Fabio Giannoni

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All published works

Action	Title	Year	Authors
+	On the relative category in the brake orbits problem	2023	Dario Corona Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics	2022	Dario Corona Fabio Giannoni
+	Brake orbits for Hamiltonian systems of classical type via Finsler geodesics	2021	Dario Corona Fabio Giannoni
+ PDF Chat	Connecting and Closed Geodesics of a Kropina Metric	2021	Erasmo Caponio Fabio Giannoni Antonio Masiello Stefan Suhr
+	Brake orbits for Hamiltonian systems of classical type via Finsler geodesics	2021	Dario Corona Fabio Giannoni
+ PDF Chat	A New Approach for Euler-Lagrange Orbits on Compact Manifolds with Boundary	2020	Dario Corona Fabio Giannoni
+	Multiple orthogonal geodesic chords and a proof of Seifert's conjecture on brake orbits	2020	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Multiple orthogonal geodesic chords and a proof of Seifert's conjecture on brake orbits	2020	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	Stability and distributed control of degenerate diffusion equations	2019	Andrea Cristofaro Roberto Giambò Fabio Giannoni
+ PDF Chat	Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles	2018	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles	2018	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Lyapunov Stability Results for the Parabolic p-Laplace Equation	2018	Andrea Cristofaro Roberto Giambò Fabio Giannoni
+	Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles	2018	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	A finite dimensional approach to light rays in General Relativity	2017	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Functions on the sphere with critical points in pairs and orthogonal geodesic chords	2016	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	On the normal exponential map in singular conformal metrics	2015	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	Multiple brake orbits in $$m$$ m -dimensional disks	2015	Roberto Giambò Fabio Giannoni Paolo Piccione
+	On the normal exponential map in singular conformal metrics	2015	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Functions on the sphere with critical points in pairs and orthogonal geodesic chords	2015	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Multiple brake orbits in $\mathbf m$-dimensional disks	2015	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Multiplicity results for orthogonal geodesic chords and applications	2014	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Examples with minimal number of brake orbits and homoclinics in annular potential regions	2014	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Morse Theory for geodesics in singular conformal metrics	2014	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	Morse Theory for geodesics in singular conformal metrics	2014	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert	2012	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Multiple Brake Orbits and Homoclinics in Riemannian Manifolds	2010	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the -dimensional disk	2010	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Sharp estimates on the region of attraction of planar linear systems with bounded controls	2009	M.L. Corradini Andrea Cristofaro Fabio Giannoni
+ PDF Chat	On the Multiplicity of Orthogonal Geodesics in Riemannian Manifold With Concave Boundary. Applications to Brake Orbits and Homoclinics	2009	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Functional regularity properties for light rays in general relativity	2009	Roberto Giambò Fabio Giannoni Antonio Masiello
+	Genericity of Nondegeneracy for Light Rays in Stationary Spacetimes	2009	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	The dynamical behavior of homogeneous scalar-field spacetimes with general self-interaction potentials	2008	Roberto Giambò Fabio Giannoni Giulio Magli
