×

zbMATH — the first resource for mathematics

Benci, Vieri

Compute Distance To:
Author ID: benci.vieri Recent zbMATH articles by "Benci, Vieri"
Published as: Benci, V.; Benci, Vieri
External Links: MGP · ORCID · ResearchGate · dblp
Documents Indexed: 193 Publications since 1972, including 6 Books
all top 5

Serials

9 Journal of Differential Equations
7 Topological Methods in Nonlinear Analysis
7 Advanced Nonlinear Studies
6 Archive for Rational Mechanics and Analysis
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Nonlinear Analysis. Theory, Methods & Applications
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Journal of Mathematical Analysis and Applications
3 Chaos, Solitons and Fractals
3 Proceedings of the American Mathematical Society
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Calculus of Variations and Partial Differential Equations
3 Milan Journal of Mathematics
3 Bollettino della Unione Matematica Italiana. Series V. B
3 Journal of Fixed Point Theory and Applications
2 Communications on Pure and Applied Mathematics
2 Reviews in Mathematical Physics
2 Advances in Mathematics
2 Conferenze del Seminario di Matematica dell’Università di Bari
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Ricerche di Matematica
2 Advances in Differential Equations
2 Discrete and Continuous Dynamical Systems
2 Dynamics of Partial Differential Equations
2 Advances in Nonlinear Analysis
1 Communications in Mathematical Physics
1 Journal of Mathematical Physics
1 Journal of Geometry and Physics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 The British Journal for the Philosophy of Science
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Logique et Analyse. Nouvelle Série
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Transactions of the American Mathematical Society
1 Rendiconti del Seminario Matematico
1 Ergodic Theory and Dynamical Systems
1 Annals of Pure and Applied Logic
1 Complex Systems
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 Communications in Partial Differential Equations
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 Bollettino della Unione Matemàtica Italiana. Serie VII. A
1 Electronic Journal of Differential Equations (EJDE)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 NoDEA. Nonlinear Differential Equations and Applications
1 Mathematical Research Letters
1 Arab Journal of Mathematical Sciences
1 Journal of the European Mathematical Society (JEMS)
1 Lettera Matematica Pristem
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 Bollettino della Unione Matematica Italiana. Series IV
1 Rendiconti di Matematica, VI. Serie
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Logic and Analysis
1 Journal of Theoretical Biology
1 Arabian Journal of Mathematics
1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I
1 Progress in Nonlinear Differential Equations and Their Applications
1 Springer Monographs in Mathematics
1 Calcoli Sublimi

Publications by Year

Citations contained in zbMATH Open

160 Publications have been cited 3,527 times in 2,247 Documents Cited by Year
Abstract critical point theorems and applications to some nonlinear problems with ”strong” resonance at infinity. Zbl 0522.58012
Bartolo, P.; Benci, V.; Fortunato, D.
439
1983
An eigenvalue problem for the Schrödinger-Maxwell equations. Zbl 0926.35125
Benci, Vieri; Fortunato, Donato
287
1998
Critical point theorems for indefinite functionals. Zbl 0465.49006
Benci, Vieri; Rabinowitz, Paul H.
240
1979
Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations. Zbl 1037.35075
Benci, Vieri; Fortunato, Donato
168
2002
On critical point theory for indefinite functionals in the presence of symmetries. Zbl 0504.58014
Benci, Vieri
157
1982
Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036
Benci, Vieri; Cerami, Giovanna
147
1987
The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems. Zbl 0727.35055
Benci, Vieri; Cerami, Giovanna
123
1991
Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\). Zbl 0705.35042
Benci, Vieri; Cerami, Giovanna
122
1990
Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology. Zbl 0822.35046
Benci, Vieri; Cerami, Giovanna
103
1994
Solitons in several space dimensions: Derrick’s problem and infinitely many solutions. Zbl 0973.35161
Benci, V.; D’Avenia, P.; Fortunato, D.; Pisani, L.
79
2000
A geometrical index for the group \(S^1\) and some application to the study of periodic solutions of ordinary differential equations. Zbl 0447.34040
Benci, Vieri
53
1981
A new approach to the Morse-Conley theory and some applications. Zbl 0778.58011
Benci, Vieri
46
1991
On the existence of multiple geodesics in static space-times. Zbl 0716.53057
Benci, V.; Fortunato, D.; Giannoni, F.
45
1991
Soliton like solutions of a Lorentz invariant equation in dimension 3. Zbl 0921.35177
Benci, Vieri; Fortunato, Donato; Pisani, Lorenzo
41
1998
On the existence of infinitely many geodesics on space-time manifolds. Zbl 0808.58016
Benci, Vieri; Fortunato, Donato
41
1994
Towards a unified field theory for classical electrodynamics. Zbl 1065.78004
Benci, Vieri; Fortunato, Donato
39
2004
Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains. Zbl 0422.35038
Benci, V.; Fortunato, D.
33
1979
On the number of the positive solutions of some nonlinear elliptic problems. Zbl 0838.35040
Benci, V.; Cerami, G.; Passaseo, D.
