Home

My Web Page at Politecnico

Google Chrome Profile

Research

PhD students

 

Papers by Filippo Gazzola

 

1

F. Gazzola, Existence and uniqueness results for a generalized stationary Navier-Stokes equation, Rend. Ist. Lombardo (Scienze) 126, 1992, 181-199

2

F. Gazzola, On stationary Navier-Stokes equations with a pressure-dependent viscosity, Rend. Ist. Lombardo (Scienze) 128, 1994, 107-119

3

F. Gazzola, An attractor for a 3D Navier-Stokes type equation, Zeit. Anal. Anwend. 14, 1995, 509-522    PS file

4

F. Gazzola, On a decomposition of the Hilbert space L2  and its applications to Stokes problem, Ann. Univ. Ferrara 41, 1995, 95-115    PDF file

5

G. Arioli, F. Gazzola, Existence and numerical approximation of periodic motions of an infinite lattice of particles, Zeit. Angew. Math. Pys. 46, 1995, 898-912    PDF file

6

G. Arioli, F. Gazzola, Periodic motions of an infinite lattice of particles with nearest neighbor interaction, Nonlinear Analysis T.M.A. 26, 1996, 1103-1114    PDF file

7

M. Conti, F. Gazzola, Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory, Top. Meth. Nonlin. Anal. 8, 1996, 275-294    PDF file

8

G. Arioli, F. Gazzola, S. Terracini, Multibump periodic motions of an infinite lattice of particles, Math. Zeit. 223, 1996, 627-642    PDF file

9

F. Gazzola, Periodic motions in lattices of particles, Proc. Dynamic Systems and Applications Vol. 2, Dynamic Publishers Inc. 1996, 183-190     PDF file

10

F. Gazzola, V. Pata, A uniform attractor for a nonautonomous generalized Navier-Stokes equation, Zeit. Anal. Anwend. 16, 1997, 435-449     PS file

11

F. Gazzola, A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity, Zeit. Angew. Math. Phys. 48, 1997, 760-773     PDF file

12

F. Gazzola, B. Ruf, Lower order perturbations of critical growth nonlinearities in semilinear elliptic equations, Adv. Diff. Eq. 2, 1997, 555-572     PDF file

13

F. Gazzola, Periodic motions of a lattice of particles with singular forces, Diff. Int. Eq. 10, 1997, 245-264     PDF file

14

G. Arioli, F. Gazzola, Weak solutions of quasilinear elliptic equations as critical points of nonsmooth functionals, Ann. Fac. Sci. Toulouse 6, 1997, 573-589    PDF file

15

G. Arioli, F. Gazzola, Quasilinear elliptic equations at critical growth, Nonlin. Diff. Eq. Appl. 5, 1998, 83-97    PDF file

16

F. Gazzola, M. Sardella, Attractors for families of processes in weak topologies of Banach spaces, Disc. Cont. Dynam. Syst. 4, 1998, 455-466    PDF file

17

F. Gazzola, Critical growth problems for polyharmonic operators, Proc. Roy. Soc. Edinburgh 128A, 1998, 251-263    PDF file

 18

G. Arioli, F. Gazzola, Some results on p-Laplace equations with a critical growth term, Diff. Int. Eq. 11, 1998, 311-326    PDF file

19

F. Gazzola, P. Secchi, Some results about stationary Navier-Stokes equations with a pressure-dependent viscosity, Proc. Internat. Conf. on Navier-Stokes Equations, Theory and Numerical Methods, Varenna 1997, Pitman Res. Notes Math. Ser. 388, 1998, 31-37    PDF file

20

F. Gazzola, G. Prouse, A note on approximable solutions of 3D Navier-Stokes equations, Proc. Internat. Conf. on Navier-Stokes Equations, Theory and Numerical Methods, Varenna 1997, Pitman Res. Notes Math. Ser. 388, 1998, 174-183    PDF file

21

F. Gazzola, Positive solutions of critical quasilinear elliptic problems in general domains, Abstract Appl. Anal. 3, 1998, 65-84    PDF file