+ PDF Chat	Genericity of black hole formation in the gravitational collapse of homogeneous self-interacting scalar fields	2008	Roberto Giambò Fabio Giannoni Giulio Magli
+	Dynamics of homogeneous scalar fields with general self-interaction potentials: cosmological and gravitational collapse models	2007	Roberto Giamb� Fabio Giannoni Giulio Magli
+	A variational approach to homogeneous scalar fields in General Relativity	2006	Roberto Giambò Fabio Giannoni Giulio Magli
+ PDF Chat	Orthogonal geodesic chords, brake orbits and homoclinic orbits in Riemannian manifolds	2005	Roberto Giambò Fabio Giannoni Paolo Piccione
+	On the multiplicity of brake orbits and homoclinics in Riemannian manifolds	2005	Roberto Giambò Fabio Giannoni Paolo Piccione
+	On the multiplicity of brake orbits and homoclinics in Riemannian manifolds	2005	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	Naked Singularities Formation in the Gravitational Collapse of Barotropic Spherical Fluids	2004	Roberto Giambò Fabio Giannoni Giulio Magli Paolo Piccione
+	Optimal Control on Riemannian Manifolds by Interpolation	2004	Roberto Giamb� Fabio Giannoni Paolo Piccione
+	Comment on "Spherically symmetric perfect fluid in area-radial coordinates" by Iguchi et al	2004	Roberto Giambò Fabio Giannoni Giulio Magli Paolo Piccione
+	Orthogonal Geodesic Chords, Brake Orbits and Homoclinic Orbits in Riemannian Manifolds	2004	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Gravitational lensing in general relativity via bifurcation theory	2003	Roberto Giambò Fabio Giannoni Paolo Piccione
+ PDF Chat	Morse theory for normal geodesics in sub-Riemannian manifolds with codimension one distributions	2003	Roberto Giambò Fabio Giannoni Paolo Piccione Daniel V. Tausk
+ PDF Chat	New Solutions of Einstein Equations in Spherical Symmetry: The Cosmic Censor to the Court	2003	Roberto Giambò Fabio Giannoni Giulio Magli Paolo Piccione
+	MINIMAL GEODESICS ON MANIFOLDS WITH DISCONTINUOUS METRICS	2003	Roberto Giambò Fabio Giannoni
+ PDF Chat	New mathematical framework for spherical gravitational collapse	2003	Roberto Giambò Fabio Giannoni Giulio Magli Paolo Piccione
+	Global variational methods on smooth nonholonomic constraints	2002	Roberto Giambò Fabio Giannoni
+ PDF Chat	Sufficient condition for black-hole formation in spherical gravitational collapse	2002	Roberto Giamb� Fabio Giannoni Giulio Magli
+ PDF Chat	The Fermat principle in general relativity and applications	2002	Fabio Giannoni Antonio Masiello Paolo Piccione
+ PDF Chat	Morse theory for the travel time brachistochrones in stationary spacetimes	2002	Fabio Giannoni Paolo Piccione Daniel V. Tausk
+	Existence, Multiplicity, and Regularity for sub-Riemannian Geodesics by Variational Methods	2002	Roberto Giambò Fabio Giannoni Paolo Piccione
+	Variational and Topological Methods in the Study of Nonlinear Phenomena - Progress in Nonlinear differential equations and their applications	2002	Benci Giovanna Cerami Marco Degiovanni Donato Fortunato Fabio Giannoni Anna Maria Micheletti
+	Multiple brake orbits in a potential well and a Seifert conjecture	2001	Fabio Giannoni
+	On the Finiteness of Light Rays Between a Source and an Observer on Conformally Stationary Space-Times	2001	Fabio Giannoni Antonio Masiello Paolo Piccione
+ PDF Chat	A generalized index theorem for Morse–Sturm systems and applications to semi-Riemannian geometry	2001	Fabio Giannoni Antonio Masiello Paolo Piccione Daniel V. Tausk
+	On the Geodesical Connectedness for a Class of Semi-Riemannian Manifolds	2000	Fabio Giannoni Paolo Piccione Rosella Sampalmieri
+ PDF Chat	A Morse theory for massive particles and photons in general relativity	2000	Fabio Giannoni Antonio Masiello Paolo Piccione
+	On the problem of the existence for connecting trajectories under the action of gravitational and electromagnetic fields	2000	Flavia Antonacci Fabio Giannoni Paola Magrone
+ PDF Chat	A variational problem for manifold valued functions	2000	Vieri Benci Fabio Giannoni Paolo Piccione
