## Gazzola, Filippo

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1239.35002
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
2010
Existence of solutions for singular critical growth semilinear elliptic equations. Zbl 0997.35017
Ferrero, Alberto; Gazzola, Filippo
2001
Global solutions and finite time blow up for damped semilinear wave equations. Zbl 1094.35082
Gazzola, Filippo; Squassina, Marco
2006
Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2004
Hardy inequalities with optimal constants and remainder terms. Zbl 1079.46021
Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2004
Radial entire solutions for supercritical biharmonic equations. Zbl 1152.35034
Gazzola, Filippo; Grunau, Hans-Christoph
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
2005
Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063
Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco
2003
A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012
Gazzola, Filippo; Ferrero, Alberto
2015
A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2005
Mathematical models for suspension bridges. Nonlinear structural instability. Zbl 1325.00032
Gazzola, Filippo
2015
Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations. Zbl 1023.35508
Gazzola, Filippo; Ruf, Bernhard
1997
Overdetermined problems with possibly degenerate ellipticity, a geometric approach. Zbl 1220.35077
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2006
Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064
Gazzola, Filippo; Serrin, James; Tang, Moxun
2000
Periodic motions of an infinite lattice of particles with nearest neighbor interaction. Zbl 0867.70004
Arioli, G.; Gazzola, F.
1996
A nonsmooth critical point theory approach to some nonlinear elliptic equations in $${\mathbb R}^n$$. Zbl 0970.35033
Gazzola, Filippo; Rădulescu, Vicenţiu
2000
Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201
Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo
2014
Positivity preserving property for a class of biharmonic elliptic problems. Zbl 1142.35016
Berchio, Elvise; Gazzola, Filippo; Mitidieri, Enzo
2006
Partially overdetermined elliptic boundary value problems. Zbl 1156.35049
Fragalà, Ilaria; Gazzola, Filippo
2008
Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems. Zbl 1182.35109
Berchio, Elvise; Gazzola, Filippo; Weth, Tobias
2008
Decay and local eventual positivity for biharmonic parabolic equations. Zbl 1172.35029
Ferrero, Alberto; Gazzola, Filippo; Grunau, Hans-Christoph
2008
Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions. Zbl 1329.74166
Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo
2016
Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities. Zbl 1129.35349
Berchio, Elvise; Gazzola, Filippo
2005
A qualitative explanation of the origin of torsional instability in suspension bridges. Zbl 1375.74040
Berchio, Elvise; Gazzola, Filippo
2015
On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089
Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo
2009
On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019
Gazzola, Filippo; Sweers, Guido
2008
On a fourth order Steklov eigenvalue problem. Zbl 1112.49035
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
2005
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
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
2002
Some results on $$p$$-Laplace equations with a critical growth term. Zbl 1131.35325
Arioli, Gianni; Gazzola, Filippo
1998
Nonlinearity in oscillating bridges. Zbl 1302.74022
Gazzola, Filippo
2013
Multibump periodic motions of an infinite lattice of particles. Zbl 0871.34028
Arioli, G.; Gazzola, F.; Terracini, S.
1996
Eventual local positivity for a biharmonic heat equation in $$\mathbb R^n$$. Zbl 1153.35304
Gazzola, Filippo; Grunau, Hans-Christoph
2008
Critical dimensions and higher order Sobolev inequalities with remainder terms. Zbl 0990.46021
Gazzola, Filippo; Grunau, Hans-Christoph
2001
Existence and stability of entire solutions to a semilinear fourth order elliptic problem. Zbl 1235.35126
Berchio, Elvise; Farina, Alberto; Ferrero, Alberto; Gazzola, Filippo
2012
Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
2010
Critical growth problems for polyharmonic operators. Zbl 0926.35034
Gazzola, Filippo
1998
Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph
2006
Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations. Zbl 1278.34036
Gazzola, Filippo; Pavani, Raffaella
2013
On a long-standing conjecture by Pólya-Szegö and related topics. Zbl 1109.31003
Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo
2005
The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156
Bucur, Dorin; Gazzola, Filippo
2011
Hardy-Rellich inequalities with boundary remainder terms and applications. Zbl 1187.35045
Berchio, Elvise; Cassani, Daniele; Gazzola, Filippo
2010
Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. Zbl 1141.46014
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
2007
A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity. Zbl 0895.76018
Gazzola, Filippo
1997
Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. Zbl 1406.35114
Escudero, Carlos; Gazzola, Filippo; Peral, Ireneo
2015
Existence and numerical approximation of periodic motions of an infinite lattice of particles. Zbl 0838.34046
Arioli, G.; Gazzola, F.
