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Arioli, Gianni

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Author ID: arioli.gianni Recent zbMATH articles by "Arioli, Gianni"
Published as: Arioli, G.; Arioli, Gianni
Documents Indexed: 45 Publications since 1995

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 537 times in 388 Documents Cited by Year
A semilinear Schrödinger equation in the presence of a magnetic field. Zbl 1051.35082
Arioli, Gianni; Szulkin, Andrzej
76
2003
A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
44
2005
Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation. Zbl 1231.35016
Arioli, Gianni; Koch, Hans
31
2010
Periodic motions of an infinite lattice of particles with nearest neighbor interaction. Zbl 0867.70004
Arioli, G.; Gazzola, F.
31
1996
Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation. Zbl 1304.35181
Arioli, Gianni; Koch, Hans
25
2015
Homoclinic solutions of Hamiltonian systems with symmetry. Zbl 0944.37030
Arioli, Gianni; Szulkin, Andrzej
24
1999
Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174
Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A.
23
2011
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
22
2010
Some results on \(p\)-Laplace equations with a critical growth term. Zbl 1131.35325
Arioli, Gianni; Gazzola, Filippo
20
1998
Multibump periodic motions of an infinite lattice of particles. Zbl 0871.34028
Arioli, G.; Gazzola, F.; Terracini, S.
19
1996
A homoclinic solution for excitation waves on a contractile substratum. Zbl 1260.34080
Ambrosi, D.; Arioli, G.; Koch, H.
17
2012
Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph
17
2006
Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level. Zbl 1018.37006
Arioli, Gianni; Zgliczyński, Piotr
17
2001
Non-symmetric low-index solutions for a symmetric boundary value problem. Zbl 1232.35047
Arioli, Gianni; Koch, Hans
15
2012
A new branch of mountain pass solutions for the choreographical 3-body problem. Zbl 1118.70008
Arioli, Gianni; Barutello, Vivina; Terracini, Susanna
13
2006
Existence and numerical approximation of periodic motions of an infinite lattice of particles. Zbl 0838.34046
Arioli, G.; Gazzola, F.
13
1995
Two novel methods and multi-mode periodic solutions for the Fermi-Pasta-Ulam model. Zbl 1076.70008
Arioli, Gianni; Koch, Hans; Terracini, Susanna
11
2005
Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem. Zbl 1016.70007
Arioli, Gianni
11
2002
Minimization properties of Hill’s orbits and applications to some \(N\)-body problems. Zbl 0977.70006
Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna
8
2000
The critical renormalization fixed point for commuting pairs of area-preserving maps. Zbl 1196.37074
Arioli, Gianni; Koch, Hans
7
2010
Multibump solutions and critical groups. Zbl 1175.37066
Arioli, Gianni; Szulkin, Andrzej; Zou, Wenming
7
2009
The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. Zbl 1143.35329
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo
7
2008
Long term dynamics of a reaction–diffusion system. Zbl 1116.35014
Arioli, Gianni
7
2007
Periodic motions of an infinite lattice of particles: the strongly indefinite case. Zbl 1100.37503
Arioli, Gianni; Szulkin, Andrzej
7
1998
On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065
Arioli, Gianni; Gazzola, Filippo
6
2015
Some symmetric boundary value problems and non-symmetric solutions. Zbl 1319.35056
Arioli, Gianni; Koch, Hans
6
2015
The Hénon-Heiles Hamiltonian near the critical energy level. Some rigorous results. Zbl 1040.37049
Arioli, Gianni; Zgliczyński, Piotr
6
2003
Homoclinic solutions for a class of systems of second order differential equations. Zbl 0857.34048
Arioli, G.; Szulkin, A.
6
1995
A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007
Arioli, Gianni; Gazzola, Filippo
5
2015
Branches of periodic orbits for the planar restricted 3-body problem. Zbl 1060.37070
Arioli, Gianni
5
2004
Quasilinear elliptic equations at critical growth. Zbl 0940.35088
Arioli, Gianni; Gazzola, Filippo
5
1998
Weak solutions of quasilinear elliptic PDE’s at resonance. Zbl 0920.35050
Arioli, Gianni; Gazzola, Filippo
5
1997
Families of periodic solutions for some Hamiltonian PDEs. Zbl 1370.35213
Arioli, Gianni; Koch, Hans
4
2017
Existence and multiplicity results for quasilinear elliptic differential systems. Zbl 0942.35068
Arioli, Gianni; Gazzola, Filippo
4
2000
On a quasilinear elliptic differential equation in unbounded domains. Zbl 0931.35048
Arioli, G.; Gazzola, F.
4
1998
Spectral stability for the wave equation with periodic forcing. Zbl 1402.35039
Arioli, Gianni; Koch, Hans
3
2018
Periodic motions of a dynamical system consisting of an infinite lattice of particles. Zbl 0889.34036
Arioli, G.; Chabrowski, J.
3
1997
Some breathers and multi-breathers for FPU-type chains. Zbl 07136926
Arioli, Gianni; Koch, Hans
1
2019
Non-radial solutions for some semilinear elliptic equations on the disk. Zbl 1404.35198
Arioli, Gianni; Koch, Hans