32
1991
Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with \(V(\infty)=0\). Zbl 1105.35112
Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria
31
2005
Solitons and the electromagnetic field. Zbl 0930.35168
Benci, V.; Fortunato, D.; Masiello, A.; Pisani, L.
30
1999
Periodic solutions of Lagrangian systems on a compact manifold. Zbl 0605.58034
Benci, Vieri
30
1986
Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems. Zbl 0588.35007
Benci, V.
30
1984
Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201
Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo
27
2014
Normal modes of a Lagrangian system constrained in a potential well. Zbl 0561.58006
Benci, V.
26
1984
The dual method in critical point theory. Multiplicity results for indefinite functional. Zbl 0526.58013
Benci, Vieri; Fortunato, Donato
25
1982
Numerosities of labelled sets: A new way of counting. Zbl 1028.03042
Benci, Vieri; Di Nasso, Mauro
24
2003
The semiclassical limit of the nonlinear Schrödinger equation in a radial potential. Zbl 1060.35129
Benci, Vieri; D’Aprile, Teresa
24
2002
Some critical point theorems and applications. Zbl 0472.58009
Benci, Vieri
24
1980
On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds. Zbl 1130.58010
Benci, Vieri; Bonanno, Claudio; Micheletti, Anna Maria
23
2007
Periodic solutions of Hamiltonian systems with superquadratic potential. Zbl 0632.34036
Benci, V.; Capozzi, A.; Fortunato, D.
23
1986
Existence of solutions for the nonlinear Schrödinger equation with \(V(\infty)=0\). Zbl 1231.35225
Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria
22
2006
Periodic solutions of prescribed energy for a class of Hamiltonian systems with singular potentials. Zbl 0689.34034
Benci, Vieri; Giannoni, Fabio
22
1989
Solitary waves in the nolinear wave equation and in gauge theories. Zbl 1122.35121
Benci, Vieri; Fortunato, Donato
21
2007
Variational methods in nonlinear field equations. Solitary waves, hylomorphic solitons and vortices. Zbl 1312.35001
Benci, Vieri; Fortunato, Donato
20
2014
Existence of static solutions of the semilinear Maxwell equations. Zbl 1150.35078
Azzollini, Antonio; Benci, V.; D’Aprile, Teresa; Fortunato, Donato
20
2006
Alpha-theory: An elementary axiomatics for nonstandard analysis. Zbl 1038.26019
Benci, Vieri; Di Nasso, Mauro
19
2003
An eigenvalue problem for a quasilinear elliptic field equation. Zbl 1157.35348
Benci, V.; Micheletti, A. M.; Visetti, D.
18
2002
The nonlinear Klein-Gordon equation coupled with the Maxwell equations. Zbl 1042.78500
Benci, Vieri; Fortunato, Donato
18
2001
Homoclinic orbits on compact manifolds. Zbl 0737.58052
Benci, Vieri; Giannoni, Fabio
18
1991
Discreteness conditions of the spectrum of Schrödinger operators. Zbl 0389.35016
Benci, V.; Fortunato, D.
18
1978
Non-Archimedean probability. Zbl 1411.60007
Benci, Vieri; Horsten, Leon; Wenmackers, Sylvia
16
2013
Hylomorphic solitons in the nonlinear Klein-Gordon equation. Zbl 1194.35096
Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E.
16
2009
On the existence of geodesics in static Lorentz manifolds with singular boundary. Zbl 0776.53040
Benci, V.; Fortunato, D.; Giannoni, F.
16
1992
Positive solutions of some eigenvalue problems in the theory of variational inequalities. Zbl 0432.35059
Benci, Vieri
16
1977
A nonlinear elliptic equation with singular potential and applications to nonlinear field equations. Zbl 1149.35033
Badiale, Marino; Benci, Vieri; Rolando, Sergio
15
2007
An Aristotelian notion of size. Zbl 1114.03055
Benci, Vieri; Di Nasso, Mauro; Forti, Marco
15
2006
Solitary waves with non-vanishing angular momentum. Zbl 1030.35051
Benci, Vieri; Visciglia, Nicola
15
2003
A note on the existence of multiple brake orbits. Zbl 0811.70015
Ambrosetti, Antonio; Benci, Vieri; Long, Yiming
15
1993
On a filtration problem through a porous medium. Zbl 0298.76049
Benci, Vieri
15
1974
Hylomorphic solitons. Zbl 1205.35040
Benci, Vieri
14
2009
Solitary waves in Abelian gauge theories. Zbl 1157.58005
Benci, Vieri; Fortunato, Donato
14
2008
Compression and diffusion: a joint approach to detect complexity. Zbl 1038.37062
Allegrini, P.; Benci, V.; Grigolini, P.; Hamilton, P.; Ignaccolo, M.; Menconi, G.; Palatella, L.; Raffaelli, G.; Scafetta, N.; Virgilio, M.; Yang, J.
14
2003
On the existence of closed geodesics on noncompact Riemannian manifolds. Zbl 0789.53028
Benci, Vieri; Giannoni, Fabio
14
1992
Does bifurcation from the essential spectrum occur? Zbl 0471.35007
Benci, Vieri; Fortunato, Donato
14
1981
Some compact embedding theorems for weighted Sobolev spaces. Zbl 0382.46018
Benci, V.; Fortunato, D.
