Edit Profile (opens in new tab) Benci, Vieri Compute Distance To: Compute Author ID: benci.vieri Published as: Benci, Vieri; Benci, V. External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 196 Publications since 1972, including 4 Books 3 Contributions as Editor Co-Authors: 65 Co-Authors with 166 Joint Publications 990 Co-Co-Authors all top 5 Co-Authors 33 single-authored 70 Fortunato, Donato 15 Giannoni, Fabio 14 Micheletti, Anna Maria 11 Di Nasso, Mauro 8 Baglini, Lorenzo Luperi 7 Bonanno, Claudio 7 Masiello, Antonio 7 Menconi, Giulia 6 Cerami, Giovanna 6 Ghimenti, Marco G. 5 Badiale, Marino 5 Bellazzini, Jacopo 5 Galatolo, Stefano 5 Pisani, Lorenzo 4 D’Aprile, Teresa 4 Forti, Marco 3 Abbondandolo, Alberto 3 Capozzi, Alberto 3 Grisanti, Carlo-Romano 3 Horsten, Leon 3 Piccione, Paolo 3 Rabinowitz, Paul Henry 3 Rolando, Sergio 3 Wenmackers, Sylvia 2 Bottazzi, Emanuele 2 Cerrai, Paola 2 Cococcioni, Marco 2 Degiovanni, Marco 2 Freguglia, Paolo 2 Gazzola, Filippo 2 Nardulli, Stefano 2 Pacella, Filomena 2 Sinibaldi, Edoardo 2 Squassina, Marco 2 Visetti, Daniela 1 Al-Gwaiz, Mohammed A. 1 Allegrini, Paolo 1 Ambrosetti, Antonio 1 Argenti, Fiorella 1 Azzollini, Antonio 1 Bartolo, Paolo 1 Berselli, Luigi Carlo 1 Buiatti, Marcello 1 Capoi, A. 1 Cordelli, Alessandro 1 Coron, Jean-Michel 1 d’Avenia, Pietro 1 de Rezende, Ketty Abaroa 1 Dell’Antonio, Gian Fausto 1 D’Onofrio, Biancamaria 1 Fiaschi, Lorenzo 1 Grigolini, Paolo 1 Hofer, Helmut H. W. 1 Ignaccolo, Massimiliano 1 Long, Yiming 1 Luperi, Lorenzo 1 Mosconi, Sunra J. N. 1 Nisoli, Isaia 1 Osorio Acevedo, Luis Eduardo 1 Palatella, Luigi 1 Passaseo, Donato 1 Raffaelli, Giacomo 1 Scafetta, Nicola 1 Shteto, Edlira 1 Visciglia, Nicola 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 4 Milan Journal of Mathematics 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 Bollettino della Unione Matematica Italiana. Series V. B 3 Journal of Fixed Point Theory and Applications 3 Discrete and Continuous Dynamical Systems. Series S 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 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 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 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 International Journal of Applied Mathematics and Computer Science 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 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 all top 5 Fields 92 Partial differential equations (35-XX) 51 Global analysis, analysis on manifolds (58-XX) 41 Dynamical systems and ergodic theory (37-XX) 24 Real functions (26-XX) 22 Ordinary differential equations (34-XX) 22 Operator theory (47-XX) 21 Mechanics of particles and systems (70-XX) 18 Mathematical logic and foundations (03-XX) 16 Functional analysis (46-XX) 16 Differential geometry (53-XX) 16 Quantum theory (81-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Information and communication theory, circuits (94-XX) 8 Computer science (68-XX) 7 Probability theory and stochastic processes (60-XX) 7 Relativity and gravitational theory (83-XX) 6 General topology (54-XX) 6 Optics, electromagnetic theory (78-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 4 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 165 Publications have been cited 3,979 times in 2,586 Documents Cited by ▼ Year ▼ Abstract critical point theorems and applications to some nonlinear problems with ”strong” resonance at infinity. Zbl 0522.58012Bartolo, P.; Benci, V.; Fortunato, D. 477 1983 An eigenvalue problem for the Schrödinger-Maxwell equations. Zbl 0926.35125Benci, Vieri; Fortunato, Donato 379 1998 Critical point theorems for indefinite functionals. Zbl 0465.49006Benci, Vieri; Rabinowitz, Paul H. 251 1979 Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations. Zbl 1037.35075Benci, Vieri; Fortunato, Donato 228 2002 On critical point theory for indefinite functionals in the presence of symmetries. Zbl 