1
2019
Periodic solutions for a system of forced and nonlinearly coupled oscillators with applications to electrical circuits. Zbl 0823.34045
Arioli, G.; Ruf, B.
1
1995
Some breathers and multi-breathers for FPU-type chains. Zbl 07136926
Arioli, Gianni; Koch, Hans
1
2019
Non-radial solutions for some semilinear elliptic equations on the disk. Zbl 1404.35198
Arioli, Gianni; Koch, Hans
1
2019
Spectral stability for the wave equation with periodic forcing. Zbl 1402.35039
Arioli, Gianni; Koch, Hans
3
2018
Families of periodic solutions for some Hamiltonian PDEs. Zbl 1370.35213
Arioli, Gianni; Koch, Hans
4
2017
Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation. Zbl 1304.35181
Arioli, Gianni; Koch, Hans
25
2015
On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065
Arioli, Gianni; Gazzola, Filippo
6
2015
Some symmetric boundary value problems and non-symmetric solutions. Zbl 1319.35056
Arioli, Gianni; Koch, Hans
6
2015
A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007
Arioli, Gianni; Gazzola, Filippo
5
2015
A homoclinic solution for excitation waves on a contractile substratum. Zbl 1260.34080
Ambrosi, D.; Arioli, G.; Koch, H.
17
2012
Non-symmetric low-index solutions for a symmetric boundary value problem. Zbl 1232.35047
Arioli, Gianni; Koch, Hans
15
2012
Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174
Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A.
23
2011
Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation. Zbl 1231.35016
Arioli, Gianni; Koch, Hans
31
2010
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
22
2010
The critical renormalization fixed point for commuting pairs of area-preserving maps. Zbl 1196.37074
Arioli, Gianni; Koch, Hans
7
2010
Multibump solutions and critical groups. Zbl 1175.37066
Arioli, Gianni; Szulkin, Andrzej; Zou, Wenming
7
2009
The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. Zbl 1143.35329
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo
7
2008
Long term dynamics of a reaction–diffusion system. Zbl 1116.35014
Arioli, Gianni
7
2007
Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph
17
2006
A new branch of mountain pass solutions for the choreographical 3-body problem. Zbl 1118.70008
Arioli, Gianni; Barutello, Vivina; Terracini, Susanna
13
2006
A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
44
2005
Two novel methods and multi-mode periodic solutions for the Fermi-Pasta-Ulam model. Zbl 1076.70008
Arioli, Gianni; Koch, Hans; Terracini, Susanna
11
2005
Branches of periodic orbits for the planar restricted 3-body problem. Zbl 1060.37070
Arioli, Gianni
5
2004
A semilinear Schrödinger equation in the presence of a magnetic field. Zbl 1051.35082
Arioli, Gianni; Szulkin, Andrzej
76
2003
The Hénon-Heiles Hamiltonian near the critical energy level. Some rigorous results. Zbl 1040.37049
Arioli, Gianni; Zgliczyński, Piotr
6
2003
Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem. Zbl 1016.70007
Arioli, Gianni
11
2002
Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level. Zbl 1018.37006
Arioli, Gianni; Zgliczyński, Piotr
17
2001
Minimization properties of Hill’s orbits and applications to some \(N\)-body problems. Zbl 0977.70006
Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna
8
2000
Existence and multiplicity results for quasilinear elliptic differential systems. Zbl 0942.35068
Arioli, Gianni; Gazzola, Filippo
4
2000
Homoclinic solutions of Hamiltonian systems with symmetry. Zbl 0944.37030
Arioli, Gianni; Szulkin, Andrzej
24
1999
Some results on \(p\)-Laplace equations with a critical growth term. Zbl 1131.35325
Arioli, Gianni; Gazzola, Filippo
20
1998
Periodic motions of an infinite lattice of particles: the strongly indefinite case. Zbl 1100.37503
Arioli, Gianni; Szulkin, Andrzej
7
1998
Quasilinear elliptic equations at critical growth. Zbl 0940.35088
Arioli, Gianni; Gazzola, Filippo
5
1998
On a quasilinear elliptic differential equation in unbounded domains. Zbl 0931.35048
Arioli, G.; Gazzola, F.
4
1998
Weak solutions of quasilinear elliptic PDE’s at resonance. Zbl 0920.35050
Arioli, Gianni; Gazzola, Filippo
5
1997
Periodic motions of a dynamical system consisting of an infinite lattice of particles. Zbl 0889.34036
Arioli, G.; Chabrowski, J.
3
1997
Periodic motions of an infinite lattice of particles with nearest neighbor interaction. Zbl 0867.70004
Arioli, G.; Gazzola, F.
31
1996
Multibump periodic motions of an infinite lattice of particles. Zbl 0871.34028
Arioli, G.; Gazzola, F.; Terracini, S.
19
1996
Existence and numerical approximation of periodic motions of an infinite lattice of particles. Zbl 0838.34046
Arioli, G.; Gazzola, F.
13
1995
Homoclinic solutions for a class of systems of second order differential equations. Zbl 0857.34048
Arioli, G.; Szulkin, A.
6
1995
Periodic solutions for a system of forced and nonlinearly coupled oscillators with applications to electrical circuits. Zbl 0823.34045
Arioli, G.; Ruf, B.
1
1995
all top 5