14
1976
Solitons in Schrödinger-Maxwell equations. Zbl 1307.35292
Benci, Vieri; Fortunato, Donato
13
2014
Spinning Q-balls for the Klein-Gordon-Maxwell equations. Zbl 1194.78009
Benci, Vieri; Fortunato, Donato
13
2010
Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations. Zbl 1194.35343
Benci, Vieri; Fortunato, Donato
13
2009
On the existence of the fundamental eigenvalue of an elliptic problem in \(\mathbb R^N\). Zbl 1136.47040
Bellazzini, J.; Benci, V.; Ghimenti, M.; Micheletti, A. M.
13
2007
The eightfold path to nonstandard analysis. Zbl 1104.03061
Benci, Vieri; Forti, Marco; Di Nasso, Mauro
13
2006
Existence of geodesics for the Lorentz metric of a stationary gravitational field. Zbl 0697.58011
Benci, Vieri; Fortunato, Donato
13
1990
A “Birkhoff-Lewis” type result for a class of Hamiltonian systems. Zbl 0616.58014
Benci, Vieri; Fortunato, Donato
13
1987
Solitons for the nonlinear Klein-Gordon equation. Zbl 1200.35248
Bellazzini, J.; Benci, V.; Bonanno, C.; Micheletti, A. M.
12
2010
Introduction to Morse theory. A new approach. Zbl 0823.58008
Benci, Vieri
12
1995
Periodic solutions of asymptotically linear dynamical systems. Zbl 0821.34037
Benci, Vieri; Fortunato, Donato
12
1994
On the geodesic connectedness of Lorentzian manifolds. Zbl 0807.53054
Benci, Vieri; Fortunato, Donato; Masiello, Antonio
12
1994
On asymptotically quadratic Hamiltonian systems. Zbl 0525.70021
Benci, V.; Capozzi, A.; Fortunato, D.
12
1983
Ultrafunctions and generalized solutions. Zbl 1273.26035
Benci, Vieri
11
2013
The nonlinear Schrödinger equation: solitons dynamics. Zbl 1205.35287
Benci, Vieri; Ghimenti, Marco; Micheletti, Anna Maria
11
2010
Three-dimensional vortices in Abelian gauge theories. Zbl 1173.81013
Benci, Vieri; Fortunato, Donato
11
2009
Solutions in exterior domains of null mass nonlinear field equations. Zbl 1114.35143
Benci, Vieri; Micheletti, Anna Maria
11
2006
Dynamical systems and computable information. Zbl 1058.94512
Benci, V.; Bonanno, C.; Galatolo, S.; Menconi, G.; Virgilio, M.
11
2004
Periodic bounce trajectories with a low number of bounce points. Zbl 0667.34054
Benci, V.; Giannoni, F.
11
1989
Solitary waves: physical aspects and mathematical results. Zbl 1120.37045
Badiale, Marino; Benci, V.; Rolando, Sergio
10
2004
Estimate of the number of periodic solutions via the twist number. Zbl 0881.34063
Benci, Vieri; Fortunato, Donato
10
1997
Geodesics on static Lorentz manifolds with convex boundary. Zbl 0820.53050
Benci, V.; Fortunato, D.; Giannoni, F.
10
1992
Some results on the existence of geodesics in static Lorentz manifolds with singular boundary. Zbl 0737.53059
Benci, Vieri; Fortunato, Donato; Giannoni, Fabio
10
1991
A new proof of the existence of a brake orbit. Zbl 0674.34034
Benci, Vieri; Giannoni, Fabio
10
1989
Subharmonic solutions of prescribed minimal period for non autonomous differential equations. Zbl 0663.70028
Benci, Vieri; Fortunato, Donato
10
1987
On the existence of stable charged Q-balls. Zbl 1272.35173
Benci, Vieri; Fortunato, Donato
9
2011
Three dimensional vortices in the nonlinear wave equation. Zbl 1178.35263
Badiale, Marino; Benci, Vieri; Rolando, Sergio
9
2009
A remark on the nodal regions of the solutions of some superlinear elliptic equations. Zbl 0686.35043
Benci, Vieri; Fortunato, Donato
9
1989
The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphere. Zbl 0597.35022
Benci, V.; Coron, Jean-Michel
9
1985
Morse theory for symmetric functionals on the sphere and an application to a bifurcation problem. Zbl 0564.58011
Benci, Vieri; Pacella, Filomena
8
1985
Su un problema di autovalori per disequazioni variazionali. Zbl 0324.49004
Benci, V.; Micheletti, Anna Maria
8
1976
Infinitesimal probabilities. Zbl 1400.03006
Benci, Vieri; Horsten, Leon; Wenmackers, Sylvia
7
2018
Hylomorphic solitons and charged Q-balls: existence and stability. Zbl 1348.35048
Benci, Vieri; Fortunato, Donato
7
2014
Basic properties of ultrafunctions. Zbl 1318.26054
Benci, Vieri; Luperi Baglini, Lorenzo