0504.58014Benci, Vieri 169 1982 Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036Benci, Vieri; Cerami, Giovanna 167 1987 Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\). Zbl 0705.35042Benci, Vieri; Cerami, Giovanna 142 1990 The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems. Zbl 0727.35055Benci, Vieri; Cerami, Giovanna 137 1991 Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology. Zbl 0822.35046Benci, Vieri; Cerami, Giovanna 127 1994 Solitons in several space dimensions: Derrick’s problem and infinitely many solutions. Zbl 0973.35161Benci, V.; D’Avenia, P.; Fortunato, D.; Pisani, L. 113 2000 A geometrical index for the group \(S^1\) and some application to the study of periodic solutions of ordinary differential equations. Zbl 0447.34040Benci, Vieri 51 1981 A new approach to the Morse-Conley theory and some applications. Zbl 0778.58011Benci, Vieri 48 1991 Soliton like solutions of a Lorentz invariant equation in dimension 3. Zbl 0921.35177Benci, Vieri; Fortunato, Donato; Pisani, Lorenzo 44 1998 Towards a unified field theory for classical electrodynamics. Zbl 1065.78004Benci, Vieri; Fortunato, Donato 44 2004 On the existence of multiple geodesics in static space-times. Zbl 0716.53057Benci, V.; Fortunato, D.; Giannoni, F. 44 1991 On the existence of infinitely many geodesics on space-time manifolds. Zbl 0808.58016Benci, Vieri; Fortunato, Donato 39 1994 Solitons and the electromagnetic field. Zbl 0930.35168Benci, V.; Fortunato, D.; Masiello, A.; Pisani, L. 36 1999 On the number of the positive solutions of some nonlinear elliptic problems. Zbl 0838.35040Benci, V.; Cerami, G.; Passaseo, D. 36 1991 Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains. Zbl 0422.35038Benci, V.; Fortunato, D. 33 1979 Numerosities of labelled sets: A new way of counting. Zbl 1028.03042Benci, Vieri; Di Nasso, Mauro 33 2003 Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with \(V(\infty)=0\). Zbl 1105.35112Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria 33 2005 Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo 32 2014 Periodic solutions of Lagrangian systems on a compact manifold. Zbl 0605.58034Benci, Vieri 31 1986 Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems. Zbl 0588.35007Benci, V. 31 1984 Variational methods in nonlinear field equations. Solitary waves, hylomorphic solitons and vortices. Zbl 1312.35001Benci, Vieri; Fortunato, Donato 28 2014 Normal modes of a Lagrangian system constrained in a potential well. Zbl 0561.58006Benci, V. 27 1984 The semiclassical limit of the nonlinear Schrödinger equation in a radial potential. Zbl 1060.35129Benci, Vieri; D’Aprile, Teresa 26 2002 Some critical point theorems and applications. Zbl 0472.58009Benci, Vieri 26 1980 On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds. Zbl 1130.58010Benci, Vieri; Bonanno, Claudio; Micheletti, Anna Maria 26 2007 The nonlinear Klein-Gordon equation coupled with the Maxwell equations. Zbl 1042.78500Benci, Vieri; Fortunato, Donato 25 2001 The dual method in critical point theory. Multiplicity results for indefinite functional. Zbl 0526.58013Benci, Vieri; Fortunato, Donato 25 1982 Existence of solutions for the nonlinear Schrödinger equation with \(V(\infty)=0\). Zbl 1231.35225Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria 23 2006 Periodic solutions of Hamiltonian systems with superquadratic potential. Zbl 0632.34036Benci, V.; Capozzi, A.; Fortunato, D. 23 1986 Existence of static solutions of the semilinear Maxwell equations. Zbl 1150.35078Azzollini, Antonio; Benci, V.; D’Aprile, Teresa; Fortunato, Donato 23 2006 A nonlinear elliptic equation with singular potential and applications to nonlinear field equations. Zbl 1149.35033Badiale, Marino; Benci, Vieri; Rolando, Sergio 22 2007 Discreteness conditions of the spectrum of Schrödinger operators. Zbl 0389.35016Benci, V.; Fortunato, D. 21 1978 An eigenvalue problem for a quasilinear