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Author ID: siconolfi.antonio Recent zbMATH articles by "Siconolfi, Antonio"
Published as: Siconolfi, Antonio; Siconolfi, A.

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 457 times in 302 Documents Cited by Year
Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation. Zbl 1061.58008
Fathi, Albert; Siconolfi, Antonio
82
2004
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092
Fathi, Albert; Siconolfi, Antonio
76
2005
A generalized dynamical approach to the large time behavior of solutions of Hamilton–Jacobi equations. Zbl 1109.49034
Davini, Andrea; Siconolfi, Antonio
51
2007
On smooth time functions. Zbl 1246.53095
Fathi, Albert; Siconolfi, Antonio
45
2012
Maximal subsolutions for a class of degenerate Hamilton-Jacobi problems. Zbl 0939.49019
Camilli, Fabio; Siconolfi, Antonio
21
1999
Exact and approximate correctors for stochastic Hamiltonians: The 1-dimensional case. Zbl 1191.37044
Davini, Andrea; Siconolfi, Antonio
17
2009
Hamilton-Jacobi equations with measurable dependence on the state variable. Zbl 1036.35052
Camilli, Fabio; Siconolfi, Antonio
16
2003
Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations. Zbl 1298.49043
Rao, Z.; Siconolfi, A.; Zidani, H.
14
2014
Metric techniques for convex stationary ergodic Hamiltonians. Zbl 1213.49036
Davini, Andrea; Siconolfi, Antonio
13
2011
Metric character of Hamilton-Jacobi equations. Zbl 1026.35027
Siconolfi, Antonio
12
2003
The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032
Ishii, Hitoshi; Siconolfi, Antonio
12
2020
A Lagrangian approach to weakly coupled Hamilton-Jacobi systems. Zbl 1343.35065
Mitake, H.; Siconolfi, A.; Tran, H. V.; Yamada, N.
11
2016
Time-dependent measurable Hamilton-Jacobi equations. Zbl 1082.35053
Camilli, Fabio; Siconolfi, Antonio
10
2005
Weak KAM theory topics in the stationary ergodic setting. Zbl 1271.37041
Davini, Andrea; Siconolfi, Antonio
9
2012
Random Lax-Oleinik semigroups for Hamilton-Jacobi systems. Zbl 1415.35088
Davini, Andrea; Siconolfi, Antonio; Zavidovique, Maxime
9
2018
Nonconvex degenerate Hamilton-Jacobi equations. Zbl 1058.35063
Camilli, Fabio; Siconolfi, Antonio
6
2002
A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics. Zbl 1116.37009
Siconolfi, Antonio; Terrone, Gabriele
5
2007
A first order Hamilton-Jacobi equation with singularity and the evolution of level sets. Zbl 0814.35012
Siconolfi, Antonio
4
1995
Effective Hamiltonian and homogenization of measurable eikonal equations. Zbl 1173.35014
Camilli, Fabio; Siconolfi, Antonio
4
2007
Global results for eikonal Hamilton-Jacobi equations on networks. Zbl 1377.35250
Siconolfi, Antonio; Sorrentino, Alfonso
4
2018
A new characterization of \(A_5\). Zbl 0369.20002
Machi, Antonio; Siconolfi, Antonio
4
1977
Cycle characterization of the Aubry set for weakly coupled Hamilton-Jacobi systems. Zbl 1415.35091
Ibrahim, H.; Siconolfi, A.; Zabad, S.
4
2018
A class of nowhere differentiable functions satisfying some concavity-type estimate. Zbl 1441.26003
Fujita, Y.; Hamamuki, N.; Siconolfi, A.; Yamaguchi, N.
4
2020
A metric proof of the converse Lyapunov theorem for semicontinuous multivalued dynamics. Zbl 1267.37012
Siconolfi, Antonio; Terrone, Gabriele
3
2012
Homogenization on arbitrary manifolds. Zbl 1315.35023
Contreras, Gonzalo; Iturriaga, Renato; Siconolfi, Antonio
3
2015
Discounted Hamilton-Jacobi equations on networks and asymptotic analysis. Zbl 1481.35125
Pozza, Marco; Siconolfi, Antonio
3
2021
Time-dependent Hamilton-Jacobi equations on networks. Zbl 1491.35123
Siconolfi, Antonio
3
2022
Semigroup approach for the approximation of a control problem with unbounded dynamics. Zbl 0799.49009
Loreti, P.; Siconolfi, A.
2
1993
Randomly perturbed dynamical systems and Aubry-Mather theory. Zbl 1183.37098
Camilli, Fabio; Cesaroni, Annalisa; Siconolfi, Antonio
2
2009
Discontinuous solutions of a Hamilton-Jacobi equation with infinite speed of propagation. Zbl 0888.35024
Camilli, Fabio; Siconolfi, Antonio
1
1997
Cauchy problems for stationary Hamilton-Jacobi equations under mild regularity assumptions. Zbl 1213.35183
Bernardi, Olga; Cardin, Franco; Siconolfi, Antonio
1
2009
Singularly perturbed control systems with noncompact fast variable. Zbl 1347.35022
Nguyen, Thuong; Siconolfi, Antonio
1
2016
Sottogruppi di Sylow fissati da potenze non banali di un automorfismo senza punti fissi. Zbl 0374.20032
Siconolfi, Antonio
1
1976
Maximum descent monotone solutions of an ordinary differential equation with a discontinuous right-hand side. Zbl 0491.34004
Falcone, M.; Siconolfi, A.
1
1983
Almost continuous solutions of geometric Hamilton–Jacobi equations. Zbl 1029.35067
Siconolfi, Antonio
1
2003
Hamilton-Jacobi flows with nowhere differentiable initial data. Zbl 1527.35491
Fujita, Yasuhiro; Siconolfi, Antonio; Yamaguchi, Norikazu
1