7
2014
Morse theory for \(C^ 1\)-functionals and Conley blocks. Zbl 0848.58009
Benci, Vieri; Giannoni, Fabio
7
1994
A Morse index for geodesics in static Lorentz manifolds. Zbl 0735.58011
Benci, Vieri; Masiello, Antonio
7
1992
Periodic trajectories for the Lorentz-metric of a static gravitational field. Zbl 0719.58009
Benci, Vieri; Fortunato, Donato
7
1990
A non-Archimedean algebra and the Schwartz impossibility theorem. Zbl 1321.46045
Benci, Vieri; Luperi Baglini, Lorenzo
6
2015
A model problem for ultrafunctions. Zbl 1292.26073
Benci, Vieri; Luperi, Lorenzo
6
2014
Ultrafunctions and applications. Zbl 1290.26038
Benci, Vieri; Baglini, Lorenzo Luperi
6
2014
A minimization method and applications to the study of solitons. Zbl 1263.47084
Benci, Vieri; Fortunato, Donato
6
2012
Hylomorphic solitons on lattices. Zbl 1205.37081
Benci, Vieri; Fortunato, Donato
6
2010
A ring homomorphism is enough to get nonstandard analysis. Zbl 1062.03066
Benci, Vieri; Di Nasso, Mauro
6
2003
Information and dynamical systems: A concrete measurement on sporadic dynamics. Zbl 1001.37013
Argenti, Fiorella; Benci, Vieri; Cerrai, Paola; Cordelli, Alessandro; Galatolo, Stefano; Menconi, Giulia
6
2002
An algebraic approach to nonstandard analysis. Zbl 0973.26017
Benci, V.
6
2000
Remarks on topological solitons. Zbl 0892.35101
Benci, Vieri; Fortunato, Donato; Pisani, Lorenzo
6
1996
The Caccioppoli ultrafunctions. Zbl 1434.46024
Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano
1
2019
How to measure the infinite. Mathematics with infinite and infinitesimal numbers. Zbl 1429.26001
Benci, Vieri; Di Nasso, Mauro
1
2019
Infinitesimal probabilities. Zbl 1400.03006
Benci, Vieri; Horsten, Leon; Wenmackers, Sylvia
7
2018
Existence of torsional solitons in a beam model of suspension bridge. Zbl 1373.35301
Benci, Vieri; Fortunato, Donato; Gazzola, Filippo
3
2017
Generalized solutions in PDEs and the Burgers’ equation. Zbl 1373.35083
Benci, Vieri; Luperi Baglini, Lorenzo
1
2017
A generalization of Gauss’ divergence theorem. Zbl 1350.26017
Benci, Vieri; Baglini, Lorenzo Luperi
3
2016
A topological approach to non-Archimedean mathematics. Zbl 1351.26046
Benci, Vieri; Baglini, Lorenzo Luperi
2
2016
Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations. Zbl 1345.35014
Benci, Vieri; Fortunato, Donato
1
2016
A non-Archimedean algebra and the Schwartz impossibility theorem. Zbl 1321.46045
Benci, Vieri; Luperi Baglini, Lorenzo
6
2015
Generalized functions beyond distributions. Zbl 1331.26051
Benci, Vieri; Luperi Baglini, Lorenzo
5
2015
Hylomorphic solitons for the generalized KdV equation. Zbl 1333.35230
Benci, Vieri; Fortunato, Donato
1
2015
Some applications of numerosities in measure theory. Zbl 1309.26028
Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro
1
2015
Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201
Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo
27
2014
Variational methods in nonlinear field equations. Solitary waves, hylomorphic solitons and vortices. Zbl 1312.35001
Benci, Vieri; Fortunato, Donato
20
2014
Solitons in Schrödinger-Maxwell equations. Zbl 1307.35292
Benci, Vieri; Fortunato, Donato
13
2014
Hylomorphic solitons and charged Q-balls: existence and stability. Zbl 1348.35048
Benci, Vieri; Fortunato, Donato
7
2014
Basic properties of ultrafunctions. Zbl 1318.26054
Benci, Vieri; Luperi Baglini, Lorenzo
7
2014
A model problem for ultrafunctions. Zbl 1292.26073
Benci, Vieri; Luperi, Lorenzo
6
2014
Ultrafunctions and applications. Zbl 1290.26038
Benci, Vieri; Baglini, Lorenzo Luperi
6
2014
Elementary numerosity and measures. Zbl 1300.26018
Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro
4
2014
Non-Archimedean probability. Zbl 1411.60007
Benci, Vieri; Horsten, Leon; Wenmackers, Sylvia
16
2013
Ultrafunctions and generalized solutions. Zbl 1273.26035
Benci, Vieri
11
2013
On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation. Zbl 1307.35169
Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E.
