Edit Profile (opens in new tab) Gazzola, Filippo Compute Distance To: Compute Author ID: gazzola.filippo Published as: Gazzola, Filippo; Gazzola, F. Documents Indexed: 149 Publications since 1992, including 5 Books 2 Contributions as Editor Co-Authors: 75 Co-Authors with 131 Joint Publications 1,883 Co-Co-Authors all top 5 Co-Authors 20 single-authored 19 Berchio, Elvise 16 Arioli, Gianni 14 Grunau, Hans-Christoph 12 Ferrero, Alberto 12 Fragalà, Ilaria 8 Sperone, Gianmarco 7 Crasta, Graziano 7 Weth, Tobias 5 Garrione, Maurizio 4 Pavani, Raffaella 3 Bonheure, Denis 3 Buoso, Davide 3 Falocchi, Alessio 3 Mitidieri, Enzo Luigi 3 Pierotti, Dario 3 Serrin, James 3 Sweers, Guido H. 2 Benci, Vieri 2 Bucur, Dorin 2 Conti, Monica C. 2 Grillo, Gabriele 2 Karageorgis, Paschalis 2 Kawohl, Bernd 2 Lamboley, Jimmy 2 Marchini, Elsa Maria 2 Moreira dos Santos, Ederson 2 Peral Alonso, Ireneo 2 Pierre, Michel 2 Secchi, Paolo 2 Squassina, Marco 2 Terracini, Susanna 2 Wang, Yongda 1 Al-Gwaiz, Mohammed A. 1 Antunes, Pedro Ricardo Simão 1 Barbatis, Gerassimos 1 Barucci, Emilio 1 Battisti, Ubertino 1 Bonforte, Matteo 1 Cannarsa, Piermarco 1 Cassani, Daniele 1 Catino, Giovanni 1 Chu, Jifeng 1 Farina, Alberto 1 Ferreira, Vanderley jun. 1 Fortunato, Donato 1 Galdi, Giovanni Paolo 1 Gasparetto, Carlo 1 Hakl, Robert 1 Ishige, Kazuhiro 1 Jleli, Mohamed Boussairi 1 Koch, Hans-Friedrich 1 Lazzarino, Marco 1 Lieberman, Gary M. 1 Malchiodi, Andrea 1 Mastrolia, Paolo 1 Nitsch, Carlo 1 Pata, Vittorino 1 Patriarca, Clara 1 Peletier, Lambertus Adrianus 1 Pisani, Lorenzo 1 Prouse, Giovanni 1 Pucci, Patrizia 1 Racic, Vitomir 1 Rădulescu, Vicenţiu D. 1 Ruf, Bernhard 1 Salani, Paolo 1 Samet, Bessem 1 Sardella, Mirko 1 Sassone, Edoardo 1 Soufyane, Abdelaziz 1 Tang, Moxun 1 Torres, Pedro José 1 Vazquez, Juan Luis 1 Zanini, Chiara 1 Zucco, Davide all top 5 Serials 9 Journal of Differential Equations 8 Discrete and Continuous Dynamical Systems 6 Archive for Rational Mechanics and Analysis 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Differential and Integral Equations 6 Calculus of Variations and Partial Differential Equations 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 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 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 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 SIAM Journal on Mathematical Analysis 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 2 Mathematics in Engineering 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 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 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 SpringerBriefs in Applied Sciences and Technology 1 EMS Textbooks in Mathematics all top 5 Fields 113 Partial differential equations (35-XX) 36 Mechanics of deformable solids (74-XX) 25 Ordinary differential equations (34-XX) 20 Fluid mechanics (76-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 13 Functional analysis (46-XX) 7 Potential theory (31-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-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 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 131 Publications have been cited 2,480 times in 1,589 Documents Cited by ▼ Year ▼ Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains. Zbl 1239.35002Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 242 2010 Existence of solutions for singular critical growth semilinear elliptic equations. Zbl 0997.35017Ferrero, Alberto; Gazzola, Filippo 145 2001 Global solutions and finite time blow up for damped semilinear wave equations. Zbl 1094.35082Gazzola, Filippo; Squassina, Marco 137 2006 Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd 100 2004 Hardy inequalities with optimal constants and remainder terms. Zbl 1079.46021Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo 83 2004 Radial entire solutions for supercritical biharmonic equations. Zbl 1152.35034Gazzola, Filippo; Grunau, Hans-Christoph 74 2006 Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level. Zbl 1212.35248Gazzola, Filippo; Weth, Tobias 73 2005 Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco 64 2003 A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012Gazzola, Filippo; Ferrero, Alberto 53 2015 A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo 52 2005 Mathematical models for suspension bridges. Nonlinear structural instability. Zbl 1325.00032Gazzola, Filippo 52 2015 Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508Gazzola, Filippo; Ruf, Bernhard 49 1997 Overdetermined problems with possibly degenerate ellipticity, a geometric approach. Zbl 1220.35077Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd 44 2006 Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064Gazzola, Filippo; Serrin, James; Tang, Moxun 36 2000 Periodic motions of an infinite lattice of particles with nearest neighbor interaction. Zbl 0867.70004Arioli, G.; Gazzola, F. 34 1996 A nonsmooth critical point theory approach to some nonlinear elliptic equations in \({\mathbb R}^n\). Zbl 0970.35033Gazzola, Filippo; Rădulescu, Vicenţiu 33 2000 Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo 32 2014 Positivity preserving property for a class of biharmonic elliptic problems. Zbl 1142.35016Berchio, Elvise; Gazzola, Filippo; Mitidieri, Enzo 31 2006 Partially overdetermined elliptic boundary value problems. Zbl 1156.35049Fragalà, Ilaria; Gazzola, Filippo 31 2008 Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems. Zbl 1182.35109Berchio, Elvise; Gazzola, Filippo; Weth, Tobias 30 2008 Decay and local eventual positivity for biharmonic parabolic equations. Zbl 1172.35029Ferrero, Alberto; Gazzola, Filippo; Grunau, Hans-Christoph 29 2008 Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions. Zbl 1329.74166Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo 29 2016 Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities. Zbl 1129.35349Berchio, Elvise; Gazzola, Filippo 28 2005 A qualitative explanation of the origin of torsional instability in suspension bridges. Zbl 1375.74040Berchio, Elvise; Gazzola, Filippo 27 2015 On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo 26 2009 On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019Gazzola, Filippo; Sweers, Guido 26 2008 On a fourth order Steklov eigenvalue problem. Zbl 1112.49035Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias 26 2005 Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space. Zbl 1262.35109Bonforte, Matteo; Gazzola, Filippo; Grillo, Gabriele; Vázquez, Juan Luis 26 2013 Some remarks on the equation \(-\Delta u=\lambda(1+u)^p\) for varying \(\lambda,p\) and varying domains. Zbl 1010.35042Gazzola, Filippo; Malchiodi, Andrea 22 2002 Some results on \(p\)-Laplace equations with a critical growth term. Zbl 1131.35325Arioli, Gianni; Gazzola, Filippo 22 1998 Nonlinearity in oscillating bridges. Zbl 1302.74022Gazzola, Filippo 22 2013 Multibump periodic motions of an infinite lattice of particles. Zbl 0871.34028Arioli, G.; Gazzola, F.; Terracini, S. 21 1996 Eventual local positivity for a biharmonic heat equation in \(\mathbb R^n\). Zbl 1153.35304Gazzola, Filippo; Grunau, Hans-Christoph 20 2008 Critical dimensions and higher order Sobolev inequalities with remainder terms. Zbl 0990.46021Gazzola, Filippo; Grunau, Hans-Christoph 19 2001 Existence and stability of entire solutions to a semilinear fourth order elliptic problem. Zbl 1235.35126Berchio, Elvise; Farina, Alberto; Ferrero, Alberto; Gazzola, Filippo 19 2012 Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 18 2010 Critical growth problems for polyharmonic operators. Zbl 0926.35034Gazzola, Filippo 18 1998 Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph 18 2006 Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations. Zbl 1278.34036Gazzola, Filippo; Pavani, Raffaella 18 2013 On a long-standing conjecture by Pólya-Szegö and related topics. Zbl 1109.31003Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 17 2005 The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156Bucur, Dorin; Gazzola, Filippo 17 2011 Hardy-Rellich inequalities with boundary remainder terms and applications. Zbl 1187.35045Berchio, Elvise; Cassani, Daniele; Gazzola, Filippo 17 2010 Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. Zbl 1141.46014Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias 16 2007 A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity. Zbl 0895.76018Gazzola, Filippo 16 1997 Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. Zbl 1406.35114Escudero, Carlos; Gazzola, Filippo; Peral, Ireneo 16 2015 Existence and numerical approximation of periodic motions of an infinite lattice of particles. Zbl 0838.34046Arioli, G.; Gazzola, F. 15 1995 A sharp upper bound for the torsional rigidity of rods by means of web functions. Zbl 1021.74020Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 14 2002 Qualitative behavior of global solutions to some nonlinear fourth order differential equations. Zbl 1236.34042Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo; Karageorgis, Paschalis 14 2011 Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay. Zbl 1131.35036Gazzola, Filippo; Grunau, Hans-Christoph 13 2007 Existence of ground states and free-boundary problems for the prescribed mean-curvature equation. Zbl 1208.35181Conti, Monica; Gazzola, Filippo 13 2002 On subcriticality assumptions for the existence of ground states of quasilinear elliptic equations. Zbl 1290.35096Ferrero, Alberto; Gazzola, Filippo 13 2003 Blow up oscillating solutions to some nonlinear fourth order differential equations. Zbl 1237.34043Gazzola, Filippo; Pavani, Raffaella 13 2011 Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains. Zbl 1144.35386Fragalà, Ilaria; Gazzola, Filippo; Lieberman, Gary 13 2005 Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira 13 2019 Instability of modes in a partially hinged rectangular plate. Zbl 1361.35025Ferreira, Vanderley jun.; Gazzola, Filippo; Moreira dos Santos, Ederson 13 2016 Critical growth biharmonic elliptic problems under Steklov-type boundary conditions. Zbl 1155.35018Berchio, Elvise; Gazzola, Filippo; Weth, Tobias 12 2007 Energy transfer between modes in a nonlinear beam equation. Zbl 1404.35277Battisti, Ubertino; Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo 12 2017 Higher order linear parabolic equations. Zbl 1322.35052Barbatis, Gerassimos; Gazzola, Filippo 12 2013 Some results about stationary Navier-Stokes equations with a pressure-dependent viscosity. Zbl 0940.35156Gazzola, Filippo; Secchi, Paolo 11 1998 Gelfand type elliptic problems under Steklov boundary conditions. Zbl 1184.35132Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario 11 2010 Modeling suspension bridges through the von Kármán quasilinear plate equations. Zbl 1333.35060Gazzola, Filippo; Wang, Yongda 11 2015 Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems? Zbl 1359.37055Berchio, Elvise; Gazzola, Filippo; Zanini, Chiara 11 2016 A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007Arioli, Gianni; Gazzola, Filippo 10 2015 Nonlinear equations for beams and degenerate plates with piers. Zbl 1444.35006Garrione, Maurizio; Gazzola, Filippo 10 2019 Some new properties of biharmonic heat kernels. Zbl 1170.35440Gazzola, Filippo; Grunau, Hans-Christoph 10 2009 On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate. Zbl 1400.35092Berchio, Elvise; Buoso, Davide; Gazzola, Filippo 10 2018 Minimization properties of Hill’s orbits and applications to some \(N\)-body problems. Zbl 0977.70006Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna 9 2000 Counterexamples to symmetry for partially overdetermined elliptic problems. Zbl 1180.35200Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy; Pierre, Michel 9 2009 Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability. Zbl 1451.35107Gazzola, Filippo; Sperone, Gianmarco 9 2020 Sharp bounds for the \(p\)-torsion of convex planar domains. Zbl 1278.49050Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy 9 2013 Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions. Zbl 1468.35104Arioli, Gianni; Gazzola, Filippo; Koch, Hans 8 2021 On an isoperimetric inequality for capacity conjectured by Pólya and Szegő. Zbl 1219.49034Fragalà, Ilaria; Gazzola, Filippo; Pierre, Michel 8 2011 Critical growth quasilinear elliptic problems with shifting subcritical perturbation. Zbl 1030.35076Gazzola, Filippo 8 2001 Existence and multiplicity results for quasilinear elliptic differential systems. Zbl 0942.35068Arioli, Gianni; Gazzola, Filippo 8 2000 Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco 8 2019 Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory. Zbl 0893.35030Conti, Monica; Gazzola, Filippo 8 1996 Existence of minima for nonconvex functionals in spaces of functions depending on the distance from the boundary. Zbl 0949.49010Gazzola, Filippo 8 1999 On the moments of solutions to linear parabolic equations involving the biharmonic operator. Zbl 1277.35196Gazzola, Filippo 8 2013 The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. Zbl 1143.35329Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo 8 2008 Convex shape optimization for the least biharmonic Steklov eigenvalue. Zbl 1263.35171Antunes, Pedro Ricardo Simão; Gazzola, Filippo 8 2013 Existence results for general critical growth semilinear elliptic equations. Zbl 1090.35529Gazzola, Filippo; Lazzarino, Marco 8 2000 Finite-time blow-up and global solutions for some nonlinear parabolic equations. Zbl 1150.35336Gazzola, Filippo 7 2004 A minimaxmax problem for improving the torsional stability of rectangular plates. Zbl 1392.35119Berchio, Elvise; Buoso, Davide; Gazzola, Filippo; Zucco, Davide 7 2018 On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065Arioli, Gianni; Gazzola, Filippo 7 2015 Web functions: Survey of results and perspectives. Zbl 1019.49019Crasta, Graziano; Gazzola, Filippo 6 2001 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Zbl 1013.35031Gazzola, Filippo; Serrin, James 6 2002 Inflow-outflow problems for Euler equations in a rectangular cylinder. Zbl 0997.35054Gazzola, Filippo; Secchi, Paolo 6 2001 Some estimates for the torsional rigidity of composite rods. Zbl 1119.49024Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 6 2007 Torsional instability in suspension bridges: the Tacoma Narrows Bridge case. Zbl 1456.74062Arioli, Gianni; Gazzola, Filippo 6 2017 The sharp exponent for a Liouville-type theorem for an elliptic inequality. Zbl 1156.31300Gazzola, Filippo 6 2002 Some estimates of the minimizing properties of web functions. Zbl 1026.49010Crasta, Graziano; Gazzola, Filippo 5 2002 Positive solutions to a linearly perturbed critical growth biharmonic problem. Zbl 1210.35063Berchio, Elvise; Gazzola, Filippo 5 2011 Quasilinear elliptic equations at critical growth. Zbl 0940.35088Arioli, Gianni; Gazzola, Filippo 5 1998 Weak solutions of quasilinear elliptic PDE’s at resonance. Zbl 0920.35050Arioli, Gianni; Gazzola, Filippo 5 1997 On a quasilinear elliptic differential equation in unbounded domains. Zbl 0931.35048Arioli, G.; Gazzola, F. 5 1998 Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation. Zbl 1382.34061Gasparetto, Carlo; Gazzola, Filippo 5 2018 Existence results for a fourth order partial differential equation arising in condensed matter physics. Zbl 