2023
Scalar reduction techniques for weakly coupled Hamilton-Jacobi systems. Zbl 1415.35094
Siconolfi, Antonio; Zabad, Sahar
1
2018
Hamilton-Jacobi flows with nowhere differentiable initial data. Zbl 1527.35491
Fujita, Yasuhiro; Siconolfi, Antonio; Yamaguchi, Norikazu
1
2023
Time-dependent Hamilton-Jacobi equations on networks. Zbl 1491.35123
Siconolfi, Antonio
3
2022
Discounted Hamilton-Jacobi equations on networks and asymptotic analysis. Zbl 1481.35125
Pozza, Marco; Siconolfi, Antonio
3
2021
The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032
Ishii, Hitoshi; Siconolfi, Antonio
12
2020
A class of nowhere differentiable functions satisfying some concavity-type estimate. Zbl 1441.26003
Fujita, Y.; Hamamuki, N.; Siconolfi, A.; Yamaguchi, N.
4
2020
Random Lax-Oleinik semigroups for Hamilton-Jacobi systems. Zbl 1415.35088
Davini, Andrea; Siconolfi, Antonio; Zavidovique, Maxime
9
2018
Global results for eikonal Hamilton-Jacobi equations on networks. Zbl 1377.35250
Siconolfi, Antonio; Sorrentino, Alfonso
4
2018
Cycle characterization of the Aubry set for weakly coupled Hamilton-Jacobi systems. Zbl 1415.35091
Ibrahim, H.; Siconolfi, A.; Zabad, S.
4
2018
Scalar reduction techniques for weakly coupled Hamilton-Jacobi systems. Zbl 1415.35094
Siconolfi, Antonio; Zabad, Sahar
1
2018
A Lagrangian approach to weakly coupled Hamilton-Jacobi systems. Zbl 1343.35065
Mitake, H.; Siconolfi, A.; Tran, H. V.; Yamada, N.
11
2016
Singularly perturbed control systems with noncompact fast variable. Zbl 1347.35022
Nguyen, Thuong; Siconolfi, Antonio
1
2016
Homogenization on arbitrary manifolds. Zbl 1315.35023
Contreras, Gonzalo; Iturriaga, Renato; Siconolfi, Antonio
3
2015
Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations. Zbl 1298.49043
Rao, Z.; Siconolfi, A.; Zidani, H.
14
2014
On smooth time functions. Zbl 1246.53095
Fathi, Albert; Siconolfi, Antonio
45
2012
Weak KAM theory topics in the stationary ergodic setting. Zbl 1271.37041
Davini, Andrea; Siconolfi, Antonio
9
2012
A metric proof of the converse Lyapunov theorem for semicontinuous multivalued dynamics. Zbl 1267.37012
Siconolfi, Antonio; Terrone, Gabriele
3
2012
Metric techniques for convex stationary ergodic Hamiltonians. Zbl 1213.49036
Davini, Andrea; Siconolfi, Antonio
13
2011
Exact and approximate correctors for stochastic Hamiltonians: The 1-dimensional case. Zbl 1191.37044
Davini, Andrea; Siconolfi, Antonio
17
2009
Randomly perturbed dynamical systems and Aubry-Mather theory. Zbl 1183.37098
Camilli, Fabio; Cesaroni, Annalisa; Siconolfi, Antonio
2
2009
Cauchy problems for stationary Hamilton-Jacobi equations under mild regularity assumptions. Zbl 1213.35183
Bernardi, Olga; Cardin, Franco; Siconolfi, Antonio
1
2009
A generalized dynamical approach to the large time behavior of solutions of Hamilton–Jacobi equations. Zbl 1109.49034
Davini, Andrea; Siconolfi, Antonio
51
2007
A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics. Zbl 1116.37009
Siconolfi, Antonio; Terrone, Gabriele
5
2007
Effective Hamiltonian and homogenization of measurable eikonal equations. Zbl 1173.35014
Camilli, Fabio; Siconolfi, Antonio
4
2007
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092
Fathi, Albert; Siconolfi, Antonio
76
2005
Time-dependent measurable Hamilton-Jacobi equations. Zbl 1082.35053
Camilli, Fabio; Siconolfi, Antonio
10
2005
Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation. Zbl 1061.58008
Fathi, Albert; Siconolfi, Antonio
82
2004
Hamilton-Jacobi equations with measurable dependence on the state variable. Zbl 1036.35052
Camilli, Fabio; Siconolfi, Antonio
16
2003
Metric character of Hamilton-Jacobi equations. Zbl 1026.35027
Siconolfi, Antonio
12
2003
Almost continuous solutions of geometric Hamilton–Jacobi equations. Zbl 1029.35067
Siconolfi, Antonio
1
2003
Nonconvex degenerate Hamilton-Jacobi equations. Zbl 1058.35063
Camilli, Fabio; Siconolfi, Antonio
6
2002
Maximal subsolutions for a class of degenerate Hamilton-Jacobi problems. Zbl 0939.49019
Camilli, Fabio; Siconolfi, Antonio
21
1999
Discontinuous solutions of a Hamilton-Jacobi equation with infinite speed of propagation. Zbl 0888.35024
Camilli, Fabio; Siconolfi, Antonio
1
1997
A first order Hamilton-Jacobi equation with singularity and the evolution of level sets. Zbl 0814.35012
Siconolfi, Antonio
4
1995
Semigroup approach for the approximation of a control problem with unbounded dynamics. Zbl 0799.49009
Loreti, P.; Siconolfi, A.
2
1993
Maximum descent monotone solutions of an ordinary differential equation with a discontinuous right-hand side. Zbl 0491.34004
Falcone, M.; Siconolfi, A.
1
1983
A new characterization of \(A_5\). Zbl 0369.20002
Machi, Antonio; Siconolfi, Antonio
4
1977
Sottogruppi di Sylow fissati da potenze non banali di un automorfismo senza punti fissi. Zbl 0374.20032
Siconolfi, Antonio
1
1976
all top 5