1995
A sharp upper bound for the torsional rigidity of rods by means of web functions. Zbl 1021.74020
Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo
2002
Qualitative behavior of global solutions to some nonlinear fourth order differential equations. Zbl 1236.34042
Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo; Karageorgis, Paschalis
2011
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
2007
Existence of ground states and free-boundary problems for the prescribed mean-curvature equation. Zbl 1208.35181
Conti, Monica; Gazzola, Filippo
2002
On subcriticality assumptions for the existence of ground states of quasilinear elliptic equations. Zbl 1290.35096
Ferrero, Alberto; Gazzola, Filippo
2003
Blow up oscillating solutions to some nonlinear fourth order differential equations. Zbl 1237.34043
Gazzola, Filippo; Pavani, Raffaella
2011
Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains. Zbl 1144.35386
Fragalà, Ilaria; Gazzola, Filippo; Lieberman, Gary
2005
Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452
Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira
2019
Instability of modes in a partially hinged rectangular plate. Zbl 1361.35025
Ferreira, Vanderley jun.; Gazzola, Filippo; Moreira dos Santos, Ederson
2016
Critical growth biharmonic elliptic problems under Steklov-type boundary conditions. Zbl 1155.35018
Berchio, Elvise; Gazzola, Filippo; Weth, Tobias
2007
Energy transfer between modes in a nonlinear beam equation. Zbl 1404.35277
Battisti, Ubertino; Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo
2017
Higher order linear parabolic equations. Zbl 1322.35052
Barbatis, Gerassimos; Gazzola, Filippo
2013
Some results about stationary Navier-Stokes equations with a pressure-dependent viscosity. Zbl 0940.35156
Gazzola, Filippo; Secchi, Paolo
1998
Gelfand type elliptic problems under Steklov boundary conditions. Zbl 1184.35132
Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario
2010
Modeling suspension bridges through the von Kármán quasilinear plate equations. Zbl 1333.35060
Gazzola, Filippo; Wang, Yongda
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
2016
A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007
Arioli, Gianni; Gazzola, Filippo
2015
Nonlinear equations for beams and degenerate plates with piers. Zbl 1444.35006
Garrione, Maurizio; Gazzola, Filippo
2019
Some new properties of biharmonic heat kernels. Zbl 1170.35440
Gazzola, Filippo; Grunau, Hans-Christoph
2009
On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate. Zbl 1400.35092
Berchio, Elvise; Buoso, Davide; Gazzola, Filippo
2018
Minimization properties of Hill’s orbits and applications to some $$N$$-body problems. Zbl 0977.70006
Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna
2000
Counterexamples to symmetry for partially overdetermined elliptic problems. Zbl 1180.35200
Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy; Pierre, Michel
2009
Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability. Zbl 1451.35107
Gazzola, Filippo; Sperone, Gianmarco
2020
Sharp bounds for the $$p$$-torsion of convex planar domains. Zbl 1278.49050
Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy
2013
Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions. Zbl 1468.35104
Arioli, Gianni; Gazzola, Filippo; Koch, Hans
2021
On an isoperimetric inequality for capacity conjectured by Pólya and Szegő. Zbl 1219.49034
Fragalà, Ilaria; Gazzola, Filippo; Pierre, Michel
2011
Critical growth quasilinear elliptic problems with shifting subcritical perturbation. Zbl 1030.35076
Gazzola, Filippo
2001
Existence and multiplicity results for quasilinear elliptic differential systems. Zbl 0942.35068
Arioli, Gianni; Gazzola, Filippo
2000
Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016
Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco
2019
Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory. Zbl 0893.35030
Conti, Monica; Gazzola, Filippo
1996
Existence of minima for nonconvex functionals in spaces of functions depending on the distance from the boundary. Zbl 0949.49010
Gazzola, Filippo
1999
On the moments of solutions to linear parabolic equations involving the biharmonic operator. Zbl 1277.35196
Gazzola, Filippo
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
2008
Convex shape optimization for the least biharmonic Steklov eigenvalue. Zbl 1263.35171
Antunes, Pedro Ricardo Simão; Gazzola, Filippo
2013
Existence results for general critical growth semilinear elliptic equations. Zbl 1090.35529
Gazzola, Filippo; Lazzarino, Marco
2000
Finite-time blow-up and global solutions for some nonlinear parabolic equations. Zbl 1150.35336
Gazzola, Filippo
2004
A minimaxmax problem for improving the torsional stability of rectangular plates. Zbl 1392.35119
Berchio, Elvise; Buoso, Davide; Gazzola, Filippo; Zucco, Davide
2018
On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065
Arioli, Gianni; Gazzola, Filippo
2015
Web functions: Survey of results and perspectives. Zbl 1019.49019
Crasta, Graziano; Gazzola, Filippo