1363.35080Escudero, Carlos; Gazzola, Filippo; Hakl, Robert; Peral, Ireneo; Torres, Pedro José 5 2015 On the role of space dimension \(n=2+2\sqrt{2}\) in the semilinear Brezis-Nirenberg eigenvalue problem. Zbl 0970.35088Gazzola, Filippo; Grunau, Hans-Christoph 4 2000 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II. Zbl 1086.35041Gazzola, Filippo; Peletier, Bert; Pucci, Patrizia; Serrin, James 4 2003 Refined blow-up results for nonlinear fourth order differential equations. Zbl 1325.34046Gazzola, Filippo; Karageorgis, Paschalis 4 2015 An explicit threshold for the appearance of lift on the deck of a bridge. Zbl 1481.35311Gazzola, Filippo; Patriarca, Clara 2 2022 Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions. Zbl 1468.35104Arioli, Gianni; Gazzola, Filippo; Koch, Hans 8 2021 Long-time behavior of partially damped systems modeling degenerate plates with piers. Zbl 1476.35043Gazzola, Filippo; Soufyane, Abdelaziz 3 2021 Bounds for Sobolev embedding constants in non-simply connected planar domains. Zbl 1473.35012Gazzola, Filippo; Sperone, Gianmarco 1 2021 Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability. Zbl 1451.35107Gazzola, Filippo; Sperone, Gianmarco 9 2020 Linear theory for beams with intermediate piers. Zbl 1452.34033Garrione, Maurizio; Gazzola, Filippo 3 2020 Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo 3 2020 Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations. Zbl 1457.35036Fragalà, Ilaria; Gazzola, Filippo; Sperone, Gianmarco 3 2020 Stability analysis in some strongly prestressed rectangular plates. Zbl 1441.35038Chu, Jifeng; Garrione, Maurizio; Gazzola, Filippo 2 2020 A new model for suspension bridges involving the convexification of the cables. Zbl 1440.35325Crasta, Graziano; Falocchi, Alessio; Gazzola, Filippo 1 2020 Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira 13 2019 Nonlinear equations for beams and degenerate plates with piers. Zbl 1444.35006Garrione, Maurizio; Gazzola, Filippo 10 2019 Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco 8 2019 Boundary conditions for planar Stokes equations inducing vortices around concave corners. Zbl 1433.35223Gazzola, Filippo; Sperone, Gianmarco 3 2019 On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate. Zbl 1400.35092Berchio, Elvise; Buoso, Davide; Gazzola, Filippo 10 2018 A minimaxmax problem for improving the torsional stability of rectangular plates. Zbl 1392.35119Berchio, Elvise; Buoso, Davide; Gazzola, Filippo; Zucco, Davide 7 2018 Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation. Zbl 1382.34061Gasparetto, Carlo; Gazzola, Filippo 5 2018 Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges. Zbl 1390.74107Gazzola, Filippo; Sperone, Gianmarco 3 2018 Variational formulation of the Melan equation. Zbl 1386.34040Gazzola, Filippo; Wang, Yongda; Pavani, Raffaella 2 2018 A model of synchronisation in crowd dynamics. Zbl 1480.90091Gazzola, Filippo; Racic, Vitomir 1 2018 Energy transfer between modes in a nonlinear beam equation. Zbl 1404.35277Battisti, Ubertino; Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo 12 2017 Torsional instability in suspension bridges: the Tacoma Narrows Bridge case. Zbl 1456.74062Arioli, Gianni; Gazzola, Filippo 6 2017 Existence of torsional solitons in a beam model of suspension bridge. Zbl 1373.35301Benci, Vieri; Fortunato, Donato; Gazzola, Filippo 4 2017 Loss of energy concentration in nonlinear evolution beam equations. Zbl 1403.35176Garrione, Maurizio; Gazzola, Filippo 3 2017 A measure of the torsional performances of partially hinged rectangular plates. Zbl 1441.74105Berchio, E.; Buoso, D.; Gazzola, F. 2 2017 Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions. Zbl 1329.74166Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo 29 2016 Instability of modes in a partially hinged rectangular plate. Zbl 