+	Global variational methods in general relativity with applications to gravitational lensing	1999	Fabio Giannoni
+	Existence and multiplicity results for massive particles trajectories in a universe with boundary	1999	Anna Germinario Fabio Giannoni
+	Multiple Critical Points for Indefinite Functionals and Applications	1999	Anna María Candela Fabio Giannoni Antonio Masiello
+	A Generalized Index Theorem for Morse-Sturm Systems and Applications to semi-Riemannian Geometry	1999	Fabio Giannoni Antonio Masiello Paolo Piccione Daniel V. Tausk
+	Convexity and the finiteness of the number of geodesics. Applications to the multiple-image effect	1999	Fabio Giannoni Antonio Masiello Paolo Piccione
+ PDF Chat	An intrinsic approach to the geodesical connectedness of stationary Lorentzian manifolds	1999	Fabio Giannoni Paolo Piccione
+	The Fermat Principle in General Relativity and Applications	1999	Fabio Giannoni Antonio Masiello Paolo Piccione
+	Morse Theory for the Travel Time Brachistochrones in Stationary Spacetimes	1999	Fabio Giannoni Paolo Piccione Daniel V. Tausk
+	Time minimizing trajectories in Lorentzian geometry	1999	Fabio Giannoni Volker Perlick Paolo Piccione José A. Verderesi
+ PDF Chat	On a Fermat principle in general relativity. A Ljusternik-Schnirelmann theory for light rays	1998	Fabio Giannoni Antonio Masiello
+	Some properties of the spectral flow in semiriemannian geometry	1998	Vieri Benci Fabio Giannoni Antonio Masiello
+	A timelike extension of Fermat's principle in general relativity and applications	1998	Fabio Giannoni Antonio Masiello Paolo Piccione
+	A Morse theory for light rays on stably causal lorentzian manifolds	1998	Fabio Giannoni Antonio Masiello Paolo Piccione
+	Time minimizing trajectories in Lorentzian geometry: the general-relativistic brachistochrone problem	1998	Fabio Giannoni Volker Perlick Paolo Piccione José A. Verderesi
+	A timelike extension of fermat's principle in general relativity. Comparisons with the lightlike case	1997	Fabio Giannoni
+	An approach to the relativistic brachistochrone problem by sub-Riemannian geometry	1997	Fabio Giannoni Paolo Piccione José A. Verderesi
+ PDF Chat	Morse theory for Riemannian geodesics without nondegeneracy assumptions	1997	Anna Germinario Fabio Giannoni
+	On the effect of the domain on the number of orthogonal geodesic chords	1997	Fabio Giannoni Pietro Majer
+	A Variational Theory for Light Rays in Stably Causal Lorentzian Manifolds: Regularity and Multiplicity Results	1997	Fabio Giannoni Antonio Masiello Paolo Piccione
+	A variational theory for hight rays on Lorentz manifolds	1997	Fabio Giannoni Antonio Masiello Paolo Piccione
+	On a Fermat principle in general relativity. A Morse theory for light rays	1996	Fabio Giannoni Antonio Masiello
+	A bifurcation problem with two-dimensional kernel via singularity theory	1996	Fabio Giannoni Anna Maria Micheletti
+ PDF Chat	Morse relations for geodesics on stationary Lorentzian manifolds with boundary	1995	Fabio Giannoni Antonio Masiello
+ PDF Chat	Geodesics on product Lorentzian manifolds	1995	Fabio Giannoni Antonio Masiello
+ PDF Chat	Brake periodic orbits of prescribed Hamiltonian for indefinite Lagrangian systems	1995	B. Buffoni Fabio Giannoni
+	Homoclinic orbits on Non-compact Riemannian manifolds for second order Hamiltonian systems	1995	Fabio Giannoni Louis Jeanjean Kazunaga Tanaka
+	On a variational theory of light rays on Lorentizian manifolds	1995	Fabio Giannoni Antonio Masiello
+ PDF Chat	Morse theory for $C^1$-functions and Conley blocks	1994	Vieri Benci Fabio Giannoni
+	Some results on lightlike geodesics on stationary lorentzian manifolds	1994	Donato Fortunato Fabio Giannoni Antonio Masiello
+ PDF Chat	Geodesics on nonstatic Lorentz manifolds of Reissner-Nordstrom type	1994	Fabio Giannoni
+	On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems	1994	Fabio Giannoni Paul H. Rabinowitz