2001
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Zbl 1013.35031
Gazzola, Filippo; Serrin, James
2002
Inflow-outflow problems for Euler equations in a rectangular cylinder. Zbl 0997.35054
Gazzola, Filippo; Secchi, Paolo
2001
Some estimates for the torsional rigidity of composite rods. Zbl 1119.49024
Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo
2007
Torsional instability in suspension bridges: the Tacoma Narrows Bridge case. Zbl 1456.74062
Arioli, Gianni; Gazzola, Filippo
2017
The sharp exponent for a Liouville-type theorem for an elliptic inequality. Zbl 1156.31300
Gazzola, Filippo
2002
Some estimates of the minimizing properties of web functions. Zbl 1026.49010
Crasta, Graziano; Gazzola, Filippo
2002
Positive solutions to a linearly perturbed critical growth biharmonic problem. Zbl 1210.35063
Berchio, Elvise; Gazzola, Filippo
2011
Quasilinear elliptic equations at critical growth. Zbl 0940.35088
Arioli, Gianni; Gazzola, Filippo
1998
Weak solutions of quasilinear elliptic PDE’s at resonance. Zbl 0920.35050
Arioli, Gianni; Gazzola, Filippo
1997
On a quasilinear elliptic differential equation in unbounded domains. Zbl 0931.35048
Arioli, G.; Gazzola, F.
1998
Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation. Zbl 1382.34061
Gasparetto, Carlo; Gazzola, Filippo
2018
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
2015
On the role of space dimension $$n=2+2\sqrt{2}$$ in the semilinear Brezis-Nirenberg eigenvalue problem. Zbl 0970.35088
Gazzola, Filippo; Grunau, Hans-Christoph
2000
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
2003
Refined blow-up results for nonlinear fourth order differential equations. Zbl 1325.34046
Gazzola, Filippo; Karageorgis, Paschalis
2015
An explicit threshold for the appearance of lift on the deck of a bridge. Zbl 1481.35311
Gazzola, Filippo; Patriarca, Clara
2022
Uniqueness and bifurcation branches for planar steady Navier-Stokes equations under Navier boundary conditions. Zbl 1468.35104
Arioli, Gianni; Gazzola, Filippo; Koch, Hans
2021
Long-time behavior of partially damped systems modeling degenerate plates with piers. Zbl 1476.35043
Gazzola, Filippo; Soufyane, Abdelaziz
2021
Bounds for Sobolev embedding constants in non-simply connected planar domains. Zbl 1473.35012
Gazzola, Filippo; Sperone, Gianmarco
2021
Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability. Zbl 1451.35107
Gazzola, Filippo; Sperone, Gianmarco
2020
Linear theory for beams with intermediate piers. Zbl 1452.34033
Garrione, Maurizio; Gazzola, Filippo
2020
Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168
Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo
2020
Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations. Zbl 1457.35036
Fragalà, Ilaria; Gazzola, Filippo; Sperone, Gianmarco
2020
Stability analysis in some strongly prestressed rectangular plates. Zbl 1441.35038
Chu, Jifeng; Garrione, Maurizio; Gazzola, Filippo
2020
A new model for suspension bridges involving the convexification of the cables. Zbl 1440.35325
Crasta, Graziano; Falocchi, Alessio; Gazzola, Filippo
2020
Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452
Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira
2019
Nonlinear equations for beams and degenerate plates with piers. Zbl 1444.35006
Garrione, Maurizio; Gazzola, Filippo
2019
Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016
Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco
2019
Boundary conditions for planar Stokes equations inducing vortices around concave corners. Zbl 1433.35223
Gazzola, Filippo; Sperone, Gianmarco
2019
On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate. Zbl 1400.35092
Berchio, Elvise; Buoso, Davide; Gazzola, Filippo
2018
A minimaxmax problem for improving the torsional stability of rectangular plates. Zbl 1392.35119
Berchio, Elvise; Buoso, Davide; Gazzola, Filippo; Zucco, Davide
2018
Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation. Zbl 1382.34061
Gasparetto, Carlo; Gazzola, Filippo
2018
Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges. Zbl 1390.74107
Gazzola, Filippo; Sperone, Gianmarco
2018
Variational formulation of the Melan equation. Zbl 1386.34040
Gazzola, Filippo; Wang, Yongda; Pavani, Raffaella
2018
A model of synchronisation in crowd dynamics. Zbl 1480.90091
Gazzola, Filippo; Racic, Vitomir
2018
Energy transfer between modes in a nonlinear beam equation. Zbl 1404.35277
Battisti, Ubertino; Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo
2017
Torsional instability in suspension bridges: the Tacoma Narrows Bridge case. Zbl 1456.74062
Arioli, Gianni; Gazzola, Filippo
2017
Existence of torsional solitons in a beam model of suspension bridge. Zbl 1373.35301
Benci, Vieri; Fortunato, Donato; Gazzola, Filippo
2017
Loss of energy concentration in nonlinear evolution beam equations. Zbl 1403.35176
Garrione, Maurizio; Gazzola, Filippo
2017
A measure of the torsional performances of partially hinged rectangular plates. Zbl 1441.74105
Berchio, E.; Buoso, D.; Gazzola, F.
