a partially hinged rectangular plate. Zbl 1361.35025 Ferreira, Vanderley jun.; Gazzola, Filippo; Moreira dos Santos, Ederson 19 2016 Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems? Zbl 1359.37055 Berchio, Elvise; Gazzola, Filippo; Zanini, Chiara 13 2016 Mathematical models for suspension bridges. Nonlinear structural instability. Zbl 1325.00032 Gazzola, Filippo 95 2015 A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012 Gazzola, Filippo; Ferrero, Alberto 71 2015 A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007 Arioli, Gianni; Gazzola, Filippo 41 2015 A qualitative explanation of the origin of torsional instability in suspension bridges. Zbl 1375.74040 Berchio, Elvise; Gazzola, Filippo 39 2015 Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. Zbl 1406.35114 Escudero, Carlos; Gazzola, Filippo; Peral, Ireneo 29 2015 Modeling suspension bridges through the von Kármán quasilinear plate equations. Zbl 1333.35060 Gazzola, Filippo; Wang, Yongda 18 2015 On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065 Arioli, Gianni; Gazzola, Filippo 14 2015 Existence results for a fourth order partial differential equation arising in condensed matter physics. Zbl 1363.35080 Escudero, Carlos; Gazzola, Filippo; Hakl, Robert; Peral, Ireneo; Torres, Pedro José 8 2015 Refined blow-up results for nonlinear fourth order differential equations. Zbl 1325.34046 Gazzola, Filippo; Karageorgis, Paschalis 5 2015 Hexagonal design for stiffening trusses. Zbl 1312.74024 Gazzola, Filippo 3 2015 The impact of nonlinear restoring forces acting on hinged elastic beams. Zbl 1333.34075 Gazzola, Filippo; Pavani, Raffaella 3 2015 The role of aerodynamic forces in a mathematical model for suspension bridges. Zbl 1354.37084 Gazzola, Filippo; Berchio, Elvise 3 2015 Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201 Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo 40 2014 On the Melan equation for suspension bridges. Zbl 1321.34047 Gazzola, Filippo; Jleli, Mohamed; Samet, Bessem 5 2014 Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space. Zbl 1262.35109 Bonforte, Matteo; Gazzola, Filippo; Grillo, Gabriele; Vázquez, Juan Luis 35 2013 Nonlinearity in oscillating bridges. Zbl 1302.74022 Gazzola, Filippo 25 2013 Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations. Zbl 1278.34036 Gazzola, Filippo; Pavani, Raffaella 20 2013 Higher order linear parabolic equations. Zbl 1322.35052 Barbatis, Gerassimos; Gazzola, Filippo 13 2013 On the moments of solutions to linear parabolic equations involving the biharmonic operator. Zbl 1277.35196 Gazzola, Filippo 10 2013 Sharp bounds for the \(p\)-torsion of convex planar domains. Zbl 1278.49050 Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy 10 2013 Convex shape optimization for the least biharmonic Steklov eigenvalue. Zbl 1263.35171 Antunes, Pedro Ricardo Simão; Gazzola, Filippo 9 2013 Existence and stability of entire solutions to a semilinear fourth order elliptic problem. Zbl 1235.35126 Berchio, Elvise; Farina, Alberto; Ferrero, Alberto; Gazzola, Filippo 25 2012 The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156 Bucur, Dorin; Gazzola, Filippo 24 2011 Qualitative behavior of global solutions to some nonlinear fourth order differential equations. Zbl 1236.34042 Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo; Karageorgis, Paschalis 16 2011 Blow up oscillating solutions to some nonlinear fourth order differential equations. Zbl 1237.34043 Gazzola, Filippo; Pavani, Raffaella 14 2011 On an isoperimetric inequality for capacity conjectured by Pólya and Szegő. Zbl 1219.49034 Fragalà, Ilaria; Gazzola, Filippo; Pierre, Michel 9 2011 Positive solutions to a linearly perturbed critical growth biharmonic problem. Zbl 1210.35063 Berchio, Elvise; Gazzola, Filippo 6 2011 Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains. Zbl 1239.35002 Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 422 2010 Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038 Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 21 2010 Hardy-Rellich inequalities with boundary remainder terms and applications. Zbl 1187.35045 Berchio, Elvise; Cassani, Daniele; Gazzola, Filippo 19 2010 Gelfand type elliptic problems under Steklov boundary conditions. Zbl 1184.35132 Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario 12 2010 Remainder terms in a higher order Sobolev inequality. Zbl 1215.46023 Gazzola, Filippo; Weth, Tobias 