4
2013
A minimization method and applications to the study of solitons. Zbl 1263.47084
Benci, Vieri; Fortunato, Donato
6
2012
Solitary waves and vortices in non-abelian gauge theories with matter. Zbl 1260.81160
Benci, Vieri; Bonanno, Claudio
5
2012
On the dynamics of solitons in the nonlinear Schrödinger equation. Zbl 1256.35129
Benci, Vieri; Ghimenti, Marco; Micheletti, Anna Maria
5
2012
Axioms for non-Archimedean probability (NAP). Zbl 1330.60008
Wenmackers, Sylvia; Benci, Vieri; Horsten, Leon
4
2012
Existence of solitons in the nonlinear beam equation. Zbl 1407.74046
Benci, Vieri; Fortunato, Donato
3
2012
On the existence of stable charged Q-balls. Zbl 1272.35173
Benci, Vieri; Fortunato, Donato
9
2011
Hamiltonian formulation of the Klein-Gordon-Maxwell equations. Zbl 1221.35003
Benci, Vieri; Fortunato, Donato
2
2011
The nonlinear Schroedinger equation: existence, stability and dynamics of solitons. Zbl 1241.35186
Benci, Vieri; Ghimenti, Marco; Micheletti, Anna Maria
1
2011
Spinning Q-balls for the Klein-Gordon-Maxwell equations. Zbl 1194.78009
Benci, Vieri; Fortunato, Donato
13
2010
Solitons for the nonlinear Klein-Gordon equation. Zbl 1200.35248
Bellazzini, J.; Benci, V.; Bonanno, C.; Micheletti, A. M.
12
2010
The nonlinear Schrödinger equation: solitons dynamics. Zbl 1205.35287
Benci, Vieri; Ghimenti, Marco; Micheletti, Anna Maria
11
2010
Hylomorphic solitons on lattices. Zbl 1205.37081
Benci, Vieri; Fortunato, Donato
6
2010
An elementary approach to stochastic differential equations using the infinitesimals. Zbl 1232.03060
Benci, Vieri; Galatolo, Stefano; Ghimenti, Marco
5
2010
Hylomorphic solitons in the nonlinear Klein-Gordon equation. Zbl 1194.35096
Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E.
16
2009
Hylomorphic solitons. Zbl 1205.35040
Benci, Vieri
14
2009
Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations. Zbl 1194.35343
Benci, Vieri; Fortunato, Donato
13
2009
Three-dimensional vortices in Abelian gauge theories. Zbl 1173.81013
Benci, Vieri; Fortunato, Donato
11
2009
Three dimensional vortices in the nonlinear wave equation. Zbl 1178.35263
Badiale, Marino; Benci, Vieri; Rolando, Sergio
9
2009
Solitary waves in Abelian gauge theories. Zbl 1157.58005
Benci, Vieri; Fortunato, Donato
14
2008
On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds. Zbl 1130.58010
Benci, Vieri; Bonanno, Claudio; Micheletti, Anna Maria
23
2007
Solitary waves in the nolinear wave equation and in gauge theories. Zbl 1122.35121
Benci, Vieri; Fortunato, Donato
21
2007
A nonlinear elliptic equation with singular potential and applications to nonlinear field equations. Zbl 1149.35033
Badiale, Marino; Benci, Vieri; Rolando, Sergio
15
2007
On the existence of the fundamental eigenvalue of an elliptic problem in \(\mathbb R^N\). Zbl 1136.47040
Bellazzini, J.; Benci, V.; Ghimenti, M.; Micheletti, A. M.
13
2007
An Euclidean measure of size for mathematical universes. Zbl 1131.03029
Benci, Vieri; Di Nasso, Mauro; Forti, Marco
4
2007
Existence of solutions for the nonlinear Schrödinger equation with \(V(\infty)=0\). Zbl 1231.35225
Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria
22
2006
Existence of static solutions of the semilinear Maxwell equations. Zbl 1150.35078
Azzollini, Antonio; Benci, V.; D’Aprile, Teresa; Fortunato, Donato
20
2006
An Aristotelian notion of size. Zbl 1114.03055
Benci, Vieri; Di Nasso, Mauro; Forti, Marco
15
2006
The eightfold path to nonstandard analysis. Zbl 1104.03061
Benci, Vieri; Forti, Marco; Di Nasso, Mauro
13
2006
Solutions in exterior domains of null mass nonlinear field equations. Zbl 1114.35143
Benci, Vieri; Micheletti, Anna Maria
11
2006
Existence of 3D-vortices in abelian gauge theories. Zbl 1167.35351
Fortunato, Donato; Benci, V.
3
2006
A unitarian approach to classical electrodynamics: the semilinear Maxwell equations. Zbl 1129.78002
Benci, Vieri; Fortunato, Donato
2
2006
Periodic orbits of a one-dimensional non-autonomous Hamiltonian system. Zbl 1104.37041
Bellazzini, J.; Benci, V.; Ghimenti, M.
1
2006
Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with \(V(\infty)=0\). Zbl 1105.35112
Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria
31
2005
A purely algebraic characterization of the hyperreal numbers. Zbl 1113.26028
Benci, Vieri; Di Nasso, Mauro
5
2005
Matter and electromagnetic fields: remarks on the dualistic and unitarian standpoints. Zbl 1091.47057
Benci, Vieri; Fortunato, Donato
1
2005
Towards a unified field theory for classical electrodynamics. Zbl 1065.78004
Benci, Vieri; Fortunato, Donato
39
2004
Dynamical systems and computable information. Zbl 1058.94512
Benci, V.; Bonanno, C.; Galatolo, S.; Menconi, G.; Virgilio, M.