+	On the existence of homoclinic orbits on Riemannian manifolds	1994	Fabio Giannoni
+	Geodesics on lorentzian manifolds with quasi-convex boundary	1993	Fabio Giannoni Antonio Masiello
+ PDF Chat	Multiplicity of principal bounce trajectories with prescribed minimal period on Riemannian manifolds	1993	Fabio Giannoni
+	On the existence of closed geodesics on noncompact Riemannian manifolds	1992	Vieri Benci Fabio Giannoni
+	On the existence of geodesics in static Lorentz manifolds with singular boundary	1992	Vieri Benci Donato Fortunato Fabio Giannoni
+	Morse Theory for functionals of class C^1	1992	Vieri Benci Fabio Giannoni
+	Geodesics on static Lorentz manifolds with convex boundary	1992	Vieri Benci Donato Fortunato Fabio Giannoni
+ PDF Chat	Bounce trajectories with one Bounce point	1991	Fabio Giannoni
+ PDF Chat	On the number of solutions of some ordinary periodic boundary value problems by their geometrical properties	1991	Fabio Giannoni Anna Maria Micheletti
+	On the existence of geodesics on stationary Lorentz manifolds with convex boundary	1991	Fabio Giannoni Antonio Masiello
+	Homoclinic orbits on compact manifolds	1991	Vieri Benci Fabio Giannoni
+	Geodesics on non static Lorentz manifolds of Reissner-Nordstr�m type	1991	Fabio Giannoni
+	Some results on the existenceof geodesics in static Lorentz manifolds with nonsmooth boundary	1991	Vieri Benci Donato Fortunato Fabio Giannoni
+	Periodic bounce solutions of dynamical conservative systems and their minimal period	1990	Fabio Giannoni
+	Periodic solutions of prescribed energy for a class of Hamiltonian systems with singular potentials	1989	Vieri Benci Fabio Giannoni
+	Periodic solutions of dynamical systems by a saddle point theorem of Rabinowitz	1989	Fabio Giannoni
+	Multiplicity of solutions for elliptic inequalities in presence of symmetries	1989	Fabio Giannoni
+	Some remarks about multiplicity results for some semilinear elliptic problems by singularity theory	1988	Fabio Giannoni Anna Maria Micheletti
+	Periodic Solutions of Dynamical Systems with Newtonian Type Potentials	1987	Marco Degiovanni Antonio Marino Fabio Giannoni
+	Periodic solutions with bounce of Hamiltonian problems andtheir minimal period	1987	Fabio Giannoni

Common Coauthors

Coauthor	Papers Together
Paolo Piccione	53
Roberto Giambò	41
Antonio Masiello	23
Vieri Benci	10
Giulio Magli	9
Dario Corona	5
Donato Fortunato	5
Daniel V. Tausk	5
Anna Maria Micheletti	4
José A. Verderesi	3
Roberto Giamb�	3
Marco Degiovanni	2
Anna Germinario	2
Andrea Cristofaro	2
Volker Perlick	2
Benci	1
Giovanna Cerami	1
Rosella Sampalmieri	1
Andrea Cristofaro	1
Flavia Antonacci	1
Erasmo Caponio	1
M.L. Corradini	1
Kazunaga Tanaka	1
Antonio Marino	1
Paola Magrone	1
Anna María Candela	1
Pietro Majer	1
Stefan Suhr	1
Louis Jeanjean	1
Paul H. Rabinowitz	1
B. Buffoni	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Global Lorentzian Geometry	2017	John K. Beem Paul E. Ehrlich Kevin L. Easley	16
+	Multiple brake orbits in bounded convex symmetric domains	2005	Yiming Long Duanzhi Zhang Chaofeng Zhu	15
+ PDF Chat	Closed Characteristics on Compact Convex Hypersurfaces in R 2n	2002	Yiming Long Chaofeng Zhu	15
+ PDF Chat	Orthogonal geodesic chords, brake orbits and homoclinic orbits in Riemannian manifolds	2005	Roberto Giambò Fabio Giannoni Paolo Piccione	15
+	Variational methods in Lorentzian geometry	2017	Antonio Masiello	14
+	Morse theory on Hilbert manifolds	1963	Richard S. Palais	13
+	The Large Scale Structure of Space-Time	1973	S. W. Hawking George Ellis	13
+ PDF Chat	Nonlinear Functional Analysis	1970	Felix E. Browder	13
+	Nonlinear Functional Analysis	1969	Jacob T. Schwartz	12
+	SEMI-RIEMANNIAN GEOMETRY With Applications to Relativity	1984	M. A. H. MacCallum	12
+	On Fermat's principle in general relativity. I. The general case	1990	Volker Perlick	12
+	A Morse theory for geodesics on a Lorentz manifold	1975	Karen Uhlenbeck	12
+	A Variational Theory for Light Rays in Stably Causal Lorentzian Manifolds: Regularity and Multiplicity Results	1997	Fabio Giannoni Antonio Masiello Paolo Piccione	11