22

G. Arioli, F. Gazzola, On a quasilinear elliptic differential equation in unbounded domains, Rend. Sem. Mat. Univ. Trieste 30, 1998, 113-128    PDF file

23

F. Gazzola, Existence of minima for nonconvex functionals in spaces of functions depending on the distance from the boundary, Arch. Rat. Mech. Anal. 150, 1999, 57-76    PDF file

24

F. Gazzola, V. Radulescu, A nonsmooth critical point theory approach to some nonlinear elliptic equations in R^n, Diff. Int. Eq. 13, 2000, 47-60    PDF file

25

F. Gazzola, M. Lazzarino, Existence results for general critical growth semilinear elliptic equations, Comm. Appl. Anal. 4, 2000, 39-50    PDF file

26

F. Gazzola, J. Serrin, M. Tang, Existence of ground states and free boundary problems for quasilinear elliptic operators, Adv. Diff. Eq. 5, 2000, 1-30    PDF file

27

G. Arioli, F. Gazzola, Existence and multiplicity results for quasilinear elliptic differential systems, Comm. Part. Diff. Eq. 25, 2000, 125-153    PDF file

28

G. Arioli, F. Gazzola, S. Terracini, Minimization properties of Hill's orbits and applications to some N-body problems, Ann. Inst. Henri Poincaré, Analyse non Linéaire 17, 2000, 617-650    PDF file

29

F. Gazzola, H.C. Grunau, On the role of space dimension n=2+2√2 in the semilinear Brezis-Nirenberg eigenvalue problem, Analysis 20, 2000, 395-399    PDF file

30

F. Gazzola, Critical growth quasilinear elliptic problems with shifting subcritical perturbation, Diff. Int. Eq. 14, 2001, 513-528    PDF file

31

F. Gazzola, H.C. Grunau, Critical dimensions and higher order Sobolev inequalities with remainder terms, Nonlin. Diff. Eq. Appl. 8, 2001, 35-44    PDF file

32

F. Gazzola, P. Secchi, Inflow-outflow problems for Euler equations in a rectangular cylinder, Nonlin. Diff. Eq. Appl. 8, 2001, 195-217    PDF file

33

F. Gazzola, On radially symmetric minima of nonconvex functionals, J. Math. Anal. Appl. 258, 2001, 490-511    PDF file

34

A. Ferrero, F. Gazzola, Existence of solutions for singular critical growth semilinear elliptic equations, J. Diff. Eq. 177, 2001, 494-522    PDF file

35

G. Crasta, F. Gazzola, Web functions: survey of results and perspectives, Rend. Ist. Mat. Univ. Trieste 33, 2001, 313-326    PDF file

36

M. Conti, F. Gazzola, Existence of ground states and free boundary problems for the prescribed mean curvature equation, Adv. Diff. Eq. 7, 2002, 667-694    PDF file

37

F. Gazzola, A. Malchiodi, Some remarks on the equation - u=λ (1+u)p  for varying λ, p and varying domains, Comm. Part. Diff. Eq. 27, 2002, 809-845    PDF file

38

F. Gazzola, J. Serrin, Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, Ann. Inst. Henri Poincaré, Analyse non Linéaire 19, 2002, 477-504    PDF file

39

G. Crasta, F. Gazzola, Some estimates of the minimizing properties of web functions, Calculus of Variations 15, 2002, 45-66    PDF file

40

G. Crasta, I. Fragalà, F. Gazzola, A sharp upper bound for the torsional rigidity of rods by means of web functions, Arch. Rat. Mech. Anal. 164, 2002, 189-211    PDF file

41

F. Gazzola, The sharp exponent for a Liouville-type theorem for an elliptic inequality, Rend. Ist. Mat. Univ. Trieste 34, 2002, 99-102    PDF file

42

F. Gazzola, Critical exponents which relate embedding inequalities with quasilinear elliptic problems, Disc. Cont. Dynam. Syst. Suppl. Vol. 2003, 327-335     PDF file