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
2016
Instability of modes in a partially hinged rectangular plate. Zbl 1361.35025
Ferreira, Vanderley jun.; Gazzola, Filippo; Moreira dos Santos, Ederson
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
2016
A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012
Gazzola, Filippo; Ferrero, Alberto
2015
Mathematical models for suspension bridges. Nonlinear structural instability. Zbl 1325.00032
Gazzola, Filippo
2015
A qualitative explanation of the origin of torsional instability in suspension bridges. Zbl 1375.74040
Berchio, Elvise; Gazzola, Filippo
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
2015
Modeling suspension bridges through the von Kármán quasilinear plate equations. Zbl 1333.35060
Gazzola, Filippo; Wang, Yongda
2015
A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007
Arioli, Gianni; Gazzola, Filippo
2015
On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065
Arioli, Gianni; Gazzola, Filippo
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
2015
Refined blow-up results for nonlinear fourth order differential equations. Zbl 1325.34046
Gazzola, Filippo; Karageorgis, Paschalis
2015
The role of aerodynamic forces in a mathematical model for suspension bridges. Zbl 1354.37084
Gazzola, Filippo; Berchio, Elvise
2015
Hexagonal design for stiffening trusses. Zbl 1312.74024
Gazzola, Filippo
2015
The impact of nonlinear restoring forces acting on hinged elastic beams. Zbl 1333.34075
Gazzola, Filippo; Pavani, Raffaella
2015
Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201
Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo
2014
On the Melan equation for suspension bridges. Zbl 1321.34047
Gazzola, Filippo; Jleli, Mohamed; Samet, Bessem
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
2013
Nonlinearity in oscillating bridges. Zbl 1302.74022
Gazzola, Filippo
2013
Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations. Zbl 1278.34036
Gazzola, Filippo; Pavani, Raffaella
2013
Higher order linear parabolic equations. Zbl 1322.35052
Barbatis, Gerassimos; Gazzola, Filippo
2013
Sharp bounds for the $$p$$-torsion of convex planar domains. Zbl 1278.49050
Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy
2013
On the moments of solutions to linear parabolic equations involving the biharmonic operator. Zbl 1277.35196
Gazzola, Filippo
2013
Convex shape optimization for the least biharmonic Steklov eigenvalue. Zbl 1263.35171
Antunes, Pedro Ricardo Simão; Gazzola, Filippo
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
2012
The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156
Bucur, Dorin; Gazzola, Filippo
2011
Qualitative behavior of global solutions to some nonlinear fourth order differential equations. Zbl 1236.34042
Berchio, Elvise; Ferrero, Alberto; Gazzola, Filippo; Karageorgis, Paschalis
2011
Blow up oscillating solutions to some nonlinear fourth order differential equations. Zbl 1237.34043
Gazzola, Filippo; Pavani, Raffaella
2011
On an isoperimetric inequality for capacity conjectured by Pólya and Szegő. Zbl 1219.49034
Fragalà, Ilaria; Gazzola, Filippo; Pierre, Michel
2011
Positive solutions to a linearly perturbed critical growth biharmonic problem. Zbl 1210.35063
Berchio, Elvise; Gazzola, Filippo
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
2010
Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
2010
Hardy-Rellich inequalities with boundary remainder terms and applications. Zbl 1187.35045
Berchio, Elvise; Cassani, Daniele; Gazzola, Filippo
2010
Gelfand type elliptic problems under Steklov boundary conditions. Zbl 1184.35132
Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario
2010
Remainder terms in a higher order Sobolev inequality. Zbl 1215.46023
Gazzola, Filippo; Weth, Tobias
2010
On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089
Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo
2009
Some new properties of biharmonic heat kernels. Zbl 1170.35440
Gazzola, Filippo; Grunau, Hans-Christoph
2009
Counterexamples to symmetry for partially overdetermined elliptic problems. Zbl 1180.35200
Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy; Pierre, Michel
2009
Nodal solutions to critical growth elliptic problems under Steklov boundary conditions. Zbl 1167.35020
Berchio, Elvise; Gazzola, Filippo; Pierotti, Dario
2009
Partially overdetermined elliptic boundary value problems. Zbl 1156.35049
Fragalà, Ilaria; Gazzola, Filippo
2008
Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems. Zbl 1182.35109
Berchio, Elvise; Gazzola, Filippo; Weth, Tobias
2008
Decay and local eventual positivity for biharmonic parabolic equations. Zbl 1172.35029
Ferrero, Alberto; Gazzola, Filippo; Grunau, Hans-Christoph
2008
On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019
Gazzola, Filippo; Sweers, Guido
2008
Eventual local positivity for a biharmonic heat equation in $$\mathbb R^n$$. Zbl 1153.35304
Gazzola, Filippo; Grunau, Hans-Christoph
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
2008
Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. Zbl 1141.46014
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
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
2007
Critical growth biharmonic elliptic problems under Steklov-type boundary conditions. Zbl 1155.35018
Berchio, Elvise; Gazzola, Filippo; Weth, Tobias
2007
Some estimates for the torsional rigidity of composite rods. Zbl 1119.49024
Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo
2007
Global solutions and finite time blow up for damped semilinear wave equations. Zbl 1094.35082
Gazzola, Filippo; Squassina, Marco
2006
Radial entire solutions for supercritical biharmonic equations. Zbl 1152.35034
Gazzola, Filippo; Grunau, Hans-Christoph
2006
Overdetermined problems with possibly degenerate ellipticity, a geometric approach. Zbl 1220.35077
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2006
Positivity preserving property for a class of biharmonic elliptic problems. Zbl 1142.35016
Berchio, Elvise; Gazzola, Filippo; Mitidieri, Enzo
2006
Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph
2006
Best constants and minimizers for embeddings of second order Sobolev spaces. Zbl 1223.46031
Berchio, Elvise; Gazzola, Filippo
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
2005
A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2005
Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities. Zbl 1129.35349
Berchio, Elvise; Gazzola, Filippo
2005
On a fourth order Steklov eigenvalue problem. Zbl 1112.49035
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
2005
On a long-standing conjecture by Pólya-Szegö and related topics. Zbl 1109.31003
Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo
2005
Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains. Zbl 1144.35386
Fragalà, Ilaria; Gazzola, Filippo; Lieberman, Gary
2005
No geometric approach for general overdetermined elliptic problems with nonconstant source. Zbl 1150.35070
Gazzola, Filippo
2005
On the role of energy convexity in the web function approximation. Zbl 1068.49008
Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo
2005
Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2004
Hardy inequalities with optimal constants and remainder terms. Zbl 1079.46021
Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2004
Finite-time blow-up and global solutions for some nonlinear parabolic equations. Zbl 1150.35336
Gazzola, Filippo
2004
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. III. Zbl 1046.35043
Ferrero, Alberto; Gazzola, Filippo
2004
Existence and nonexistence results for critical growth biharmonic elliptic equations. Zbl 1290.35063
Gazzola, Filippo; Grunau, Hans-Christoph; Squassina, Marco
2003
On subcriticality assumptions for the existence of ground states of quasilinear elliptic equations. Zbl 1290.35096
Ferrero, Alberto; Gazzola, Filippo
2003
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
2003
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
2002
A sharp upper bound for the torsional rigidity of rods by means of web functions. Zbl 1021.74020
Crasta, Graziano; Fragalà, Ilaria; Gazzola, Filippo
2002
Existence of ground states and free-boundary problems for the prescribed mean-curvature equation. Zbl 1208.35181
Conti, Monica; Gazzola, Filippo
2002
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Zbl 1013.35031
Gazzola, Filippo; Serrin, James
2002
The sharp exponent for a Liouville-type theorem for an elliptic inequality. Zbl 1156.31300
Gazzola, Filippo
2002
...and 31 more Documents
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### 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
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### Cited in 288 Serials