+	Critical Point Theory and Applications to Differential Equations: A Survey	1995	Paul H. Rabinowitz	11
+	Multiple Brake Orbits and Homoclinics in Riemannian Manifolds	2010	Roberto Giambò Fabio Giannoni Paolo Piccione	11
+	Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications	2013	Hui Liu Yiming Long	11
+ PDF Chat	Seifert Conjecture in the Even Convex Case	2014	Chungen Lıu Duanzhi Zhang	11
+	A Morse theory for light rays on stably causal lorentzian manifolds	1998	Fabio Giannoni Antonio Masiello Paolo Piccione	11
+	11. The Imbedding Problem for Riemannian Manifolds	2002	JohnHG Nash	10
+ PDF Chat	Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the -dimensional disk	2010	Roberto Giambò Fabio Giannoni Paolo Piccione	10
+	The Imbedding Problem for Riemannian Manifolds	1956	John C. Nash	10
+	On the existence of geodesics on stationary Lorentz manifolds with convex boundary	1991	Fabio Giannoni Antonio Masiello	10
+	Foundations of global non-linear analysis	1968	Richard S. Palais	10
+	Multiple brake orbits on compact convex symmetric reversible hypersurfaces in $ R^{2 n} $	2013	Duanzhi Zhang Chungen Lıu	10
+	Multiplicity of brake orbits on compact convex symmetric reversible hypersurfaces in <b>R</b> <sup>2<i>n</i> </sup> for <i>n</i> ⩾4	2013	Duanzhi Zhang Chungen Lıu	9
+ PDF Chat	Multiple Solutions of the Forced Double Pendulum Equation	1989	G. Fournier Michel Willem	8
+ PDF Chat	Multiplicity of principal bounce trajectories with prescribed minimal period on Riemannian manifolds	1993	Fabio Giannoni	8
+	Examples with minimal number of brake orbits and homoclinics in annular potential regions	2014	Roberto Giambò Fabio Giannoni Paolo Piccione	8
+	Kritische Sehnen auf Riemannschen Elementarraumst�cken	1963	Werner Bos	7
+	Relative cohomological index theories	1987	Edward Fadell Sufian Y. Husseini	7
+	Homotopy theory of infinite dimensional manifolds	1966	Richard S. Palais	7
+	Brake type closed characteristics on reversible compact convex hypersurfaces in	2011	Duanzhi Zhang	7
+	On the Existence of Infinitely Many Geodesics on Space-Time Manifolds	1994	Vieri Benci Donato Fortunato	6
+	Riemannian geometry	1992	Manfredo do Carmo	6
+	A timelike extension of Fermat's principle in general relativity and applications	1998	Fabio Giannoni Antonio Masiello Paolo Piccione	6
+ PDF Chat	A Morse theory for massive particles and photons in general relativity	2000	Fabio Giannoni Antonio Masiello Paolo Piccione	6
+	Differential Manifolds	1985	Serge Lang	6
+	Periodic Orbits for Convex Hamiltonian Systems	1978	A. J. Weinstein	5
+	An index theory and existence of multiple brake orbits for star-shaped Hamiltonian systems	1989	Andrzej Szulkin	5
+	Critical point theory and the minimax principle	1970	Richard S. Palais	5
+ PDF Chat	An intrinsic approach to the geodesical connectedness of stationary Lorentzian manifolds	1999	Fabio Giannoni Paolo Piccione	5
+	Lusternik-Schnirelman theory on Banach manifolds	1966	Richard S. Palais	5
+ PDF Chat	On a Fermat principle in general relativity. A Ljusternik-Schnirelmann theory for light rays	1998	Fabio Giannoni Antonio Masiello	5
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	5
+	On the existence of geodesics in static Lorentz manifolds with singular boundary	1992	Vieri Benci Donato Fortunato Fabio Giannoni	5
+ PDF Chat	A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry	1999	Paolo Piccione Daniel V. Tausk	5
+	An approach to the relativistic brachistochrone problem by sub-Riemannian geometry	1997	Fabio Giannoni Paolo Piccione José A. Verderesi	5
+	A Fermat Principle on Lorentzian manifolds and applications	1996	Flavia Antonacci Paolo Piccione	5
+ PDF Chat	Multiplicity of closed characteristics on symmetric convex hypersurfaces in $\mathbb{R}^{2n}$	2002	Chungen Lıu Yiming Long Chaofeng Zhu	5
+ PDF Chat	Morse Theory for geodesics in singular conformal metrics	2014	Roberto Giambò Fabio Giannoni Paolo Piccione	5