Vieri Benci

Q: What Schools Are Affiliated With Vieri Benci

Vieri Benci is affiliated with the following schools: Scuola Normale Superiore di Pisa, Consorzio ICoN, University of Florence

Vieri Benci's AcademicInfluence.com Rankings

Vieri Benci

Mathematics

#7216

World Rank

#9849

Historical Rank

Measure Theory

#1956

World Rank

#2378

Historical Rank

mathematics Degrees

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Mathematics

Vieri Benci's Degrees

PhD Mathematics University of Florence

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Vieri Benci's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity (1983) (773)
An eigenvalue problem for the Schrödinger-Maxwell equations (1998) (587)
Critical point theorems for indefinite functionals (1979) (456)
SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS (2002) (343)
On critical point theory for indefinite functionals in the presence of symmetries (1982) (276)
Positive solutions of some nonlinear elliptic problems in exterior domains (1987) (265)
The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems (1991) (249)
Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology (1994) (223)
Solitons in Several Space Dimensions:¶Derrick's Problem and¶Infinitely Many Solutions (2000) (196)
Existence of positive solutions of the equation −Δu + a(x)u = u(N + 2)(N − 2) in RN (1990) (182)
A new approach to the Morse-Conley theory and some applications (1991) (97)
Towards a Unified Field Theory for Classical Electrodynamics (2004) (96)
Soliton Like Solutions of a Lorentz Invariant Equation in Dimension 3 (1998) (93)
A geometrical index for the group S1 and some applications to the study of periodic solutions of ordinary differential equations (1981) (86)
Non-Archimedean Probability (2011) (84)
On the existence of multiple geodesics in static space-times (1991) (83)
Numerosities of labelled sets: a new way of counting (2003) (81)
Solitons and the electromagnetic field (1999) (72)
Periodic solutions of Lagrangian systems on a compact manifold (1986) (67)
Infinitesimal Probabilities* (2016) (65)
Alpha-theory: An elementary axiomatics for nonstandard analysis (2003) (65)
Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural Hamiltonian systems (1984) (63)
Compression and diffusion: a joint approach to detect complexity (2002) (59)
On the existence of infinitely many geodesics on space-time manifolds (1994) (56)
The eightfold path to Nonstandard Analysis (2004) (54)
The Semiclassical Limit of the Nonlinear Schrödinger Equation in a Radial Potential (2002) (52)
Weighted sobolev spaces and the nonlinear dirichlet problem in unbounded domains (1979) (50)
On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds (2007) (50)
An Aristotelian notion of size (2006) (49)
Existence of static solutions of the semilinear Maxwell equations (2006) (48)
Discreteness conditions of the spectrum of Schrödinger operators (1978) (47)
A nonlinear elliptic equation with singular potential and applications to nonlinear field equations (2007) (45)
Bending and stretching energies in a rectangular plate modeling suspension bridges (2014) (45)
The nonlinear Klein–Gordon equation coupled with the Maxwell equations (2001) (44)
An Eigenvalue Problem for a Quasilinear Elliptic Field Equation (2001) (42)
Existence and non existence of the ground state solution for the nonlinear Schroedinger equations with $V(\infty)=0$ (2005) (42)
Variational Methods in Nonlinear Field Equations (2014) (41)
Hylomorphic solitons in the nonlinear Klein-Gordon equation (2008) (40)
Some critical point theorems and applications (1980) (40)
Normal modes of a Lagrangian system constrained in a potential well (1984) (39)
Solitons for the Nonlinear Klein-Gordon Equation (2007) (39)
On the existence of closed geodesics on noncompact Riemannian manifolds (1992) (39)
Existence of Solutions for the Nonlinear Schrödinger Equation with V (∞) = 0 (2005) (39)
The dual method in critical point theory. Multiplicity results for indefinite functional (1982) (39)