Cited by 300 Authors

24 Siconolfi, Antonio
16 Mitake, Hiroyoshi
15 Ishii, Hitoshi
13 Davini, Andrea
13 Tran Vinh Hung
11 Camilli, Fabio
11 Minguzzi, Ettore
10 Gomes, Diogo Luís Aguiar
9 Bernard, Patrick
9 Cheng, Wei
9 Fathi, Albert
9 Yan, Jun
7 Wang, Lin
7 Zavidovique, Maxime
6 Armstrong, Scott N.
6 Barles, Guy
6 Igbida, Noureddine
6 Sämann, Clemens
6 Sorrentino, Alfonso
6 Wang, Kaizhi
6 Yu, Yifeng
5 Cannarsa, Piermarco
5 Figalli, Alessio
5 Giga, Yoshikazu
5 Javaloyes, Miguel Angel
5 Rifford, Ludovic
5 Souganidis, Panagiotis E.
5 Suhr, Stefan
5 Zidani, Hasnaa
4 Ennaji, Hamza
4 Fujita, Yasuhiro
4 Kunzinger, Michael
4 Ley, Olivier
4 Nguyen, Van Thanh
4 Nguyen, Vinh Duc
4 Sánchez Caja, Miguel
4 Zhang, Jianlu
3 Cardaliaguet, Pierre
3 Cardin, Franco
3 Chen, Qinbo
3 Grant, James D. E.
3 Hamamuki, Nao
3 Huang, Benwen
3 Iturriaga, Renato
3 Jin, Liang
3 Li, Xia
3 Liu, Qihuai
3 Liu, Qing
3 Lopes, Artur Oscar
3 Prados, Emmanuel
3 Sánchez-Morgado, Héctor
3 Soravia, Pierpaolo
3 Steinbauer, Roland
3 Thieullen, Philippe
3 Wang, Changyou
3 Yamaguchi, Norikazu
3 Yilmaz, Atilla
2 Akian, Marianne
2 Berestycki, Henri
2 Bernardi, Olga
2 Briani, Ariela
2 Capuzzo Dolcetta, Italo
2 Chasseigne, Emmanuel
2 Chruściel, Piotr Tadeusz
2 De Pascale, Luigi
2 Faugeras, Olivier D.
2 Festa, Adriano
2 Forcadel, Nicolas
2 Gao, Hongwei
2 Gao, Yuan
2 Garibaldi, Eduardo
2 Gaubert, Stéphane
2 Granieri, Luca
2 Hafstein, Sigurður Freyr
2 Hermosilla, Cristopher
2 Ibrahim, Hassan
2 Ichihara, Naoyuki
2 Imbert, Cyril
2 Jaramillo, Jesús Angel
2 Jiménez-Sevilla, Mar
2 Jubin, Benoît
2 Khavkine, Igor
2 Kosygina, Elena
2 Liu, Jianguo
2 Loreti, Paola
2 Massart, Daniel
2 Mazzola, Marco
2 Mohr, Joana
2 Motta, Monica
2 Nadin, Grégoire
2 Nakayasu, Atsushi
2 Nurbekyan, Levon
2 Oliveira Dos Santos, Joana
2 Parmeggiani, Alberto
2 Pendás-Recondo, Enrique
2 Ponsiglione, Marcello
2 Pozza, Marco
2 Rao, Zhiping
2 Rovenskiĭ, Vladimir Yuzefovich
2 Schieborn, Dirk
...and 200 more Authors
all top 5