4 2010 On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089 Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo 31 2009 Some new properties of biharmonic heat kernels. Zbl 1170.35440 Gazzola, Filippo; Grunau, Hans-Christoph 11 2009 Counterexamples to symmetry for partially overdetermined elliptic problems. Zbl 1180.35200 Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy; Pierre, Michel 9 2009 Nodal solutions to critical growth elliptic problems under Steklov boundary conditions. Zbl 1167.35020 Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario 5 2009 Decay and local eventual positivity for biharmonic parabolic equations. Zbl 1172.35029 Ferrero, Alberto; Gazzola, Filippo; Grunau, Hans-Christoph 38 2008 Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems. Zbl 1182.35109 Berchio, Elvise; Gazzola, Filippo; Weth, Tobias 35 2008 Partially overdetermined elliptic boundary value problems. Zbl 1156.35049 Fragalà, Ilaria; Gazzola, Filippo 35 2008 On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019 Gazzola, Filippo; Sweers, Guido 30 2008 Eventual local positivity for a biharmonic heat equation in \(\mathbb R^n\). Zbl 1153.35304 Gazzola, Filippo; Grunau, Hans-Christoph 29 2008 The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. Zbl 1143.35329 Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo 10 2008 Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. Zbl 1141.46014 Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias 19 2007 Critical growth biharmonic elliptic problems under Steklov-type boundary conditions. Zbl 1155.35018 Berchio, Elvise; Gazzola, Filippo; Weth, Tobias 17 2007 Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay. Zbl 1131.35036 Gazzola, Filippo; Grunau, Hans-Christoph 15 2007 Some estimates for the torsional rigidity of composite rods. Zbl 1119.49024 Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 5 2007 Global solutions and finite time blow up for damped semilinear wave equations. Zbl 1094.35082 Gazzola, Filippo; Squassina, Marco 176 2006 Radial entire solutions for supercritical biharmonic equations. Zbl 1152.35034 Gazzola, Filippo; Grunau, Hans-Christoph 80 2006 Overdetermined problems with possibly degenerate ellipticity, a geometric approach. Zbl 1220.35077 Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd 52 2006 Positivity preserving property for a class of biharmonic elliptic problems. Zbl 1142.35016 Berchio, Elvise; Gazzola, Filippo; Mitidieri, Enzo 39 2006 Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360 Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph 19 2006 Best constants and minimizers for embeddings of second order Sobolev spaces. Zbl 1223.46031 Berchio, Elvise; Gazzola, Filippo 2 2006 Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level. Zbl 1212.35248 Gazzola, Filippo; Weth, Tobias 96 2005 A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339 Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo 66 2005 On a fourth order Steklov eigenvalue problem. Zbl 1112.49035 Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias 34 2005 Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities. Zbl 1129.35349 Berchio, Elvise; Gazzola, Filippo 30 2005 Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains. Zbl 1144.35386 Fragalà, Ilaria; Gazzola, Filippo; Lieberman, Gary 17 2005 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,127 Authors 88 Gazzola, Filippo 33 Berchio, Elvise 30 Xu, Runzhang 27 Zhou, Jun 23 Kang, Dongsheng 22 Grunau, Hans-Christoph 21 Ferrero, Alberto 21 Rădulescu, Vicenţiu D. 19 Figueiredo, Giovany Malcher 18 Guo, Zongming 16 Arioli, Gianni 16 Guo, Yuxia 15 Falocchi, Alessio 15 Peng, Shuangjie 15 Sweers, Guido H. 14 Buoso, Davide 14 Lam, Nguyen 14 Matevosyan, Hovik A. 14 Perera, Kanishka 13 Cianchi, Andrea 13 Fragalà, Ilaria 13 Lu, Guozhen 13 Wei, Juncheng 13 Yang, Yanbing 12 Bonheure, Denis 12 Mukiawa, Soh Edwin 12 Xu, Guangyu 11 Ganguly, Debdip 11 Karachik, Valeriĭ Valentinovich 11 Ma, Shiwang 11 Sperone, Gianmarco 11 Zou, Wenming 10 Afrouzi, Ghasem Alizadeh 10 Alves, Claudianor Oliveira 10 Glück, Jochen 10 Han, Pigong 10 Liu, Gongwei 10 Mihăilescu, Mihai 10 Miyagaki, Olimpio Hiroshi 10 Molica Bisci, Giovanni 10 Moreira dos Santos, Ederson 10 Okabe, Shinya 10 Squassina, Marco 10 Terracini, Susanna 10 Weth, Tobias 9 D’Ambrosio, Lorenzo 9 Dipierro, Serena 9 dos Santos, Gelson C. 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