Cited by 467 Authors

19 Arioli, Gianni
18 Gazzola, Filippo
16 James, J. D. Mireles
14 Lessard, Jean-Philippe
13 Squassina, Marco
10 Koch, Hans-Friedrich
10 Ma, Shiwang
9 Ding, Yanheng
9 Ferrero, Alberto
9 Terracini, Susanna
8 Ambrosio, Vincenzo
8 Zhou, Zhan
7 Zgliczyński, Piotr
6 de la Llave, Rafael
6 Guo, Zongming
6 Mireles-James, Jason D.
6 Quarteroni, Alfio M.
6 van den Berg, Jan Bouwe
6 Yang, Minbo
6 Zhang, Shiqing
5 Castelli, Roberto
5 Grunau, Hans-Christoph
5 Liang, Sihua
5 Tang, Zhongwei
5 Wang, Zhi-Qiang
4 Alves, Claudianor Oliveira
4 Berchio, Elvise
4 Capinski, Maciej J.
4 Chen, Guanwei
4 Cingolani, Silvia
4 Degiovanni, Marco
4 Deng, Chunhua
4 Lai, Baishun
4 Lin, Genghong
4 Miyagaki, Olimpio Hiroshi
4 Montenegro, Marcos
4 Pavarino, Luca Franco
4 Pinamonti, Andrea
4 Scacchi, Simone
4 Sun, Jijiang
4 Szulkin, Andrzej
4 Vecchi, Eugenio
4 Yu, Jian-She
3 Barutello, Vivina L.
3 Bonheure, Denis
3 Breden, Maxime
3 Carrião, Paulo Cesar
3 Chen, Peng
3 Chen, Ruipeng
3 Cowan, Craig
3 Dávila, Juan
3 Escudero, Carlos Arturo
3 Figueiredo, Giovany Malcher
3 Gameiro, Marcio F.
3 Ghoussoub, Nassif A.
3 Jeanjean, Louis
3 Ji, Chao
3 Jiao, Yujuan
3 Kepley, Shane
3 Ma, Ruyun
3 Nguyen, Hoai-Minh
3 Secchi, Simone
3 Tang, Xianhua
3 Teresi, Luciano
3 Van Schaftingen, Jean
3 Wan, FangShu
3 Wanner, Thomas
3 Warnault, Guillaume
3 Weth, Tobias
3 Zhang, Binlin
3 Zhang, Jihui
2 Ackermann, Nils
2 Agarwal, Ravi P.
2 Aouaoui, Sami
2 Barile, Sara
2 Calleja, Renato C.
2 Cassani, Daniele
2 Clapp, Mónica
2 Cyranka, Jacek
2 d’Avenia, Pietro
2 Dede, Luca
2 Ding, Jian
2 Farina, Alberto
2 Figueras, Jordi-Lluís
2 Fleurantin, Emmanuel
2 Flores, Isabel
2 Franzone, P. Colli
2 Fu, Shengmao
2 García-Azpeitia, Carlos
2 Ghergu, Marius
2 Göktepe, Serdar
2 Goubet, Olivier
2 Guerra, Ignacio A.
2 Karageorgis, Paschalis
2 Lee, Cheng
2 Liu, Chungen
2 Liu, Jiaquan
2 Liu, Wenbin
2 Manzoni, Andrea
2 Mitidieri, Enzo Luigi
...and 367 more Authors
all top 5