1361.35025Ferreira, Vanderley jun.; Gazzola, Filippo; Moreira dos Santos, Ederson 13 2016 Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems? Zbl 1359.37055Berchio, Elvise; Gazzola, Filippo; Zanini, Chiara 11 2016 A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012Gazzola, Filippo; Ferrero, Alberto 53 2015 Mathematical models for suspension bridges. Nonlinear structural instability. Zbl 1325.00032Gazzola, Filippo 52 2015 A qualitative explanation of the origin of torsional instability in suspension bridges. Zbl 1375.74040Berchio, Elvise; Gazzola, Filippo 27 2015 Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. Zbl 1406.35114Escudero, Carlos; Gazzola, Filippo; Peral, Ireneo 16 2015 Modeling suspension bridges through the von Kármán quasilinear plate equations. Zbl 1333.35060Gazzola, Filippo; Wang, Yongda 11 2015 A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007Arioli, Gianni; Gazzola, Filippo 10 2015 On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065Arioli, Gianni; Gazzola, Filippo 7 2015 Existence results for a fourth order partial differential equation arising in condensed matter physics. Zbl 1363.35080Escudero, Carlos; Gazzola, Filippo; Hakl, Robert; Peral, Ireneo; Torres, Pedro José 5 2015 Refined blow-up results for nonlinear fourth order differential equations. Zbl 1325.34046Gazzola, Filippo; Karageorgis, Paschalis 4 2015 The role of aerodynamic forces in a mathematical model for suspension bridges. Zbl 1354.37084Gazzola, Filippo; Berchio, Elvise 2 2015 Hexagonal design for stiffening trusses. Zbl 1312.74024Gazzola, Filippo 2 2015 The impact of nonlinear restoring forces acting on hinged elastic beams. Zbl 1333.34075Gazzola, Filippo; Pavani, Raffaella 2 2015 Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo 32 2014 On the Melan equation for suspension bridges. Zbl 1321.34047Gazzola, Filippo; Jleli, Mohamed; Samet, Bessem 2 2014 Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space. Zbl 1262.35109Bonforte, Matteo; Gazzola, Filippo; Grillo, Gabriele; Vázquez, Juan Luis 26 2013 Nonlinearity in oscillating bridges. Zbl 1302.74022Gazzola, Filippo 22 2013 Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations. Zbl 1278.34036Gazzola, Filippo; Pavani, Raffaella 18 2013 Higher order linear parabolic equations. Zbl 1322.35052Barbatis, Gerassimos; Gazzola, Filippo 12 2013 Sharp bounds for the \(p\)-torsion of convex planar domains. Zbl 1278.49050Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy 9 2013 On the moments of solutions to linear parabolic equations involving the biharmonic operator. Zbl 1277.35196Gazzola, Filippo 8 2013 Convex shape optimization for the least biharmonic Steklov eigenvalue. Zbl 1263.35171Antunes, Pedro Ricardo Simão; Gazzola, Filippo 8 2013 Existence and stability of entire solutions to a semilinear fourth order elliptic problem. Zbl 1235.35126Berchio, Elvise; Farina, Alberto; Ferrero, Alberto; Gazzola, Filippo 19 2012 The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156Bucur, Dorin; Gazzola, Filippo 17 2011 Qualitative behavior of global solutions to some nonlinear fourth order differential equations. Zbl 1236.34042Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo; Karageorgis, Paschalis 14 2011 Blow up oscillating solutions to some nonlinear fourth order differential equations. Zbl 1237.34043Gazzola, Filippo; Pavani, Raffaella 13 2011 On an isoperimetric inequality for capacity conjectured by Pólya and Szegő. Zbl 1219.49034Fragalà, Ilaria; Gazzola, Filippo; Pierre, Michel 8 2011 Positive solutions to a linearly perturbed critical growth biharmonic problem. Zbl 1210.35063Berchio, Elvise; Gazzola, Filippo 5 2011 Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains. Zbl 1239.35002Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 242 2010 Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 