11
2004
Solitary waves: physical aspects and mathematical results. Zbl 1120.37045
Badiale, Marino; Benci, V.; Rolando, Sergio
10
2004
Solitary waves in classical field theory. Zbl 1404.58028
Benci, V.; Fortunato, D.
5
2004
A strongly degenerate elliptic equation arising from the semilinear Maxwell equations. Zbl 1116.35319
Benci, Vieri; Fortunato, Donato
4
2004
Numerosities of labelled sets: A new way of counting. Zbl 1028.03042
Benci, Vieri; Di Nasso, Mauro
24
2003
Alpha-theory: An elementary axiomatics for nonstandard analysis. Zbl 1038.26019
Benci, Vieri; Di Nasso, Mauro
19
2003
Solitary waves with non-vanishing angular momentum. Zbl 1030.35051
Benci, Vieri; Visciglia, Nicola
15
2003
Compression and diffusion: a joint approach to detect complexity. Zbl 1038.37062
Allegrini, P.; Benci, V.; Grigolini, P.; Hamilton, P.; Ignaccolo, M.; Menconi, G.; Palatella, L.; Raffaelli, G.; Scafetta, N.; Virgilio, M.; Yang, J.
14
2003
A ring homomorphism is enough to get nonstandard analysis. Zbl 1062.03066
Benci, Vieri; Di Nasso, Mauro
6
2003
On the Morse inequalities for geodesics on Lorentzian manifolds. Zbl 1056.53042
Abbondandolo, A.; Benci, V.; Fortunato, D.; Masiello, A.
4
2003
Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations. Zbl 1037.35075
Benci, Vieri; Fortunato, Donato
168
2002
The semiclassical limit of the nonlinear Schrödinger equation in a radial potential. Zbl 1060.35129
Benci, Vieri; D’Aprile, Teresa
24
2002
An eigenvalue problem for a quasilinear elliptic field equation. Zbl 1157.35348
Benci, V.; Micheletti, A. M.; Visetti, D.
18
2002
Information and dynamical systems: A concrete measurement on sporadic dynamics. Zbl 1001.37013
Argenti, Fiorella; Benci, Vieri; Cerrai, Paola; Cordelli, Alessandro; Galatolo, Stefano; Menconi, Giulia
6
2002
Solitary waves and Bohmian mechanics. Zbl 1063.81040
Abbondandolo, Alberto; Benci, Vieri
4
2002
Hausdorff nonstandard extensions. Zbl 1061.54018
Forti, Marco; Di Nasso, Mauro; Benci, Vieri
3
2002
Variational and topological methods in the study of nonlinear phenomena. Papers from the international conference, Pisa, Italy, January–February 2000. Zbl 1009.00018
Benci, V. (ed.); Cerami, G. (ed.); Degiovanni, M. (ed.); Fortunato, D. (ed.); Giannoni, F. (ed.); Micheletti, A. M. (ed.)
1
2002
Solitons and Bohmian mechanics. Zbl 0994.35102
Benci, Vieri
1
2002
The nonlinear Klein-Gordon equation coupled with the Maxwell equations. Zbl 1042.78500
Benci, Vieri; Fortunato, Donato
18
2001
An eigenvalue problem for a quasilinear elliptic field equation on \(\mathbb R^n\). Zbl 1109.35369
Benci, V.; Micheletti, A. M.; Visetti, D.
3
2001
Existence, multiplicity and concentration of bound states for a quasilinear elliptic field equation. Zbl 1006.35034
Badiale, Marino; Benci, Vieri; D’Aprile, Teresa
3
2001
Semiclassical limit for a quasilinear elliptic field equation: One-peak and multipeak solutions. Zbl 1012.35026
Badiale, Marino; Benci, Vieri; D’Aprile, Teresa
2
2001
Solitons in several space dimensions: Derrick’s problem and infinitely many solutions. Zbl 0973.35161
Benci, V.; D’Avenia, P.; Fortunato, D.; Pisani, L.
79
2000
An algebraic approach to nonstandard analysis. Zbl 0973.26017
Benci, V.
6
2000
Solitons and relativistic dynamics. Zbl 0973.35162
Benci, V.; Fortunato, D.
3
2000
A variational problem for manifold valued functions. Zbl 0995.58011
Benci, Vieri; Giannoni, Fabio; Piccione, Paolo
1
2000
On the existence of the impossible pilot wave. Zbl 0952.35112
Benci, V.; Fortunato, D.
1
2000
Solitons and the electromagnetic field. Zbl 0930.35168
Benci, V.; Fortunato, D.; Masiello, A.; Pisani, L.