Cited in 119 Serials

43 Journal of Differential Equations
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Journal of Mathematical Analysis and Applications
14 SIAM Journal on Applied Dynamical Systems
8 Calculus of Variations and Partial Differential Equations
7 Archive for Rational Mechanics and Analysis
7 Physica D
7 NoDEA. Nonlinear Differential Equations and Applications
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Applied Mathematics and Computation
6 Applied Mathematics Letters
6 Journal of Dynamics and Differential Equations
6 Discrete and Continuous Dynamical Systems
6 Abstract and Applied Analysis
6 Communications in Contemporary Mathematics
6 Communications on Pure and Applied Analysis
5 Nonlinearity
5 Indagationes Mathematicae. New Series
5 Journal of Fixed Point Theory and Applications
5 Journal of Computational Dynamics
5 Advances in Nonlinear Analysis
4 Applicable Analysis
4 Communications in Mathematical Physics
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 Journal of Functional Analysis
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Communications in Nonlinear Science and Numerical Simulation
4 Advanced Nonlinear Studies
4 Science China. Mathematics
3 Computers & Mathematics with Applications
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Journal of Geometry and Physics
3 Manuscripta Mathematica
3 Applied Mathematical Modelling
3 Celestial Mechanics and Dynamical Astronomy
3 Potential Analysis
3 European Journal of Mechanics. A. Solids
2 Journal of Statistical Physics
2 Journal of Computational and Applied Mathematics
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Chinese Annals of Mathematics. Series B
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Communications in Partial Differential Equations
2 Journal of Elasticity
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Nonlinear Science
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Chaos
2 Acta Mathematica Sinica. English Series
2 Nonlinear Analysis. Real World Applications
2 Foundations of Computational Mathematics
2 Milan Journal of Mathematics
2 Boundary Value Problems
2 Complex Variables and Elliptic Equations
2 Journal of Theoretical Biology
2 Journal of Function Spaces
2 Journal of Elliptic and Parabolic Equations
1 Astrophysics and Space Science
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Engineering Mathematics
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Biosciences
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Collectanea Mathematica
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Studies in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Computational Mechanics
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 Sugaku Expositions
1 European Journal of Applied Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 SIAM Journal on Mathematical Analysis
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Set-Valued Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Bulletin des Sciences Mathématiques
1 Advances in Differential Equations
1 Nonlinear Dynamics
1 Discrete Dynamics in Nature and Society
1 Journal of the European Mathematical Society (JEMS)
...and 19 more Serials

Citations by Year