18 2010 Hardy-Rellich inequalities with boundary remainder terms and applications. Zbl 1187.35045Berchio, Elvise; Cassani, Daniele; Gazzola, Filippo 17 2010 Gelfand type elliptic problems under Steklov boundary conditions. Zbl 1184.35132Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario 11 2010 Remainder terms in a higher order Sobolev inequality. Zbl 1215.46023Gazzola, Filippo; Weth, Tobias 3 2010 On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo 26 2009 Some new properties of biharmonic heat kernels. Zbl 1170.35440Gazzola, Filippo; Grunau, Hans-Christoph 10 2009 Counterexamples to symmetry for partially overdetermined elliptic problems. Zbl 1180.35200Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy; Pierre, Michel 9 2009 Nodal solutions to critical growth elliptic problems under Steklov boundary conditions. Zbl 1167.35020Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario 4 2009 Partially overdetermined elliptic boundary value problems. Zbl 1156.35049Fragalà, Ilaria; Gazzola, Filippo 31 2008 Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems. Zbl 1182.35109Berchio, Elvise; Gazzola, Filippo; Weth, Tobias 30 2008 Decay and local eventual positivity for biharmonic parabolic equations. Zbl 1172.35029Ferrero, Alberto; Gazzola, Filippo; Grunau, Hans-Christoph 29 2008 On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019Gazzola, Filippo; Sweers, Guido 26 2008 Eventual local positivity for a biharmonic heat equation in \(\mathbb R^n\). Zbl 1153.35304Gazzola, Filippo; Grunau, Hans-Christoph 20 2008 The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. Zbl 1143.35329Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo 8 2008 Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. Zbl 1141.46014Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias 16 2007 Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay. Zbl 1131.35036Gazzola, Filippo; Grunau, Hans-Christoph 13 2007 Critical growth biharmonic elliptic problems under Steklov-type boundary conditions. Zbl 1155.35018Berchio, Elvise; Gazzola, Filippo; Weth, Tobias 12 2007 Some estimates for the torsional rigidity of composite rods. Zbl 1119.49024Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 6 2007 Global solutions and finite time blow up for damped semilinear wave equations. Zbl 1094.35082Gazzola, Filippo; Squassina, Marco 137 2006 Radial entire solutions for supercritical biharmonic equations. Zbl 1152.35034Gazzola, Filippo; Grunau, Hans-Christoph 74 2006 Overdetermined problems with possibly degenerate ellipticity, a geometric approach. Zbl 1220.35077Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd 44 2006 Positivity preserving property for a class of biharmonic elliptic problems. Zbl 1142.35016Berchio, Elvise; Gazzola, Filippo; Mitidieri, Enzo 31 2006 Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph 18 2006 Best constants and minimizers for embeddings of second order Sobolev spaces. Zbl 1223.46031Berchio, Elvise; Gazzola, Filippo 2 2006 Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level. Zbl 1212.35248Gazzola, Filippo; Weth, Tobias 73 2005 A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo 52 2005 Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities. Zbl 1129.35349Berchio, Elvise; Gazzola, Filippo 28 2005 On a fourth order Steklov eigenvalue problem. Zbl 1112.49035Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias 26 2005 On a long-standing conjecture by Pólya-Szegö and related topics. Zbl 1109.31003Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 17 2005 Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains. Zbl 1144.35386Fragalà, Ilaria; Gazzola, Filippo; Lieberman, Gary 13 2005 No geometric approach for general overdetermined elliptic problems with nonconstant source. Zbl 1150.35070Gazzola, Filippo 4 2005 On