43

F. Gazzola, L. Pisani, Remarks on quasilinear elliptic equations as models for elementary particles, Disc. Cont. Dynam. Syst. Suppl. Vol. 2003, 336-341     PDF file

44

A. Ferrero, F. Gazzola, On subcriticality assumptions for the existence of ground states of quasilinear elliptic equations, Adv. Diff. Eq. 8, 2003, 1081-1106    PDF file

45

F. Gazzola, L. Peletier, P. Pucci, J. Serrin, Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, Part II, Ann. Inst. Henri Poincaré, Analyse non Linéaire 20, 2003, 947-974    PDF file

46

F. Gazzola, H.C. Grunau, M. Squassina, Existence and nonexistence results for critical growth biharmonic elliptic equations, Calculus of Variations 18, 2003, 117-143    PDF file

47

A. Ferrero, F. Gazzola, Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, Part III, J. Diff. Eq. 198, 2004, 53-90    PDF file

48

F. Gazzola, H.C. Grunau, E. Mitidieri, Hardy inequalities with optimal constants and remainder terms, Trans. Amer. Math. Soc. 356, 2004, 2149-2168    PDF file

49

F. Gazzola, Finite time blow-up and global solutions for some nonlinear parabolic equations, Diff. Int. Eq. 17, 2004, 983-1012    PDF file

50

I. Fragalà, F. Gazzola, B. Kawohl, Existence and nonexistence results for anisotropic quasilinear elliptic equations, Ann. Inst. Henri Poincaré, Analyse non Linéaire 21, 2004, 715-734     PDF file

51

G. Arioli, F. Gazzola, H.C. Grunau, E. Mitidieri, A semilinear fourth order elliptic problem with exponential nonlinearity, SIAM J. Math. Anal. 36, 2005, 1226-1258     PDF file

52

E. Berchio, F. Gazzola, Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities, Electronic J. Diff. Eq. 34, 2005, 1-20     PDF file

53

G. Crasta, I. Fragalà, F. Gazzola, On the role of energy convexity in the web function approximation, Nonlin. Diff. Eq. Appl. 12, 2005, 93-109    PDF file

54

F. Gazzola, T. Weth, Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level, Diff. Int. Eq. 18, 2005, 961-990     PDF file

55

G. Crasta, I. Fragalà, F. Gazzola, On a long-standing conjecture by Polya-Szego and related topics, Zeit. Angew. Math. Phys. 56, 2005, 763-782    PDF file

56

I. Fragalà, F. Gazzola, G. Lieberman, Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains, Disc. Cont. Dynam. Syst. Suppl. Vol. 2005, 280-286     PDF file

57

F. Gazzola, No geometric approach for general overdetermined elliptic problems with nonconstant source, Le Matematiche 60, 2005, 259-268     PDF file

58

A. Ferrero, F. Gazzola, T. Weth, On a fourth order Steklov eigenvalue problem, Analysis 25, 2005, 315-332     PDF file

59

F. Gazzola, H.C. Grunau, Radial entire solutions for supercritical biharmonic equations, Math. Annalen 334, 2006, 905-936    PDF file

60

F. Gazzola, M. Squassina, Global solutions and finite time blow up for damped semilinear wave equations, Ann. Inst. Henri Poincaré, Analyse non Linéaire 23, 2006, 185-207     PDF file

61

E. Berchio, F. Gazzola, Best constants and minimizers for embeddings of second order Sobolev spaces, J. Math. Anal. Appl. 320, 2006, 718-735     PDF file

62

I. Fragalà, F. Gazzola, B. Kawohl, Overdetermined problems with possibly degenerate ellipticity, a geometric approach, Math. Zeit. 254, 2006, 117-132     PDF file

63

E. Berchio, F. Gazzola, E. Mitidieri, Positivity preserving property for a class of biharmonic elliptic problems, J. Diff. Eq. 229, 2006, 1-23     PDF file