elliptic field equation. Zbl 1157.35348Benci, V.; Micheletti, A. M.; Visetti, D. 21 2002 Alpha-theory: An elementary axiomatics for nonstandard analysis. Zbl 1038.26019Benci, Vieri; Di Nasso, Mauro 21 2003 Periodic solutions of prescribed energy for a class of Hamiltonian systems with singular potentials. Zbl 0689.34034Benci, Vieri; Giannoni, Fabio 21 1989 Solitary waves in the nolinear wave equation and in gauge theories. Zbl 1122.35121Benci, Vieri; Fortunato, Donato 21 2007 A note on the existence of multiple brake orbits. Zbl 0811.70015Ambrosetti, Antonio; Benci, Vieri; Long, Yiming 20 1993 An Aristotelian notion of size. Zbl 1114.03055Benci, Vieri; Di Nasso, Mauro; Forti, Marco 18 2006 Solitary waves with non-vanishing angular momentum. Zbl 1030.35051Benci, Vieri; Visciglia, Nicola 17 2003 The eightfold path to nonstandard analysis. Zbl 1104.03061Benci, Vieri; Forti, Marco; Di Nasso, Mauro 17 2006 Homoclinic orbits on compact manifolds. Zbl 0737.58052Benci, Vieri; Giannoni, Fabio 17 1991 Solitons in Schrödinger-Maxwell equations. Zbl 1307.35292Benci, Vieri; Fortunato, Donato 17 2014 Non-Archimedean probability. Zbl 1411.60007Benci, Vieri; Horsten, Leon; Wenmackers, Sylvia 17 2013 Positive solutions of some eigenvalue problems in the theory of variational inequalities. Zbl 0432.35059Benci, Vieri 16 1977 On the existence of geodesics in static Lorentz manifolds with singular boundary. Zbl 0776.53040Benci, V.; Fortunato, D.; Giannoni, F. 16 1992 On the existence of closed geodesics on noncompact Riemannian manifolds. Zbl 0789.53028Benci, Vieri; Giannoni, Fabio 16 1992 Hylomorphic solitons in the nonlinear Klein-Gordon equation. Zbl 1194.35096Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E. 16 2009 On a filtration problem through a porous medium. Zbl 0298.76049Benci, Vieri 15 1974 Periodic solutions of asymptotically linear dynamical systems. Zbl 0821.34037Benci, Vieri; Fortunato, Donato 15 1994 Spinning Q-balls for the Klein-Gordon-Maxwell equations. Zbl 1194.78009Benci, Vieri; Fortunato, Donato 15 2010 Periodic bounce trajectories with a low number of bounce points. Zbl 0667.34054Benci, V.; Giannoni, F. 15 1989 Solitary waves in Abelian gauge theories. Zbl 1157.58005Benci, Vieri; Fortunato, Donato 15 2008 Hylomorphic solitons. Zbl 1205.35040Benci, Vieri 15 2009 Some compact embedding theorems for weighted Sobolev spaces. Zbl 0382.46018Benci, V.; Fortunato, D. 14 1976 Compression and diffusion: a joint approach to detect complexity. Zbl 1038.37062Allegrini, P.; Benci, V.; Grigolini, P.; Hamilton, P.; Ignaccolo, M.; Menconi, G.; Palatella, L.; Raffaelli, G.; Scafetta, N.; Virgilio, M.; Yang, J. 14 2003 Does bifurcation from the essential spectrum occur? Zbl 0471.35007Benci, Vieri; Fortunato, Donato 14 1981 Ultrafunctions and generalized solutions. Zbl 1273.26035Benci, Vieri 14 2013 On the existence of the fundamental eigenvalue of an elliptic problem in \(\mathbb R^N\). Zbl 1136.47040Bellazzini, J.; Benci, V.; Ghimenti, M.; Micheletti, A. M. 14 2007 Introduction to Morse theory. A new approach. Zbl 0823.58008Benci, Vieri 13 1995 A “Birkhoff-Lewis” type result for a class of Hamiltonian systems. Zbl 0616.58014Benci, Vieri; Fortunato, Donato 13 1987 Existence of geodesics for the Lorentz metric of a stationary gravitational field. Zbl 0697.58011Benci, Vieri; Fortunato, Donato 13 1990 Solitons for the nonlinear Klein-Gordon equation. Zbl 1200.35248Bellazzini, J.; Benci, V.; Bonanno, C.; Micheletti, A. M. 13 2010 Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations. Zbl 1194.35343Benci, Vieri; Fortunato, Donato 13 2009 On the geodesic connectedness of Lorentzian manifolds. Zbl 0807.53054Benci, Vieri; Fortunato, Donato; Masiello, Antonio 12 1994 Dynamical systems and computable information. Zbl 1058.94512Benci, V.; Bonanno, C.; Galatolo, S.; Menconi, G.; Virgilio, M. 11 2004 Solutions in exterior domains of null mass nonlinear field equations. Zbl 