the role of energy convexity in the web function approximation. Zbl 1068.49008Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 3 2005 Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd 100 2004 Hardy inequalities with optimal constants and remainder terms. Zbl 1079.46021Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo 83 2004 Finite-time blow-up and global solutions for some nonlinear parabolic equations. Zbl 1150.35336Gazzola, Filippo 7 2004 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. III. Zbl 1046.35043Ferrero, Alberto; Gazzola, Filippo 1 2004 Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco 64 2003 On subcriticality assumptions for the existence of ground states of quasilinear elliptic equations. Zbl 1290.35096Ferrero, Alberto; Gazzola, Filippo 13 2003 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II. Zbl 1086.35041Gazzola, Filippo; Peletier, Bert; Pucci, Patrizia; Serrin, James 4 2003 Some remarks on the equation \(-\Delta u=\lambda(1+u)^p\) for varying \(\lambda,p\) and varying domains. Zbl 1010.35042Gazzola, Filippo; Malchiodi, Andrea 22 2002 A sharp upper bound for the torsional rigidity of rods by means of web functions. Zbl 1021.74020Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo 14 2002 Existence of ground states and free-boundary problems for the prescribed mean-curvature equation. Zbl 1208.35181Conti, Monica; Gazzola, Filippo 13 2002 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Zbl 1013.35031Gazzola, Filippo; Serrin, James 6 2002 The sharp exponent for a Liouville-type theorem for an elliptic inequality. Zbl 1156.31300Gazzola, Filippo 6 2002 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,604 Authors 77 Gazzola, Filippo 30 Berchio, Elvise 26 Xu, Runzhang 23 Kang, Dongsheng 19 Ferrero, Alberto 19 Grunau, Hans-Christoph 19 Rădulescu, Vicenţiu D. 17 Zhou, Jun 16 Guo, Zongming 15 Arioli, Gianni 14 Peng, Shuangjie 13 Buoso, Davide 13 Figueiredo, Giovany Malcher 13 Fragalà, Ilaria 12 Cianchi, Andrea 12 Lam, Nguyen 12 Sweers, Guido H. 12 Yang, Yanbing 11 Chen, Jianqing 11 Wei, Juncheng 10 Han, Pigong 10 Karachik, Valeriĭ Valentinovich 10 Moreira dos Santos, Ederson 10 Squassina, Marco 10 Zou, Wenming 9 Afrouzi, Ghasem Alizadeh 9 Bonheure, Denis 9 D’Ambrosio, Lorenzo 9 Falocchi, Alessio 9 Glück, Jochen 9 Guo, Qianqiao 9 Han, Yuzhu 9 Lu, Guozhen 9 Ma, Shiwang 9 Mihăilescu, Mihai 9 Miyagaki, Olimpio Hiroshi 9 Sperone, Gianmarco 9 Xu, Guangyu 8 Alves, Claudianor Oliveira 8 Grillo, Gabriele 8 Guo, Yuxia 8 Lamberti, Pier Domenico 8 Matevosyan, Hovik A. 8 Molica Bisci, Giovanni 8 Mukiawa, Soh Edwin 8 Musina, Roberta 8 Santra, Sanjiban 8 Terracini, Susanna 8 Valdinoci, Enrico 8 Weth, Tobias 8 Zhou, Zhan 7 Cao, Daomin 7 Cassani, Daniele 7 Ciraolo, Giulio 7 Crasta, Graziano 7 dos Santos, Gelson C. G. 7 Ganguly, Debdip 7 Ghergu, Marius 7 Hsu, TsingSan 7 Ishige, Kazuhiro 7 Lai, Baishun 7 Liu, Gongwei 7 Nguyen Tuan Duy 7 Okabe, Shinya 7 Pucci, Patrizia 7 Tang, Chun-Lei 7 Trombetti, Cristina 7 Ye, Dong 6 Bucur, Dorin 6 Borges de Oliveira, Hermenegildo 6 Dipierro, Serena 6 Farina, Alberto 6 Kawakami, Tatsuki 6 Kutev, Nikolai D. 6 Nitsch, Carlo 6 Niu, Pengcheng 6 Perera, Kanishka 6 Provenzano, Luigi 6 Rajagopal, Kumbakonam Ramamani 6 Saldaña, Alberto 6 Takahashi, Futoshi 6 Tersenov, Aris Savvich 6 Vétois, Jérôme 6 Wang, Feizhi 6 Wang, Yanjin 6 Zhang, Hongwei 6 Zhang, Shiqing 5 Alberico, Angela 5 Antontsev, Stanislav Nikolaevich 5 Avkhadiev, Farit Gabidinovich 5 Bartsch, Thomas J. 5 Candela, Anna Maria 5 Chen, Guanwei 5 Chen, Shaohua 5 Chen, Yuxuan 5 Colasuonno, Francesca 5 Cowan, Craig 5 Di, Huafei 5 Felli, Veronica 5 Galaktionov, Victor Aleksandrovich ...and 1,504 more Authors all top 5 Cited in 288 Serials 165 Nonlinear Analysis. Theory, Methods & Applications. 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