64

G. Arioli, F. Gazzola, H.C. Grunau, Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity, J. Diff. Eq. 230, 2006, 743-770     PDF file

65

A. Ferrero, F. Gazzola, T. Weth, Positivity, symmetry and uniqueness for minimizers of second order Sobolev inequalities, Ann. Mat. Pura Appl. 186, 2007, 565-578     PDF file

66

G. Crasta, I. Fragalà, F. Gazzola, Some estimates for the torsional rigidity of composite rods, Math. Nachr. 280, 2007, 242-255     PDF file

67

E. Berchio, F. Gazzola, T. Weth, Critical growth biharmonic elliptic problems under Steklov-type boundary conditions, Adv. Diff. Eq. 12, 2007, 381-406     PDF file

68

F. Gazzola, H.C. Grunau, Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay, Calculus of Variations 30, 2007, 389-415     PDF file

69

G. Arioli, F. Gazzola, H.C. Grunau, E. Sassone, The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four, Nonlin. Diff. Eq. Appl. 15, 2008, 69-90     PDF file

70

F. Gazzola, H.C. Grunau, Eventual local positivity for a biharmonic heat equation in R^n, Disc. Cont. Dynam. Syst. S 1, 2008, 83-87    PDF file

71

E. Berchio, F. Gazzola, T. Weth, Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems, J. Reine Angew. Math. 620, 2008, 165-183    PDF file

72

A. Ferrero, F. Gazzola, H.C. Grunau, Decay and eventual local positivity for biharmonic parabolic equations, Disc. Cont. Dynam. Syst. 21, 2008, 1129-1157     PDF file

73

F. Gazzola, G. Sweers, On positivity for the biharmonic operator under Steklov boundary conditions, Arch. Rat. Mech. Anal. 188, 2008, 399-427     PDF file

74

I. Fragalà, F. Gazzola, Partially overdetermined elliptic boundary value problems, J. Diff. Eq. 245, 2008, 1299-1322     PDF file

75

E. Berchio, F. Gazzola, D. Pierotti, Nodal solutions to critical growth elliptic problems under Steklov boundary conditions, Comm. Pure Appl. Anal. 8, 2009, 533-557     PDF file

76

D. Bucur, A. Ferrero, F. Gazzola, On the first eigenvalue of a fourth order Steklov problem, Calculus of Variations 35, 2009, 103-131     PDF file

77

F. Gazzola, D. Pierotti, Positive solutions to critical growth biharmonic elliptic problems under Steklov boundary conditions, Nonlinear Analysis T.M.A. 71, 2009, 232-238    PDF file

78

I. Fragalà, F. Gazzola, J. Lamboley, M. Pierre, Counterexamples to symmetry for partially overdetermined elliptic problems, Analysis 29, 2009, 85-93     PDF file

79

F. Gazzola, H.C. Grunau, Some new properties of biharmonic heat kernels, Nonlinear Analysis T.M.A. 70, 2009, 2965-2973     PDF file

80

E. Berchio, F. Gazzola, D. Pierotti, Gelfand type elliptic problems under Steklov boundary conditions, Ann. Inst. Henri Poincaré, Analyse non Linéaire 27, 2010, 315-335     PDF file

81

E. Berchio, D. Cassani, F. Gazzola, Hardy-Rellich inequalities with boundary remainder terms and applications, Manuscripta Math. 131, 2010, 427-458     PDF file

82

F. Gazzola, H.C. Grunau, G. Sweers, Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions, Ann. Mat. Pura Appl. 189, 2010, 475-486     PDF file

83

F. Gazzola, T. Weth, Remainder terms in a higher order Sobolev inequality, Archiv der Mathematik 95, 2010, 381–388     PDF file

84

I. Fragalà, F. Gazzola, M. Pierre, On an isoperimetric inequality for capacity conjectured by Polya and Szego, J. Diff. Eq.  250, 2011, 1500-1520     PDF file

85

E. Berchio, F. Gazzola, Positive solutions to a linearly perturbed critical growth biharmonic problem, Disc. Cont. Dyn. Syst. S 4, 2011, 809-823     PDF file

86

D. Bucur, F. Gazzola, The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization, Milan J. Math. 79, 2011, 247-258     PDF file

87

E. Berchio, A. Ferrero, F. Gazzola, P. Karageorgis, Qualitative behavior of global solutions to some nonlinear fourth order differential equations, J. Diff. Eq. 251, 2011, 2696-2727     PDF file

88

F. Gazzola, R. Pavani, Blow up oscillating solutions to some nonlinear fourth order differential equations, Nonlinear Analysis T.M.A. 74, 2011, 6696-6711     PDF file

89

E. Berchio, A. Farina, A. Ferrero, F. Gazzola, Existence and stability of entire solutions to a semilinear fourth order elliptic problem, J. Diff. Eq. 252, 2012, 2596-2616     PDF file

90

F. Gazzola, R. Pavani, Blow-up oscillating solutions to some nonlinear fourth order differential equations describing oscillations of suspension bridges, IABMAS12, 6th International Conference on Bridge Maintenance, Safety, Management, Resilience and Sustainability, 3089-3093, Stresa 2012, Biondini & Frangopol (Editors), Taylor & Francis Group, London (2012)     PDF file

91

M. Bonforte, F. Gazzola, G. Grillo, J.L. Vázquez, Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space, Calculus of Variations 46, 2013, 375-401     PDF file

92

P.R.S. Antunes, F. Gazzola, Convex shape optimization for the least biharmonic Steklov eigenvalue, ESAIM COCV 19, 2013, 385-403     PDF file

93

I. Fragalà, F. Gazzola, J. Lamboley, Sharp bounds for the p-torsion of convex planar domains, Geometric Properties for Parabolic and Elliptic PDE's, Springer INdAM Series Vol. 2, 2013, 97-115     PDF file

94

F. Gazzola, On the moments of solutions to linear parabolic equations involving the biharmonic operator, Disc. Cont. Dynam. Syst. A Disc. Cont. Dyn. Syst. A 33, 2013, 3583-3597     PDF file

95

F. Gazzola, R. Pavani, Wide oscillations finite time blow up for solutions to nonlinear fourth order differential equations, Arch. Rat. Mech. Anal. 207, 2013, 717-752     PDF file

96

G. Barbatis, F. Gazzola, Higher order linear parabolic equations, Contemporary Mathematics 594, 2013, 77-97     PDF file

97

F. Gazzola, Nonlinearity in suspension bridges, Electron. J. Diff. Equ. no.211, 2013, 1-47     PDF file

98

G. Arioli, F. Gazzola, Old and new explanations of the Tacoma Narrows Bridge collapse, Atti XXI Congresso AIMETA, Torino, 2013, 10pp.     PDF file

99

E. Barucci, F. Gazzola, Prices in the utility function and demand monotonicity, Kodai Math. J. 37, 2014, 544-567     PDF file

100

M. Al-Gwaiz, V. Benci, F. Gazzola, Bending and stretching energies in a rectangular plate modeling suspension bridges, Nonlinear Analysis T.M.A. 106, 2014, 18-34     PDF file

101

F. Gazzola, M. Jleli, B. Samet, On the Melan equation for suspension bridges, J. Fixed Point Theory Appl. 16, 2014, 159-188     PDF file

102

C. Escudero, F. Gazzola, I. Peral, Existence versus blow-up results for a fourth order parabolic PDE involving the Hessian, J. Math. Pures Appl. 103, 2015, 924-957     PDF file

103

F. Gazzola, Hexagonal design for stiffening trusses, Ann. Mat. Pura Appl. 194, 2015, 87-108     PDF file

104

G. Arioli, F. Gazzola, A new mathematical explanation of what triggered the catastrophic torsional mode of the Tacoma Narrows Bridge collapse, Appl. Math. Modelling 39, 2015, 901-912     PDF file