Dynamical systems and computable information (2002) (36)
A note on the existence of multiple brake orbits (1993) (36)
Introduction to Morse Theory a New Approach (1995) (35)
Nonlinear analysis and applications to physical sciences (2004) (35)
Solitary Waves in Abelian Gauge Theories (2007) (35)
Information and dynamical systems: a concrete measurement on sporadic dynamics (2002) (34)
Periodic bounce trajectories with a low number of bounce points (1989) (31)
Spinning Q-Balls for the Klein-Gordon-Maxwell Equations (2010) (31)
Ultrafunctions and Generalized Solutions (2012) (30)
Solitary Waves with Non-Vanishing Angular Momentum (2003) (29)
On a filtration problem through a porous medium (1974) (29)
On the existence of stable charged Q-balls (2010) (29)
Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations (2009) (28)
Hylomorphic solitons (2009) (28)
An Euclidean measure of size for mathematical universes (2007) (27)
Solitons in Schrödinger-Maxwell equations (2014) (27)
Does bifurcation from the essential spectrum occur (1981) (26)
Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (2014) (25)
Periodic Trajectories for the Lorentz-Metric of a Static Gravitational Field (1990) (25)
Solutions in Exterior Domains of Null Mass Nonlinear Field Equations (2006) (25)
Homoclinic orbits on compact manifolds (1991) (25)
Periodic solutions of asymptotically linear dynamical systems (1994) (25)
Solitary waves: physical aspects and mathematical results. (2004) (23)
An algebraic approach to nonstandard analysis (2000) (23)
Existence of geodesics for the Lorentz metric of a stationary gravitational field (1990) (23)
A New Variational Principle for the Fundamental Equations of Classical Physics (1998) (22)
Three dimensional vortices in Abelian Gauge Theories (2007) (22)
from the disk into the euclidean n-sphere (1985) (21)
Hylomorphic solitons and charged Q-balls: Existence and stability (2012) (21)
Remarks on topological solitons (1996) (21)
A remark on the nodal regions of the solutions of some superlinear elliptic equations (1989) (21)
Ultrafunctions and Applications (2014) (21)
Variational and Topological Methods in the Study of Nonlinear Phenomena (2012) (20)
Solitary waves in the nolinear wave equation and in gauge theories (2007) (19)
Morse theory for symmetric functionals on the sphere and an application to a bifurcation problem (1985) (18)
The nonlinear Schroedinger equation: Solitons dynamics (2008) (18)
Data compression and genomes: a two-dimensional life domain map. (2008) (18)
A purely algebraic characterization of the hyperreal numbers (2005) (18)
Solitary waves in classical field theory (2004) (18)
Positive Solutions of Some Eigenvalue Problems in the Theory of Variational Inequalities (1977) (17)
A non-archimedean algebra and the Schwartz impossibility theorem (2014) (17)
On the geodesic connectedeness of Lorentzian manifolds (1994) (17)
A model problem for ultrafunctions (2012) (16)
Three Dimensional Vortices in the Nonlinear Wave Equation (2009) (16)
Morse theory for $C^1$-functions and Conley blocks (1994) (16)
A “Birkhoff-Lewis” type result for a class of Hamiltonian systems (1987) (15)
Hylomorphic solitons on lattices (2010) (15)
A minimization method and applications to the study of solitons (2011) (15)
An elementary approach to Stochastic Differential Equations using the infinitesimals (2008) (15)
Elementary numerosity and measures (2012) (15)
Basic properties of ultrafunctions (2013) (15)
Geodesics on static Lorentz manifolds with convex boundary (1992) (14)
A Morse index for geodesics in static Lorentz manifolds (1992) (14)
Estimate of the Number of Periodic Solutions via the Twist Number (1997) (14)
Generalized functions beyond distributions (2014) (14)
Periodic Solutions of Hamiltonian Systems of Prescribed Period. (1983) (13)
On the Dynamics of Solitons in the Nonlinear Schrödinger Equation (2011) (13)
Some properties of the spectral flow in Semiriemannian geometry (1998) (13)