30
1999
Existence of string-like solitons. Zbl 0935.37047
Benci, Vieri; Fortunato, Donato
1
1999
An eigenvalue problem for the Schrödinger-Maxwell equations. Zbl 0926.35125
Benci, Vieri; Fortunato, Donato
287
1998
Soliton like solutions of a Lorentz invariant equation in dimension 3. Zbl 0921.35177
Benci, Vieri; Fortunato, Donato; Pisani, Lorenzo
41
1998
Some properties of the spectral flow in semi-Riemannian geometry. Zbl 0928.53020
Benci, Vieri; Giannoni, Fabio; Masiello, Antonio
5
1998
Estimate of the number of periodic solutions via the twist number. Zbl 0881.34063
Benci, Vieri; Fortunato, Donato
10
1997
Remarks on topological solitons. Zbl 0892.35101
Benci, Vieri; Fortunato, Donato; Pisani, Lorenzo
6
1996
Introduction to Morse theory. A new approach. Zbl 0823.58008
Benci, Vieri
12
1995
Introduction to Morse theory and applications. Zbl 0948.58007
Benci, Vieri
1
1995
Geodesics in space-time manifolds: A variational approach. Zbl 0848.53040
Benci, Vieri; Fortunato, Donato
1
1995
Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology. Zbl 0822.35046
Benci, Vieri; Cerami, Giovanna
103
1994
On the existence of infinitely many geodesics on space-time manifolds. Zbl 0808.58016
Benci, Vieri; Fortunato, Donato
41
1994
Periodic solutions of asymptotically linear dynamical systems. Zbl 0821.34037
Benci, Vieri; Fortunato, Donato
12
1994
On the geodesic connectedness of Lorentzian manifolds. Zbl 0807.53054
Benci, Vieri; Fortunato, Donato; Masiello, Antonio
12
1994
...and 60 more Documents
all top 5

Cited by 1,556 Authors