 165 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 107 Journal of Mathematical Analysis and Applications 100 Journal of Differential Equations 56 Calculus of Variations and Partial Differential Equations 35 Communications on Pure and Applied Analysis 34 Boundary Value Problems 33 Annali di Matematica Pura ed Applicata. Serie Quarta 30 Communications in Contemporary Mathematics 28 Journal of Functional Analysis 24 Proceedings of the American Mathematical Society 23 Discrete and Continuous Dynamical Systems 22 Applied Mathematics Letters 19 NoDEA. Nonlinear Differential Equations and Applications 19 Nonlinear Analysis. Real World Applications 18 Applicable Analysis 18 Advanced Nonlinear Studies 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Complex Variables and Elliptic Equations 17 Advances in Nonlinear Analysis 16 Archive for Rational Mechanics and Analysis 15 Mathematical Methods in the Applied Sciences 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Applied Mathematics and Computation 14 Computers & Mathematics with Applications 13 Discrete and Continuous Dynamical Systems. Series S 12 Mediterranean Journal of Mathematics 11 Applied Mathematics and Optimization 11 Mathematische Annalen 11 Transactions of the American Mathematical Society 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 SIAM Journal on Mathematical Analysis 11 Abstract and Applied Analysis 10 Advances in Mathematics 10 Mathematische Nachrichten 10 The Journal of Geometric Analysis 10 Electronic Research Archive 9 Journal of Inequalities and Applications 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Science China. Mathematics 8 Archiv der Mathematik 8 Integral Equations and Operator Theory 8 Communications in Partial Differential Equations 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Electronic Journal of Differential Equations (EJDE) 8 Opuscula Mathematica 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Nonlinearity 7 Manuscripta Mathematica 7 Milan Journal of Mathematics 6 Journal d’Analyse Mathématique 6 Rocky Mountain Journal of Mathematics 6 Mathematische Zeitschrift 6 Monatshefte für Mathematik 6 Applied Mathematical Modelling 6 Topological Methods in Nonlinear Analysis 6 Mathematical Inequalities & Applications 6 Journal of Elliptic and Parabolic Equations 5 Journal of Mathematical Physics 5 Bulletin des Sciences Mathématiques 5 Lobachevskii Journal of Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 5 Advances in Difference Equations 5 Analysis & PDE 5 Evolution Equations and Control Theory 5 SN Partial Differential Equations and Applications 4 Journal of Computational and Applied Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Ricerche di Matematica 4 Zeitschrift für Analysis und ihre Anwendungen 4 Physica D 4 International Journal of Mathematics 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Potential Analysis 4 Russian Journal of Mathematical Physics 4 Journal of Mathematical Sciences (New York) 4 Filomat 4 Positivity 4 Taiwanese Journal of Mathematics 4 Journal of Mathematical Fluid Mechanics 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Evolution Equations 4 Acta Mathematica Scientia. Series B. (English Edition) 4 SIAM Journal on Applied Dynamical Systems 4 Journal of Fixed Point Theory and Applications 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Journal of Spectral Theory 4 Mathematics in Engineering 3 Communications in Mathematical Physics 3 Israel Journal of Mathematics 3 Mathematical Notes 3 Journal of Geometry and Physics 3 Journal of Optimization Theory and Applications 3 Siberian Mathematical Journal 3 Studies in Applied Mathematics 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Publicacions Matemàtiques 3 SIAM Journal on Applied Mathematics 3 Journal of Dynamics and Differential Equations ...and 188 more Serials
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### Cited in 41 Fields

 1,358 Partial differential equations (35-XX) 123 Mechanics of deformable solids (74-XX) 119 Potential theory (31-XX) 107 Global analysis, analysis on manifolds (58-XX) 102 Functional analysis (46-XX) 95 Real functions (26-XX) 95 Operator theory (47-XX) 94 Ordinary differential equations (34-XX) 87 Calculus of variations and optimal control; optimization (49-XX) 63 Fluid mechanics (76-XX) 54 Numerical analysis (65-XX) 46 Differential geometry (53-XX) 38 Dynamical systems and ergodic theory (37-XX) 22 Mechanics of particles and systems (70-XX) 21 Difference and functional equations (39-XX) 18 Integral equations (45-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Probability theory and stochastic processes (60-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Special functions (33-XX) 8 Abstract harmonic analysis (43-XX) 7 Convex and discrete geometry (52-XX) 6 Biology and other natural sciences (92-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 5 Systems theory; control (93-XX) 4 Optics, electromagnetic theory (78-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)