1114.35143Benci, Vieri; Micheletti, Anna Maria 11 2006 Estimate of the number of periodic solutions via the twist number. Zbl 0881.34063Benci, Vieri; Fortunato, Donato 11 1997 Ultrafunctions and applications. Zbl 1290.26038Benci, Vieri; Baglini, Lorenzo Luperi 11 2014 Infinitesimal probabilities. Zbl 1400.03006Benci, Vieri; Horsten, Leon; Wenmackers, Sylvia 11 2018 Three-dimensional vortices in Abelian gauge theories. Zbl 1173.81013Benci, Vieri; Fortunato, Donato 11 2009 Solitary waves: physical aspects and mathematical results. Zbl 1120.37045Badiale, Marino; Benci, V.; Rolando, Sergio 10 2004 A non-Archimedean algebra and the Schwartz impossibility theorem. Zbl 1321.46045Benci, Vieri; Luperi Baglini, Lorenzo 10 2015 Geodesics on static Lorentz manifolds with convex boundary. Zbl 0820.53050Benci, V.; Fortunato, D.; Giannoni, F. 10 1992 The nonlinear Schrödinger equation: solitons dynamics. Zbl 1205.35287Benci, Vieri; Ghimenti, Marco; Micheletti, Anna Maria 10 2010 On asymptotically quadratic Hamiltonian systems. Zbl 0525.70021Benci, V.; Capozzi, A.; Fortunato, D. 10 1983 A remark on the nodal regions of the solutions of some superlinear elliptic equations. Zbl 0686.35043Benci, Vieri; Fortunato, Donato 10 1989 An algebraic approach to nonstandard analysis. Zbl 0973.26017Benci, V. 9 2000 Three dimensional vortices in the nonlinear wave equation. Zbl 1178.35263Badiale, Marino; Benci, Vieri; Rolando, Sergio 9 2009 Morse theory for symmetric functionals on the sphere and an application to a bifurcation problem. Zbl 0564.58011Benci, Vieri; Pacella, Filomena 9 1985 The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphere. Zbl 0597.35022Benci, V.; Coron, Jean-Michel 9 1985 Su un problema di autovalori per disequazioni variazionali. Zbl 0324.49004Benci, V.; Micheletti, Anna Maria 8 1976 A model problem for ultrafunctions. Zbl 1292.26073Benci, Vieri; Luperi, Lorenzo 8 2014 On the existence of stable charged Q-balls. Zbl 1272.35173Benci, Vieri; Fortunato, Donato 8 2011 Elementary numerosity and measures. Zbl 1300.26018Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro 7 2014 Generalized functions beyond distributions. Zbl 1331.26051Benci, Vieri; Luperi Baglini, Lorenzo 7 2015 A new proof of the existence of a brake orbit. Zbl 0674.34034Benci, Vieri; Giannoni, Fabio 7 1989 Basic properties of ultrafunctions. Zbl 1318.26054Benci, Vieri; Luperi Baglini, Lorenzo 7 2014 A Morse index for geodesics in static Lorentz manifolds. Zbl 0735.58011Benci, Vieri; Masiello, Antonio 7 1992 Periodic solutions of a class of Hamiltonian systems. Zbl 0509.34039Benci, V.; Capozzi, A.; Fortunato, D. 7 1982 Hylomorphic solitons and charged Q-balls: existence and stability. Zbl 1348.35048Benci, Vieri; Fortunato, Donato 7 2014 Some nonlinear elliptic problems with asymptotic conditions. Zbl 0404.35043Benci, Vieri; Fortunato, Donato 6 1979 A minimization method and applications to the study of solitons. Zbl 1263.47084Benci, Vieri; Fortunato, Donato 6 2012 Morse theory for \(C^ 1\)-functionals and Conley blocks. Zbl 0848.58009Benci, Vieri; Giannoni, Fabio 6 1994 Information and dynamical systems: A concrete measurement on sporadic dynamics. Zbl 1001.37013Argenti, Fiorella; Benci, Vieri; Cerrai, Paola; Cordelli, Alessandro; Galatolo, Stefano; Menconi, Giulia 6 2002 Remarks on topological solitons. Zbl 0892.35101Benci, Vieri; Fortunato, Donato; Pisani, Lorenzo 6 1996 Hylomorphic solitons on lattices. Zbl 1205.37081Benci, Vieri; Fortunato, Donato 6 2010 The algorithmic numbers in non-Archimedean numerical computing environments. Zbl 07439617Benci, Vieri; Cococcioni, Marco 2 2021 Multiple solutions for the Van der Waals-Allen-Cahn-Hilliard equation with a volume constraint. Zbl 1437.35208Benci, Vieri; Nardulli, Stefano; Piccione, Paolo 2 2020 Generalized solutions of variational problems and applications. Zbl 1414.26051Benci, Vieri; Luperi Baglini, Lorenzo; Squassina, Marco 1 2020 How