Cited in 105 Serials

26 Calculus of Variations and Partial Differential Equations
18 Journal of Differential Equations
10 Communications in Partial Differential Equations
10 Discrete and Continuous Dynamical Systems
9 Archive for Rational Mechanics and Analysis
8 Proceedings of the American Mathematical Society
8 Transactions of the American Mathematical Society
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 NoDEA. Nonlinear Differential Equations and Applications
7 Applied Mathematics and Optimization
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Communications in Mathematical Physics
6 SIAM Journal on Mathematical Analysis
5 Classical and Quantum Gravity
5 Mathematische Annalen
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Annales Henri Poincaré
4 Communications on Pure and Applied Mathematics
4 Applied Numerical Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 General Relativity and Gravitation
3 Journal of Mathematical Analysis and Applications
3 Letters in Mathematical Physics
3 Nonlinearity
3 Inventiones Mathematicae
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Science China. Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Reviews in Mathematical Physics
2 Advances in Mathematics
2 Geometriae Dedicata
2 Journal of the London Mathematical Society. Second Series
2 Journal of Soviet Mathematics
2 Mathematische Nachrichten
2 Annals of Global Analysis and Geometry
2 Revista Matemática Iberoamericana
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Imaging and Vision
2 Advances in Differential Equations
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Geometric Methods in Modern Physics
2 Networks and Heterogeneous Media
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Calculus of Variations
2 Analysis & PDE
2 Mathematics in Engineering
2 SN Partial Differential Equations and Applications
1 International Journal of Modern Physics A
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quarterly of Applied Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Systems & Control Letters
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of the American Mathematical Society
1 Science in China. Series A
1 European Journal of Operational Research
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Discrete Dynamics in Nature and Society
1 Regular and Chaotic Dynamics
1 Living Reviews in Relativity
1 Journal of Evolution Equations
1 Advanced Nonlinear Studies
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Journal of Fixed Point Theory and Applications
1 Journal of Modern Dynamics
1 Journal of Topology and Analysis
1 International Journal of Differential Equations
1 Journal of Geometric Mechanics
1 Set-Valued and Variational Analysis
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of Mathematical Sciences
1 Mathematical Control and Related Fields
1 Journal of Computational Dynamics
...and 5 more Serials
all top 5

Cited in 41 Fields

172 Partial differential equations (35-XX)
134 Calculus of variations and optimal control; optimization (49-XX)
85 Dynamical systems and ergodic theory (37-XX)
55 Differential geometry (53-XX)
28 Mechanics of particles and systems (70-XX)
27 Relativity and gravitational theory (83-XX)
17 Probability theory and stochastic processes (60-XX)
15 Global analysis, analysis on manifolds (58-XX)
15 Systems theory; control (93-XX)
13 Numerical analysis (65-XX)
12 Ordinary differential equations (34-XX)
10 Real functions (26-XX)
8 Operator theory (47-XX)
8 Quantum theory (81-XX)
6 General topology (54-XX)
4 Group theory and generalizations (20-XX)
4 Measure and integration (28-XX)
4 Functional analysis (46-XX)
4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
4 Operations research, mathematical programming (90-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Computer science (68-XX)
3 Optics, electromagnetic theory (78-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Combinatorics (05-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year