105

F. Gazzola, P. Karageorgis, Refined blow-up results for nonlinear fourth order differential equations, Comm. Pure Appl. Anal. 12, 2015, 677-693     PDF file

106

E. Berchio, F. Gazzola, A qualitative explanation of the origin of torsional instability in suspension bridges, Nonlinear Analysis TMA 121, 2015, 54-72     PDF file

107

A. Ferrero, F. Gazzola, A partially hinged rectangular plate as a model for suspension bridges, Disc. Cont. Dyn. Syst. A 35, 2015, 5879-5908     PDF file

108

C. Escudero, F. Gazzola, R. Hakl, I. Peral, P. Torres, Existence results for a fourth order partial differential equation arising in condensed matter physics, Math. Bohemica 140, 2015, 385-393     PDF file

109

F. Gazzola, R. Pavani, The impact of nonlinear restoring forces acting on hinged elastic beams, Bull. Belgian Math. Soc. 22, 2015, 559-578    PDF file

110

E. Berchio, F. Gazzola, The role of aerodynamic forces in a mathematical model for suspension bridges, Dynamical Systems, Differential Equations and Applications, AIMS Proceedings, 2015, 112-121      PDF file

111

F. Gazzola, Y. Wang, Modeling suspension bridges through the von Karman quasilinear plate equations, Progress in Nonlinear Differential Equations and Their Applications, In: Contributions to Nonlinear Differential Equations and Systems, a tribute to Djairo Guedes de Figueiredo on occasion of his 80th birthday, 2015, 269-297     PDF file

112

G. Arioli, F. Gazzola, On a nonlinear nonlocal hyperbolic system modeling suspension bridges, Milan J. Math. 83, 2015, 211-236     PDF file

113

E. Berchio, F. Gazzola, C. Zanini, Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems?, SIAM J. Appl. Dyn. Syst. 15, 2016, 338-355     PDF file

114

E. Berchio, A. Ferrero, F. Gazzola, Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions, Nonlin. Anal. Real World Appl. 28, 2016, 91-125   PDF file

115

V. Ferreira, F. Gazzola, E. Moreira dos Santos, Instability of modes in a partially hinged rectangular plate, J. Diff. Eq. 261, 2016, 6302-6340    PDF file

116

G. Arioli, F. Gazzola, Torsional instability in suspension bridges: the Tacoma Narrows Bridge case, Communications Nonlinear Sci. Numerical Simulation 42, 2017, 342-357    PDF file

117

V. Benci, D. Fortunato, F. Gazzola, Existence of torsional solitons in a beam model of suspension bridge, Arch. Rat. Mech. Anal. 226, 2017, 559-585    PDF file

118

E. Berchio, D. Buoso, F. Gazzola, A measure of the torsional performances of partially hinged rectangular plates, In: Integral Methods in Science and Engineering, Vol.1, Theoretical Techniques, Eds: C. Constanda, M. Dalla Riva, P.D. Lamberti, P. Musolino, Birkhauser 2017, 35-46    PDF file

119

M. Garrione, F. Gazzola, Loss of concentration on linear modes in nonlinear evolution beam equations, J. Nonlinear Sci. 27, 2017, 1789-1827    PDF file

120

U. Battisti, E. Berchio, A. Ferrero, F. Gazzola, Periodic solutions and energy transfer between modes in a nonlinear beam equation, J. Math. Pures Appl. 108, 2017, 885-917    PDF file

121

E. Berchio, D. Buoso, F. Gazzola, On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate, ESAIM COCV    PDF file

122

F. Gazzola, G. Sperone, Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges, Nonlin. Anal. Real World Appl. 39, 2018, 520–536    PDF file

123

C. Gasparetto, F. Gazzola, Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation, Comm. Contemp. Math. 20, 2018, 1750022 (22 pp.)    PDF file

124

F. Gazzola, Y. Wang, R. Pavani, Variational formulation of the Melan equation, Math. Meth. Appl. Sci.    PDF file