to measure the infinite. Mathematics with infinite and infinitesimal numbers. Zbl 1429.26001Benci, Vieri; Di Nasso, Mauro 4 2019 The Caccioppoli ultrafunctions. Zbl 1434.46024Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano 1 2019 Mathematics and infinity. History and topicality of a problem. (La matematica e l’infinito. Storia e attualità di un problema.) Zbl 1425.00068Benci, Vieri; Freguglia, Paolo 1 2019 Infinitesimal probabilities. Zbl 1400.03006Benci, Vieri; Horsten, Leon; Wenmackers, Sylvia 11 2018 Toward the discovery of infinitesimal numbers. Lessons of mathematical analysis exposed in a non-Archimedean field. (Alla scoperta dei numeri infinitesimi. Lezioni di analisi matematica esposte in un campo non-archimedeo.) Zbl 1405.26004Benci, Vieri 2 2018 Existence of torsional solitons in a beam model of suspension bridge. Zbl 1373.35301Benci, Vieri; Fortunato, Donato; Gazzola, Filippo 4 2017 Generalized solutions in PDEs and the Burgers’ equation. Zbl 1373.35083Benci, Vieri; Luperi Baglini, Lorenzo 2 2017 A generalization of Gauss’ divergence theorem. Zbl 1350.26017Benci, Vieri; Baglini, Lorenzo Luperi 4 2016 A topological approach to non-Archimedean mathematics. Zbl 1351.26046Benci, Vieri; Baglini, Lorenzo Luperi 3 2016 Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations. Zbl 1345.35014Benci, Vieri; Fortunato, Donato 1 2016 A non-Archimedean algebra and the Schwartz impossibility theorem. Zbl 1321.46045Benci, Vieri; Luperi Baglini, Lorenzo 10 2015 Generalized functions beyond distributions. Zbl 1331.26051Benci, Vieri; Luperi Baglini, Lorenzo 7 2015 Some applications of numerosities in measure theory. Zbl 1309.26028Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro 2 2015 Hylomorphic solitons for the generalized KdV equation. Zbl 1333.35230Benci, Vieri; Fortunato, Donato 1 2015 Bending and stretching energies in a rectangular plate modeling suspension bridges. Zbl 1288.35201Al-Gwaiz, Mohammed; Benci, Vieri; Gazzola, Filippo 32 2014 Variational methods in nonlinear field equations. Solitary waves, hylomorphic solitons and vortices. Zbl 1312.35001Benci, Vieri; Fortunato, Donato 28 2014 Solitons in Schrödinger-Maxwell equations. Zbl 1307.35292Benci, Vieri; Fortunato, Donato 17 2014 Ultrafunctions and applications. Zbl 1290.26038Benci, Vieri; Baglini, Lorenzo Luperi 11 2014 A model problem for ultrafunctions. Zbl 1292.26073Benci, Vieri; Luperi, Lorenzo 8 2014 Elementary numerosity and measures. Zbl 1300.26018Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro 7 2014 Basic properties of ultrafunctions. Zbl 1318.26054Benci, Vieri; Luperi Baglini, Lorenzo 7 2014 Hylomorphic solitons and charged Q-balls: existence and stability. Zbl 1348.35048Benci, Vieri; Fortunato, Donato 7 2014 Non-Archimedean probability. Zbl 1411.60007Benci, Vieri; Horsten, Leon; Wenmackers, Sylvia 17 2013 Ultrafunctions and generalized solutions. Zbl 1273.26035Benci, Vieri 14 2013 On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation. Zbl 1307.35169Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E. 4 2013 A minimization method and applications to the study of solitons. Zbl 1263.47084Benci, Vieri; Fortunato, Donato 6 2012 On the dynamics of solitons in the nonlinear Schrödinger equation. Zbl 1256.35129Benci, Vieri; Ghimenti, Marco; Micheletti, Anna Maria 6 2012 Solitary waves and vortices in non-abelian gauge theories with matter. Zbl 1260.81160Benci, Vieri; Bonanno, Claudio 5 2012 Axioms for non-Archimedean probability (NAP). Zbl 1330.60008Wenmackers, Sylvia; Benci, Vieri; Horsten, Leon 4 2012 Existence of solitons in the nonlinear beam equation. Zbl 1407.74046Benci, Vieri; Fortunato, Donato 3 2012 On the existence of stable charged Q-balls. Zbl 1272.35173Benci, Vieri; Fortunato, Donato 8 2011 The nonlinear Schroedinger equation: existence, stability and dynamics of solitons. Zbl 1241.35186Benci, Vieri; Ghimenti, Marco; Micheletti, Anna Maria 1 2011 Hamiltonian formulation of the Klein-Gordon-Maxwell equations. Zbl 1221.35003Benci, Vieri; Fortunato, Donato 1 2011 Spinning Q-balls for the Klein-Gordon-Maxwell equations. Zbl 1194.78009Benci, Vieri; Fortunato, Donato 15 2010 Solitons for the nonlinear Klein-Gordon equation. Zbl 1200.35248Bellazzini, J.; Benci, V.; Bonanno, C.; Micheletti, A. M. 13 2010 The nonlinear Schrödinger equation: solitons dynamics. Zbl 1205.35287Benci, Vieri; Ghimenti, Marco; Micheletti, Anna Maria 10 2010 Hylomorphic solitons on lattices. Zbl 1205.37081Benci, Vieri; Fortunato, Donato 6 2010 An elementary approach to stochastic differential equations using the infinitesimals. Zbl 1232.03060Benci, Vieri; Galatolo, Stefano; Ghimenti, Marco 6 2010 Hylomorphic solitons in the nonlinear Klein-Gordon equation. Zbl 1194.35096Bellazzini, J.; Benci, V.; Bonanno, C.; Sinibaldi, E. 16 2009 Hylomorphic solitons. Zbl 1205.35040Benci, Vieri 15 2009 Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations. Zbl 1194.35343Benci, Vieri; Fortunato, Donato 13 2009 Three-dimensional vortices in Abelian gauge theories. Zbl 1173.81013Benci, Vieri; Fortunato, Donato 11 2009 Three dimensional vortices in the nonlinear wave equation. Zbl 1178.35263Badiale, Marino; Benci, Vieri; Rolando, Sergio 9 2009 Solitary waves in Abelian gauge theories. Zbl 1157.58005Benci, Vieri; Fortunato, Donato 15 2008 On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds. Zbl 1130.58010Benci, Vieri; Bonanno, Claudio; Micheletti, Anna Maria 26 2007 A nonlinear elliptic equation with singular potential and applications to nonlinear field equations. Zbl 1149.35033Badiale, Marino; Benci, Vieri; Rolando, Sergio 22 2007 Solitary waves in the nolinear wave equation and in gauge theories. Zbl 1122.35121Benci, Vieri; Fortunato, Donato 21 2007 On the existence of the fundamental eigenvalue of an elliptic problem in \(\mathbb R^N\). Zbl 1136.47040Bellazzini, J.; Benci, V.; Ghimenti, M.; Micheletti, A. M. 14 2007 An Euclidean measure of size for mathematical universes. Zbl 1131.03029Benci, Vieri; Di Nasso, Mauro; Forti, Marco 3 2007 Existence of solutions for the nonlinear Schrödinger equation with \(V(\infty)=0\). Zbl 1231.35225Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria 23 2006 Existence of static solutions of the semilinear Maxwell equations. Zbl 1150.35078Azzollini, Antonio; Benci, V.; D’Aprile, Teresa; Fortunato, Donato 23 2006 An Aristotelian notion of size. Zbl 1114.03055Benci, Vieri; Di Nasso, Mauro; Forti, Marco 18 2006 The eightfold path to nonstandard analysis. Zbl 1104.03061Benci, Vieri; Forti, Marco; Di Nasso, Mauro 17 2006 Solutions in exterior domains of null mass nonlinear field equations. Zbl 1114.35143Benci, Vieri; Micheletti, Anna Maria 11 2006 Existence of 3D-vortices in abelian gauge theories. Zbl 1167.35351Fortunato, Donato; Benci, V. 3 2006 A unitarian approach to classical electrodynamics: the semilinear Maxwell equations. Zbl 1129.78002Benci, Vieri; Fortunato, Donato 2 2006 Periodic orbits of a one-dimensional non-autonomous Hamiltonian system. Zbl 1104.37041Bellazzini, 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 1105.35112Benci, Vieri; Grisanti, Carlo R.; Micheletti, Anna Maria 33 2005 A purely algebraic characterization of the hyperreal numbers. Zbl 1113.26028Benci, Vieri; Di Nasso, Mauro 5 2005 Matter and electromagnetic fields: remarks on the dualistic and unitarian standpoints. Zbl 1091.47057Benci, Vieri; Fortunato, Donato 1 2005 Towards a unified field theory for classical electrodynamics. Zbl 1065.78004Benci, Vieri; Fortunato, Donato 44 2004 Dynamical systems and computable information. Zbl 1058.94512Benci, V.; Bonanno, C.; Galatolo, S.; Menconi, G.; Virgilio, M. 11 2004 Solitary waves: physical aspects and mathematical results. Zbl 1120.37045Badiale, Marino; Benci, V.; Rolando, Sergio 10 2004 Solitary waves in classical field theory. Zbl 1404.58028Benci, V.; Fortunato, D. 5 2004 A strongly degenerate elliptic equation arising from the semilinear Maxwell equations. Zbl 1116.35319Benci, Vieri; Fortunato, Donato 4 2004 Numerosities of labelled sets: A new way of counting. Zbl 1028.03042Benci, Vieri; Di Nasso, Mauro 33 2003 Alpha-theory: An elementary axiomatics for nonstandard analysis. Zbl 1038.26019Benci, Vieri; Di Nasso, Mauro 21 2003 Solitary waves with non-vanishing angular momentum. Zbl 1030.35051Benci, Vieri; Visciglia, Nicola 17 2003 Compression and diffusion: a joint approach to detect complexity. Zbl 1038.37062Allegrini, 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 1062.03066Benci, Vieri; Di Nasso, Mauro 6 2003 On the Morse inequalities for geodesics on Lorentzian manifolds. Zbl 1056.53042Abbondandolo, A.; Benci, V.; Fortunato, D.; Masiello, A. 4 2003 Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations. Zbl 1037.35075Benci, Vieri; Fortunato, Donato 228 2002 The semiclassical limit of the nonlinear Schrödinger equation in a radial potential. Zbl 1060.35129Benci, Vieri; D’Aprile, Teresa 26 2002 An eigenvalue problem for a quasilinear elliptic field equation. Zbl 1157.35348Benci, V.; Micheletti, A. M.; Visetti, D. 21 2002 Information and dynamical systems: A concrete measurement on sporadic dynamics. Zbl 1001.37013Argenti, Fiorella; Benci, Vieri; Cerrai, Paola; Cordelli, Alessandro; Galatolo, Stefano; Menconi, Giulia 6 2002 Hausdorff nonstandard extensions. Zbl 1061.54018Forti, Marco; Di Nasso, Mauro; Benci, Vieri 4 2002 Solitary waves and Bohmian mechanics. Zbl 1063.81040Abbondandolo, Alberto; Benci, Vieri 4 2002 Solitons and Bohmian mechanics. Zbl 0994.35102Benci, Vieri 1 2002 Variational and topological methods in the study of nonlinear phenomena. Papers from the international conference, Pisa, Italy, January–February 2000. Zbl 1009.00018 1 2002 The nonlinear Klein-Gordon equation coupled with the Maxwell equations. Zbl 1042.78500Benci, Vieri; Fortunato, Donato 25 2001 Existence, multiplicity and concentration of bound states for a quasilinear elliptic field equation. Zbl 1006.35034Badiale, Marino; Benci, Vieri; D’Aprile, Teresa 3 2001 An eigenvalue problem for a quasilinear elliptic field equation on \(\mathbb R^n\). Zbl 1109.35369Benci, V.; Micheletti, A. M.; Visetti, D. 3 2001 Semiclassical limit for a quasilinear elliptic field equation: One-peak and multipeak solutions. Zbl 1012.35026Badiale, Marino; Benci, Vieri; D’Aprile, Teresa 2 2001 Solitons in several space dimensions: Derrick’s problem and infinitely many solutions. Zbl 0973.35161Benci, V.; D’Avenia, P.; Fortunato, D.; Pisani, L. 113 2000 An algebraic approach to nonstandard analysis. Zbl 0973.26017Benci, V. 9 2000 Solitons and relativistic dynamics. Zbl 0973.35162Benci, V.; Fortunato, D. 4 2000 On the existence of the impossible pilot wave. Zbl 0952.35112Benci, V.; Fortunato, D. 1 2000 A variational problem for manifold valued functions. Zbl 0995.58011Benci, Vieri; Giannoni, Fabio; Piccione, Paolo 1 2000 Solitons and the electromagnetic field. Zbl 0930.35168Benci, V.; Fortunato, D.; Masiello, A.; Pisani, L. 36 1999 Existence of string-like solitons. Zbl 0935.37047Benci, Vieri; Fortunato, Donato 1 1999 An eigenvalue problem for the Schrödinger-Maxwell equations. Zbl 0926.35125Benci, Vieri; Fortunato, Donato 379 1998 Soliton like solutions of a Lorentz invariant equation in dimension 3. Zbl 0921.35177Benci, Vieri; Fortunato, Donato; Pisani, Lorenzo 44 1998 Some properties of the spectral flow in semi-Riemannian geometry. Zbl 0928.53020Benci, Vieri; Giannoni, Fabio; Masiello, Antonio 5 1998 Estimate of the number of periodic solutions via the twist number. Zbl 0881.34063Benci, Vieri; Fortunato, Donato 11 1997 Remarks on topological solitons. Zbl 0892.35101Benci, Vieri; Fortunato, Donato; Pisani, Lorenzo 6 1996 Introduction to Morse theory. A new approach. Zbl 0823.58008Benci, Vieri 13 1995 Introduction to Morse theory and applications. Zbl 0948.58007Benci, Vieri 1 1995 ...and 65 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,756 Authors 87 Papageorgiou, Nikolaos S. 85 Benci, Vieri 67 Tang, Xianhua 59 Tang, Chun-Lei 42 Alves, Claudianor Oliveira 40 Fortunato, Donato 34 Figueiredo, Giovany Malcher 33 Candela, Anna Maria 31 Salvatore, Addolorata 30 Rădulescu, Vicenţiu D. 30 Zou, Wenming 29 Ambrosio, Vincenzo 29 Chen, Sitong 28 Miyagaki, Olimpio Hiroshi 27 Chen, Haibo 27 Gasiński, Leszek 27 Giannoni, Fabio 27 Wu, Tsungfang 25 Su, Jiabao 24 Micheletti, Anna Maria 23 Schechter, Martin 22 Bartolo, Rossella 21 Cingolani, Silvia 20 Ding, Yanheng 20 Furtado, Marcelo Fernandes 20 Masiello, Antonio 20 Siciliano, Gaetano 20 Yang, Minbo 19 Ghimenti, Marco G. 19 Zhang, Jihui 18 Cerami, Giovanna 18 Li, Gongbao 18 Ma, Shiwang 18 Maia, Liliane A. 18 Zhang, Fubao 17 Azzollini, Antonio 17 Zhao, Fukun 16 d’Avenia, Pietro 16 Do Ó, João M. Bezerra 16 Liang, Sihua 16 Repovš, Dušan D. 16 Sánchez Caja, Miguel 16 Zhao, Leiga 15 Bartsch, Thomas J. 15 Chen, Guanwei 15 Mederski, Jarosław 14 Clapp, Mónica 14 Piccione, Paolo 14 Squassina, Marco 14 Szulkin, Andrzej 14 Tanaka, Kazunaga 14 Wang, Jun 14 Zhang, Jianjun 14 Zhou, Huan-Song 13 Badiale, Marino 13 Cao, Daomin 13 Capozzi, Alberto 13 Li, Shujie 13 Pisani, Lorenzo 13 Pomponio, Alessio 13 Qin, Dongdong 13 Sun, Juntao 13 Wang, Zhi-Qiang 12 Chen, Peng 12 Molle, Riccardo 12 Mugnai, Dimitri 12 Perera, Kanishka 12 Tang, Zhongwei 12 Wu, Xingping 12 Zhang, Jian 11 Chen, Shangjie 11 Gazzola, Filippo 11 Germinario, Anna Valeria 11 He, Xiaoming 11 Liu, Chungen 11 Liu, Zhisu 11 Malchiodi, Andrea 11 Molica Bisci, Giovanni 11 Rolando, Sergio 11 Teng, Kaimin 11 Vannella, Giuseppina 11 Winkert, Patrick 11 Xu, Junxiang 11 Yang, Jianfu 11 Zhang, Duanzhi 11 Zhang, Jian 10 Bonanno, Claudio 10 D’Aprile, Teresa 10 Di Nasso, Mauro 10 Flores, José Luis 10 Liu, Zhaoli 10 Ou, Zengqi 10 Passaseo, Donato 10 Pistoia, Angela 10 Shi, Haiping 10 Wang, Chunhua 10 Wei, Juncheng 10 Zhang, Xingyong 9 Ambrosetti, Antonio 9 Baglini, Lorenzo Luperi ...and 1,656 more Authors all top 5 Cited in 294 Serials 239 Nonlinear Analysis. 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Series II 4 Results in Mathematics ...and 194 more Serials all top 5 Cited in 54 Fields 1,875 Partial differential equations (35-XX) 588 Global analysis, analysis on manifolds (58-XX) 317 Ordinary differential equations (34-XX) 280 Dynamical systems and ergodic theory (37-XX) 231 Operator theory (47-XX) 141 Calculus of variations and optimal control; optimization (49-XX) 125 Differential geometry (53-XX) 114 Mechanics of particles and systems (70-XX) 83 Quantum theory (81-XX) 64 Optics, electromagnetic theory (78-XX) 63 Functional analysis (46-XX) 47 Mathematical logic and foundations (03-XX) 41 Real functions (26-XX) 37 Mechanics of deformable solids (74-XX) 34 Difference and functional equations (39-XX) 26 Relativity and gravitational theory (83-XX) 23 Fluid mechanics (76-XX) 21 Algebraic topology (55-XX) 20 Numerical analysis (65-XX) 18 Integral equations (45-XX) 17 Computer science (68-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Biology and other natural sciences (92-XX) 14 Probability theory and stochastic processes (60-XX) 12 Measure and integration (28-XX) 11 General and overarching topics; collections (00-XX) 10 Information and communication theory, circuits (94-XX) 9 Potential theory (31-XX) 9 General topology (54-XX) 9 Manifolds and cell complexes (57-XX) 7 History and biography (01-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Combinatorics (05-XX) 5 Topological groups, Lie groups (22-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Number theory (11-XX) 4 Field theory and polynomials (12-XX) 4 Convex and discrete geometry (52-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-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 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year