81 Benci, Vieri
72 Papageorgiou, Nikolaos S.
60 Tang, Xianhua
42 Fortunato, Donato
38 Alves, Claudianor Oliveira
31 Tang, Chun-Lei
29 Candela, Anna Maria
29 Zou, Wenming
27 Figueiredo, Giovany Malcher
27 Giannoni, Fabio
27 Salvatore, Addolorata
26 Miyagaki, Olimpio Hiroshi
25 Chen, Sitong
24 Chen, Haibo
24 Micheletti, Anna Maria
23 Ambrosio, Vincenzo
23 Gasiński, Leszek
23 Rădulescu, Vicenţiu D.
23 Schechter, Martin
22 Bartolo, Rossella
20 Cingolani, Silvia
20 Ding, Yanheng
20 Masiello, Antonio
19 Furtado, Marcelo Fernandes
19 Yang, Minbo
18 Cerami, Giovanna
18 Ghimenti, Marco G.
18 Li, Gongbao
18 Ma, Shiwang
18 Siciliano, Gaetano
18 Su, Jiabao
18 Zhang, Jihui
17 Maia, Liliane A.
16 Bartsch, Thomas J.
16 Do Ó, João M. Bezerra
16 Sánchez Caja, Miguel
16 Wang, Zhi-Qiang
16 Zhao, Fukun
15 d’Avenia, Pietro
15 Liang, Sihua
15 Squassina, Marco
15 Tanaka, Kazunaga
14 Azzollini, Antonio
14 Chen, Guanwei
14 Tang, Chunlei
14 Zhang, Fubao
14 Zhao, Leiga
14 Zhou, Huan-Song
13 Badiale, Marino
13 Cao, Daomin
13 Capozzi, Alberto
13 Clapp, Mónica
13 Piccione, Paolo
13 Pisani, Lorenzo
13 Pomponio, Alessio
13 Wang, Jun
12 Li, Shujie
12 Mederski, Jarosław
12 Mugnai, Dimitri
12 Perera, Kanishka
12 Szulkin, Andrzej
12 Wu, Tsung-fang
11 Germinario, Anna Valeria
11 He, Xiaoming
11 Malchiodi, Andrea
11 Repovš, Dušan D.
11 Rolando, Sergio
11 Sun, Juntao
11 Teng, Kaimin
11 Wu, Tsungfang
11 Zhang, Jian
11 Zhang, Jianjun
10 Bonanno, Claudio
10 Chen, Peng
10 D’Aprile, Teresa
10 Di Nasso, Mauro
10 Flores, José Luis
10 Gazzola, Filippo
10 Liu, Zhaoli
10 Molica Bisci, Giovanni
10 Passaseo, Donato
10 Pistoia, Angela
10 Qin, Dongdong
10 Tang, Zhongwei
10 Vannella, Giuseppina
10 Wei, Juncheng
10 Xu, Junxiang
9 Ambrosetti, Antonio
9 Chen, Jianqing
9 Chen, Shangjie
9 Degiovanni, Marco
9 Greco, Carlo Salvatore
9 Guo, Yuxia
9 Molle, Riccardo
9 Ou, Zengqi
9 Shi, Haiping
9 Soares, Sérgio H. Monari
9 Vaira, Giusi
9 Wu, Xingping
9 Yang, Jianfu
...and 1,456 more Authors
all top 5

Cited in 262 Serials

233 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
162 Journal of Mathematical Analysis and Applications
161 Journal of Differential Equations
103 Nonlinear Analysis. Theory, Methods & Applications
75 Calculus of Variations and Partial Differential Equations
54 Annali di Matematica Pura ed Applicata. Serie Quarta
46 Advanced Nonlinear Studies
45 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
41 Journal of Mathematical Physics
40 Boundary Value Problems
38 ZAMP. Zeitschrift für angewandte Mathematik und Physik
36 Discrete and Continuous Dynamical Systems
33 Journal of Functional Analysis
33 Applied Mathematics Letters
30 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
28 Communications in Contemporary Mathematics
27 Archive for Rational Mechanics and Analysis
27 Applied Mathematics and Computation
27 Communications on Pure and Applied Analysis
25 Complex Variables and Elliptic Equations
24 Applicable Analysis
24 Mathematical Methods in the Applied Sciences
24 Communications in Partial Differential Equations
24 Nonlinear Analysis. Real World Applications
23 NoDEA. Nonlinear Differential Equations and Applications
22 Computers & Mathematics with Applications
22 Proceedings of the American Mathematical Society
22 Advances in Nonlinear Analysis
21 Transactions of the American Mathematical Society
21 Abstract and Applied Analysis
17 Mediterranean Journal of Mathematics
17 Journal of Fixed Point Theory and Applications
16 Manuscripta Mathematica
15 Rocky Mountain Journal of Mathematics
15 Chaos, Solitons and Fractals
12 Advances in Mathematics
12 Rendiconti del Seminario Matematico della Università di Padova
11 Bulletin of the Australian Mathematical Society
11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
11 Advances in Difference Equations
11 Discrete and Continuous Dynamical Systems. Series S
11 Science China. Mathematics
10 Journal of Geometry and Physics
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Duke Mathematical Journal
10 Mathematische Nachrichten
10 Differential Geometry and its Applications
10 Electronic Journal of Differential Equations (EJDE)
10 Journal of Applied Analysis and Computation
9 Mathematische Zeitschrift
9 Topological Methods in Nonlinear Analysis
9 Journal of Applied Mathematics and Computing
9 Milan Journal of Mathematics
8 Communications in Mathematical Physics
8 Mathematische Annalen
8 Monatshefte für Mathematik
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Acta Mathematicae Applicatae Sinica. English Series
7 Acta Mathematica Sinica. New Series
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Acta Mathematica Sinica. English Series
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Nonlinearity
6 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
6 Acta Applicandae Mathematicae
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Journal of Dynamics and Differential Equations
6 Journal of Function Spaces
5 Journal d’Analyse Mathématique
5 Archiv der Mathematik
5 Inventiones Mathematicae
5 Journal of Computational and Applied Mathematics
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Revista Matemática Iberoamericana
5 Journal of Dynamical and Control Systems
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Frontiers of Mathematics in China
4 Communications on Pure and Applied Mathematics
4 General Relativity and Gravitation
4 Reviews in Mathematical Physics
4 Applied Mathematics and Optimization
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Results in Mathematics
4 Physica D
4 Journal of Global Optimization
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Bulletin of the American Mathematical Society. New Series
4 Potential Analysis
4 Arab Journal of Mathematical Sciences
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Journal of Statistical Mechanics: Theory and Experiment
4 The Review of Symbolic Logic
4 Advances in Mathematical Physics
4 International Journal of Differential Equations
4 Journal of Elliptic and Parabolic Equations
4 SN Partial Differential Equations and Applications
3 Israel Journal of Mathematics
3 Mathematical Notes
3 Mathematical Proceedings of the Cambridge Philosophical Society
...and 162 more Serials
all top 5

Cited in 53 Fields

1,575 Partial differential equations (35-XX)
554 Global analysis, analysis on manifolds (58-XX)
310 Ordinary differential equations (34-XX)
270 Dynamical systems and ergodic theory (37-XX)
216 Operator theory (47-XX)
138 Calculus of variations and optimal control; optimization (49-XX)
115 Differential geometry (53-XX)
110 Mechanics of particles and systems (70-XX)
79 Quantum theory (81-XX)
52 Functional analysis (46-XX)
49 Optics, electromagnetic theory (78-XX)
39 Mathematical logic and foundations (03-XX)
35 Mechanics of deformable solids (74-XX)
30 Difference and functional equations (39-XX)
29 Real functions (26-XX)
26 Relativity and gravitational theory (83-XX)
23 Fluid mechanics (76-XX)
20 Algebraic topology (55-XX)
18 Numerical analysis (65-XX)
17 Integral equations (45-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Computer science (68-XX)
13 Probability theory and stochastic processes (60-XX)
13 Biology and other natural sciences (92-XX)
10 General and overarching topics; collections (00-XX)
10 Measure and integration (28-XX)
10 Information and communication theory, circuits (94-XX)
9 General topology (54-XX)
9 Manifolds and cell complexes (57-XX)
8 Potential theory (31-XX)
6 History and biography (01-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Combinatorics (05-XX)
4 Number theory (11-XX)
4 Topological groups, Lie groups (22-XX)
4 Systems theory; control (93-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Convex and discrete geometry (52-XX)
3 Operations research, mathematical programming (90-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Statistics (62-XX)
2 Astronomy and astrophysics (85-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Geometry (51-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year