Determinism, Holism, and Complexity (2010) (12)
A ring homomorphism is enough to get nonstandard analysis (2003) (12)
A REMARK ON A PRIORI BOUNDS AND EXISTENCE FOR PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS (1987) (11)
Information, complexity and entropy: a new approach to theory and measurement methods (2001) (11)
The Direct Method in the Study of Periodic Solutions of Hamiltonian Systems with Prescribed Period (1983) (11)
Existence, multiplicity and concentration of bound states for a quasilinear elliptic field equation (2001) (10)
Solitons and Relativistic Dynamics (2000) (10)
Solitary Waves and Vortices in Non-Abelian Gauge Theories with Matter (2011) (10)
Quantum Phenomena in a Classical Model (1999) (10)
Existence of 3D-Vortices in Abelian Gauge Theories (2006) (10)
A strongly degenerate elliptic equation arising from the semilinear Maxwell equations (2004) (9)
Solitons and Bohmian mechanics (2002) (9)
Existence of solitons in the nonlinear beam equation (2011) (9)
On a discreteness condition of the spectrum of Schrödinger operators with unbounded potential from below (1978) (8)
Hamiltonian formulation of the Klein-Gordon-Maxwell equations (2011) (8)
Existence of Torsional Solitons in a Beam Model of Suspension Bridge (2016) (8)
Semiclassical limit for a quasilinear elliptic field equation: one-peak and multipeak solutions (2001) (8)
Su un problema di autovalori per disequazioni variazionali (1975) (7)
Some nonlinear elliptic problems with asymptotic conditions (1979) (7)
On asymptotically quadratic Hamiltonian systems (1983) (7)
A priori bounds for periodic solutions of a class of Hamiltonian systems (1988) (7)
A Unitarian Approach to Classical Electrodynamics: The Semilinear Maxwell Equations (2005) (7)
On the Morse inequalities for geodesics on Lorentzian manifolds (2003) (7)
Some Remarks on the Semilinear Wave Equation (2003) (7)
A generalization of Gauss' divergence theorem (2014) (6)
Infinitesimal and infinite numbers as an approach to quantum mechanics (2019) (6)
Generalized solutions in PDE's and the Burgers' equation (2016) (6)
Solitary waves and Bohmian mechanics (2002) (6)
Morse Theory for functionals of class C^1 (1992) (6)
A "birkhoff-lewis" type result for non autonomous differential equations (1988) (6)
The Euclidean numbers (2017) (6)
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint (2020) (6)
On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation (2012) (6)
Some applications of numerosities in measure theory (2014) (6)
Periodic Solutions of Dissipative Dynamical Systems (1990) (6)
Hausdorff Nonstandard Extensions - doi: 10.5269/bspm.v20i1-2.7519 (2009) (5)
Periodic solutions of a class of Hamiltonian systems (1982) (5)
Generalized solutions of variational problems and applications (2018) (5)
Hylomorphic Vortices in Abelian Gauge Theories (2009) (5)
A generalization of the Conley-index theory (1986) (5)
Axioms for non-Archimedean probability (NAP) (2012) (4)
Stability and instability in evolution. (1998) (4)
The algorithmic numbers in non-archimedean numerical computing environments (2021) (4)
Multiple solutions for the Van der Waals–Allen–Cahn–Hilliard equation with a volume constraint (2019) (4)
The Caccioppoli ultrafunctions (2017) (3)
Matter and electromagnetic fields: remarks on the dualistic and unitarian standpoints (2005) (3)
Non–Standard Analysis Revisited: An Easy Axiomatic Presentation Oriented Towards Numerical Applications (2022) (3)
Periodic orbits of a one-dimensional non-autonomous Hamiltonian system (2006) (3)
The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons (2010) (3)
Some Applications of the Morse-Conley Theory to the Study of Periodic Solutions of Second Order Conservative Systems (1987) (3)
Spectral properties of some differential and pseudodifferential operators. Applications to some quark models (1981) (3)
The General Principles (2014) (3)
Stability properties for solitary waves in 3 space dimensions (1996) (3)
Exponential decay and regularity properties of the Hartree approximation to the bound state wavefunctions of the helium atom (1976) (3)
A topological approach to non-Archimedean Mathematics (2014) (3)
Maximal Poincaré polynomials and minimal Morse functions (2001) (2)
On the existence of geodesics in static Lorentz manifolds with singular boundary (2012) (2)
Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations (2016) (2)
Index theory and stability of periodic solutions of Lagrangian systems (1992) (2)
A variational problem for manifold valued functions (2000) (2)
About emergent properties and complexity in biological theories. (2004) (2)
The Nonlinear Klein-Gordon Equation (2014) (2)
Some Remarks on the Theory of Relativity and the Naïve Realism (2002) (2)
Some Remarks on the Definition of Boltzmann, Shannon and Kolmogorov Entropy (2005) (2)
On the Existence of Stable Isolated Ecosystems outside the Earth (1997) (1)
Rotation numbers for Lagrangian systems and Morse theory (1996) (1)
How to Measure the Infinite: Numerosities and Nonstandard Analysis (2019) (1)
An Improved Setting for Generalized Functions: Fine Ultrafunctions (2021) (1)
The Nonlinear Klein-Gordon-Maxwell Equations (2014) (1)
Non-Archimedean Mathematics and the formalism of Quantum Mechanics (2018) (1)
On the spectrum of some differential and pseudodifferential operators (1979) (1)
The Euclidean Universe (2021) (1)
Optimal information measures for weakly chaotic dynamical systems (2005) (1)
Hylomorphic solitons for the generalized KdV equation (2014) (1)
Solitons in Schr\"odinger-Maxwell equations (2013) (1)
Euclidean numbers and numerosities (2021) (1)
The Nonlinear Schrödinger-Maxwell Equations (2014) (1)
Some Remarks on the Arrow of Time and the Notion of Information (2003) (1)
Generalized functions beyond distributions (2014) (0)
A non-archimedean algebra and the Schwartz impossibility theorem (2014) (0)
On Perturbations of Z sub 2 Symmetric Functionals. (1987) (0)
Towards a Morse theory on Banach spaces via ultrafunctions (2015) (0)
The Nonlinear Beam Equation (2014) (0)
Neboǰsa MUDRINSKI THE LARGEST HIGHER COMMUTATOR SEQUENCE (2019) (0)
Solitary Waves and Solitons: Abstract Theory (2014) (0)
Existence of positive solutions of the equation $-Delta u+a(x)u=usp {(N+2)/(N-2)}$ in $Rsp N$ (1990) (0)
Existence of solitons in the nonlinear beam equation (2012) (0)
Matter and electromagnetic fields: remarks on the dualistic and unitarian point of view (2005) (0)
The Nonlinear Schrödinger Equation (2014) (0)
Future Directions for Logic (2012) (0)
Some results on the existenceof geodesics in static Lorentz manifolds with nonsmooth boundary (1991) (0)
A Model for the Maxwell Equations Coupled with Matter Based on Solitons (2021) (0)
On a second order boundary value problem with singular nonlinearity (2006) (0)
Preface: Applications of mathematical analysis to problems in theoretical physics (2021) (0)
Computable Information Content and a Simple Application to the Study of DNA (2003) (0)
A classical model for the Maxwell equations coupled with matter (2020) (0)
An abstract theorem on the existence of hylomorphic solitons (2011) (0)
Why is the Gravitational Mass Equal to the Inertial Mass (2000) (0)
Tempered ultrafunctions (2015) (0)
O ct 2 00 2 Dynamical systems and computable information (0)
Solitons in Schrödinger-Maxwell equations (2014) (0)
Abstracts of the talks (2017) (0)
The Arrow of Time and Information Theory (2014) (0)
On the Dynamics of Solitons in the Nonlinear Schrödinger Equation (2012) (0)
Multiple solutions for the Van der Waals–Allen–Cahn–Hilliard equation with a volume constraint (2020) (0)
Computable Information Content and Boolean Networks Dynamics (2005) (0)
Existence of Torsional Solitons in a Beam Model of Suspension Bridge (2017) (0)
An Euclidean Measure of Size for Mathematical (2007) (0)
A “Birkhoff-Lewis” Type Result for Nonautonomous Hamiltonian Systems (1987) (0)

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What Schools Are Affiliated With Vieri Benci?

Vieri Benci is affiliated with the following schools: