Edit Profile (opens in new tab) Siconolfi, Antonio Compute Distance To: Compute Author ID: siconolfi.antonio Published as: Siconolfi, Antonio; Siconolfi, A. Documents Indexed: 39 Publications since 1976 Co-Authors: 21 Co-Authors with 29 Joint Publications 314 Co-Co-Authors all top 5 Co-Authors 6 single-authored 7 Camilli, Fabio 6 Davini, Andrea 3 Fathi, Albert 2 Terrone, Gabriele 2 Zabad, Sahar 1 Bernardi, Olga 1 Cardin, Franco 1 Cesaroni, Annalisa 1 Contreras, Gonzalo 1 Fujita, Yasuhiro 1 Hamamuki, Nao 1 Ishii, Hitoshi 1 Iturriaga, Renato 1 Machi, Antonio 1 Marigonda, Antonio 1 Mitake, Hiroyoshi 1 Pozza, Marco 1 Sorrentino, Alfonso 1 Tran Vinh Hung 1 Yamaguchi, Norikazu 1 Zavidovique, Maxime all top 5 Serials 4 Calculus of Variations and Partial Differential Equations 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Advances in Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 Analysis & PDE 1 International Journal of Dynamical Systems and Differential Equations 1 Journal of Geometric Mechanics 1 SN Partial Differential Equations and Applications all top 5 Fields 31 Calculus of variations and optimal control; optimization (49-XX) 28 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 Group theory and generalizations (20-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 402 times in 269 Documents Cited by ▼ Year ▼ Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation. Zbl 1061.58008Fathi, Albert; Siconolfi, Antonio 77 2004 PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092Fathi, Albert; Siconolfi, Antonio 67 2005 A generalized dynamical approach to the large time behavior of solutions of Hamilton–Jacobi equations. Zbl 1109.49034Davini, Andrea; Siconolfi, Antonio 47 2007 On smooth time functions. Zbl 1246.53095Fathi, Albert; Siconolfi, Antonio 37 2012 Maximal subsolutions for a class of degenerate Hamilton-Jacobi problems. Zbl 0939.49019Camilli, Fabio; Siconolfi, Antonio 21 1999 Hamilton-Jacobi equations with measurable dependence on the state variable. Zbl 1036.35052Camilli, Fabio; Siconolfi, Antonio 16 2003 Exact and approximate correctors for stochastic Hamiltonians: The 1-dimensional case. Zbl 1191.37044Davini, Andrea; Siconolfi, Antonio 16 2009 Metric techniques for convex stationary ergodic Hamiltonians. Zbl 1213.49036Davini, Andrea; Siconolfi, Antonio 13 2011 Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations. Zbl 1298.49043Rao, Z.; Siconolfi, A.; Zidani, H. 12 2014 Metric character of Hamilton-Jacobi equations. Zbl 1026.35027Siconolfi, Antonio 11 2003 A Lagrangian approach to weakly coupled Hamilton-Jacobi systems. Zbl 1343.35065Mitake, H.; Siconolfi, A.; Tran, H. V.; Yamada, N. 11 2016 Weak KAM theory topics in the stationary ergodic setting. Zbl 1271.37041Davini, Andrea; Siconolfi, Antonio 9 2012 Time-dependent measurable Hamilton-Jacobi equations. Zbl 1082.35053Camilli, Fabio; Siconolfi, Antonio 9 2005 Random Lax-Oleinik semigroups for Hamilton-Jacobi systems. Zbl 1415.35088Davini, Andrea; Siconolfi, Antonio; Zavidovique, Maxime 7 2018 A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics. Zbl 1116.37009Siconolfi, Antonio; Terrone, Gabriele 5 2007 Nonconvex degenerate Hamilton-Jacobi equations. Zbl 1058.35063Camilli, Fabio; Siconolfi, Antonio 5 2002 The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032Ishii, Hitoshi; Siconolfi, Antonio 5 2020 A new characterization of \(A_5\). Zbl 0369.20002Machi, Antonio; Siconolfi, Antonio 4 1977 Cycle characterization of the Aubry set for weakly coupled Hamilton-Jacobi systems. Zbl 1415.35091Ibrahim, H.; Siconolfi, A.; Zabad, S. 4 2018 A first order Hamilton-Jacobi equation with singularity and the evolution of level sets. Zbl 0814.35012Siconolfi, Antonio 4 1995 Effective Hamiltonian and homogenization of measurable eikonal equations. Zbl 1173.35014Camilli, Fabio; Siconolfi, Antonio 4 2007 Discounted Hamilton-Jacobi equations on networks and asymptotic analysis. Zbl 1481.35125Pozza, Marco; Siconolfi, Antonio 2 2021 A metric proof of the converse Lyapunov theorem for semicontinuous multivalued dynamics. Zbl 1267.37012Siconolfi, Antonio; Terrone, Gabriele 2 2012 Semigroup approach for the approximation of a control problem with unbounded dynamics. Zbl 0799.49009Loreti, P.; Siconolfi, A. 2 1993 A class of nowhere differentiable functions satisfying some concavity-type estimate. Zbl 1441.26003Fujita, Y.; Hamamuki, N.; Siconolfi, A.; Yamaguchi, N. 2 2020 Randomly perturbed dynamical systems and Aubry-Mather theory. Zbl 1183.37098Camilli, Fabio; Cesaroni, Annalisa; Siconolfi, Antonio 2 2009 Sottogruppi di Sylow fissati da potenze non banali di un automorfismo senza punti fissi. Zbl 0374.20032Siconolfi, Antonio 1 1976 Scalar reduction techniques for weakly coupled Hamilton-Jacobi systems. Zbl 1415.35094Siconolfi, Antonio; Zabad, Sahar 1 2018 Global results for eikonal Hamilton-Jacobi equations on networks. Zbl 1377.35250Siconolfi, Antonio; Sorrentino, Alfonso 1 2018 Almost continuous solutions of geometric Hamilton–Jacobi equations. Zbl 1029.35067Siconolfi, Antonio 1 2003 Homogenization on arbitrary manifolds. Zbl 1315.35023Contreras, Gonzalo; Iturriaga, Renato; Siconolfi, Antonio 1 2015 Discontinuous solutions of a Hamilton-Jacobi equation with infinite speed of propagation. Zbl 0888.35024Camilli, Fabio; Siconolfi, Antonio 1 1997 Cauchy problems for stationary Hamilton-Jacobi equations under mild regularity assumptions. Zbl 1213.35183Bernardi, Olga; Cardin, Franco; Siconolfi, Antonio 1 2009 Maximum descent monotone solutions of an ordinary differential equation with a discontinuous right-hand side. Zbl 0491.34004Falcone, M.; Siconolfi, A. 1 1983 Discounted Hamilton-Jacobi equations on networks and asymptotic analysis. Zbl 1481.35125Pozza, Marco; Siconolfi, Antonio 2 2021 The vanishing discount problem for Hamilton-Jacobi equations in the Euclidean space. Zbl 1442.35032Ishii, Hitoshi; Siconolfi, Antonio 5 2020 A class of nowhere differentiable functions satisfying some concavity-type estimate. Zbl 1441.26003Fujita, Y.; Hamamuki, N.; Siconolfi, A.; Yamaguchi, N. 2 2020 Random Lax-Oleinik semigroups for Hamilton-Jacobi systems. Zbl 1415.35088Davini, Andrea; Siconolfi, Antonio; Zavidovique, Maxime 7 2018 Cycle characterization of the Aubry set for weakly coupled Hamilton-Jacobi systems. Zbl 1415.35091Ibrahim, H.; Siconolfi, A.; Zabad, S. 4 2018 Scalar reduction techniques for weakly coupled Hamilton-Jacobi systems. Zbl 1415.35094Siconolfi, Antonio; Zabad, Sahar 1 2018 Global results for eikonal Hamilton-Jacobi equations on networks. Zbl 1377.35250Siconolfi, Antonio; Sorrentino, Alfonso 1 2018 A Lagrangian approach to weakly coupled Hamilton-Jacobi systems. Zbl 1343.35065Mitake, H.; Siconolfi, A.; Tran, H. V.; Yamada, N. 11 2016 Homogenization on arbitrary manifolds. Zbl 1315.35023Contreras, Gonzalo; Iturriaga, Renato; Siconolfi, Antonio 1 2015 Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations. Zbl 1298.49043Rao, Z.; Siconolfi, A.; Zidani, H. 12 2014 On smooth time functions. Zbl 1246.53095Fathi, Albert; Siconolfi, Antonio 37 2012 Weak KAM theory topics in the stationary ergodic setting. Zbl 1271.37041Davini, Andrea; Siconolfi, Antonio 9 2012 A metric proof of the converse Lyapunov theorem for semicontinuous multivalued dynamics. Zbl 1267.37012Siconolfi, Antonio; Terrone, Gabriele 2 2012 Metric techniques for convex stationary ergodic Hamiltonians. Zbl 1213.49036Davini, Andrea; Siconolfi, Antonio 13 2011 Exact and approximate correctors for stochastic Hamiltonians: The 1-dimensional case. Zbl 1191.37044Davini, Andrea; Siconolfi, Antonio 16 2009 Randomly perturbed dynamical systems and Aubry-Mather theory. Zbl 1183.37098Camilli, Fabio; Cesaroni, Annalisa; Siconolfi, Antonio 2 2009 Cauchy problems for stationary Hamilton-Jacobi equations under mild regularity assumptions. Zbl 1213.35183Bernardi, Olga; Cardin, Franco; Siconolfi, Antonio 1 2009 A generalized dynamical approach to the large time behavior of solutions of Hamilton–Jacobi equations. Zbl 1109.49034Davini, Andrea; Siconolfi, Antonio 47 2007 A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics. Zbl 1116.37009Siconolfi, Antonio; Terrone, Gabriele 5 2007 Effective Hamiltonian and homogenization of measurable eikonal equations. Zbl 1173.35014Camilli, Fabio; Siconolfi, Antonio 4 2007 PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Zbl 1065.35092Fathi, Albert; Siconolfi, Antonio 67 2005 Time-dependent measurable Hamilton-Jacobi equations. Zbl 1082.35053Camilli, Fabio; Siconolfi, Antonio 9 2005 Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation. Zbl 1061.58008Fathi, Albert; Siconolfi, Antonio 77 2004 Hamilton-Jacobi equations with measurable dependence on the state variable. Zbl 1036.35052Camilli, Fabio; Siconolfi, Antonio 16 2003 Metric character of Hamilton-Jacobi equations. Zbl 1026.35027Siconolfi, Antonio 11 2003 Almost continuous solutions of geometric Hamilton–Jacobi equations. Zbl 1029.35067Siconolfi, Antonio 1 2003 Nonconvex degenerate Hamilton-Jacobi equations. Zbl 1058.35063Camilli, Fabio; Siconolfi, Antonio 5 2002 Maximal subsolutions for a class of degenerate Hamilton-Jacobi problems. Zbl 0939.49019Camilli, Fabio; Siconolfi, Antonio 21 1999 Discontinuous solutions of a Hamilton-Jacobi equation with infinite speed of propagation. Zbl 0888.35024Camilli, Fabio; Siconolfi, Antonio 1 1997 A first order Hamilton-Jacobi equation with singularity and the evolution of level sets. Zbl 0814.35012Siconolfi, Antonio 4 1995 Semigroup approach for the approximation of a control problem with unbounded dynamics. Zbl 0799.49009Loreti, P.; Siconolfi, A. 2 1993 Maximum descent monotone solutions of an ordinary differential equation with a discontinuous right-hand side. Zbl 0491.34004Falcone, M.; Siconolfi, A. 1 1983 A new characterization of \(A_5\). Zbl 0369.20002Machi, Antonio; Siconolfi, Antonio 4 1977 Sottogruppi di Sylow fissati da potenze non banali di un automorfismo senza punti fissi. Zbl 0374.20032Siconolfi, Antonio 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 277 Authors 19 Siconolfi, Antonio 14 Mitake, Hiroyoshi 13 Ishii, Hitoshi 12 Davini, Andrea 11 Tran Vinh Hung 10 Camilli, Fabio 9 Bernard, Patrick 9 Cheng, Wei 9 Yan, Jun 8 Gomes, Diogo Luís Aguiar 7 Fathi, Albert 7 Minguzzi, Ettore 7 Wang, Lin 6 Armstrong, Scott N. 6 Barles, Guy 6 Igbida, Noureddine 6 Wang, Kaizhi 6 Yu, Yifeng 6 Zavidovique, Maxime 5 Cannarsa, Piermarco 5 Figalli, Alessio 5 Giga, Yoshikazu 5 Rifford, Ludovic 5 Sämann, Clemens 5 Sorrentino, Alfonso 4 Ennaji, Hamza 4 Javaloyes, Miguel Angel 4 Kunzinger, Michael 4 Ley, Olivier 4 Nguyen, Van Thanh 4 Nguyen, Vinh Duc 4 Souganidis, Panagiotis E. 4 Suhr, Stefan 3 Cardaliaguet, Pierre 3 Cardin, Franco 3 Fujita, Yasuhiro 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 Caja, Miguel 3 Soravia, Pierpaolo 3 Thieullen, Philippe 3 Wang, Changyou 3 Yilmaz, Atilla 3 Zhang, Jianlu 2 Akian, Marianne 2 Berestycki, Henri 2 Bernardi, Olga 2 Briani, Ariela 2 Chasseigne, Emmanuel 2 Chen, Qinbo 2 Chruściel, Piotr Tadeusz 2 De Pascale, Luigi 2 Faugeras, Olivier D. 2 Festa, Adriano 2 Gao, Hongwei 2 Garibaldi, Eduardo 2 Gaubert, Stéphane 2 Granieri, Luca 2 Hafstein, Sigurður Freyr 2 Ichihara, Naoyuki 2 Imbert, Cyril 2 Jaramillo, Jesús Angel 2 Jiménez-Sevilla, Mar 2 Jubin, Benoît 2 Khavkine, Igor 2 Kosygina, Elena 2 Loreti, Paola 2 Massart, Daniel 2 Mazzola, Marco 2 Mohr, Joana 2 Nadin, Grégoire 2 Nakayasu, Atsushi 2 Nurbekyan, Levon 2 Oliveira Dos Santos, Joana 2 Parmeggiani, Alberto 2 Ponsiglione, Marcello 2 Rovenskiĭ, Vladimir Yuzefovich 2 Sánchez-Morgado, Héctor 2 Schieborn, Dirk 2 Steinbauer, Roland 2 Su, Xifeng 2 Yamaguchi, Norikazu 2 Zabad, Sahar 2 Zagatti, Sandro 2 Zanelli, Lorenzo 2 Zhao, Kai 1 Aazami, Amir Babak 1 Abbondandolo, Alberto 1 Achdou, Yves 1 Alzahrani, Ebraheem O. 1 Araújo, Damião Júnio 1 Auricchio, Ferdinando ...and 177 more Authors all top 5 Cited in 94 Serials 25 Calculus of Variations and Partial Differential Equations 17 Journal of Differential Equations 10 Discrete and Continuous Dynamical Systems 9 Archive for Rational Mechanics and Analysis 9 Communications in Partial Differential Equations 8 Transactions of the American Mathematical Society 8 NoDEA. Nonlinear Differential Equations and Applications 7 Proceedings of the American Mathematical Society 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Communications in Mathematical Physics 6 Applied Mathematics and Optimization 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 SIAM Journal on Mathematical Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Classical and Quantum Gravity 3 General Relativity and Gravitation 3 Journal of Mathematical Analysis and Applications 3 Inventiones Mathematicae 3 Mathematische Annalen 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 Letters in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Geometriae Dedicata 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 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 SN Partial Differential Equations and Applications 1 International Journal of Modern Physics A 1 Nonlinearity 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 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 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 Advances in Differential Equations 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 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 Séminaire Laurent Schwartz. EDP et Applications 1 Mathematics in Engineering 1 Pure and Applied Analysis all top 5 Cited in 40 Fields 151 Partial differential equations (35-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 76 Dynamical systems and ergodic theory (37-XX) 45 Differential geometry (53-XX) 25 Mechanics of particles and systems (70-XX) 24 Relativity and gravitational theory (83-XX) 15 Probability theory and stochastic processes (60-XX) 15 Systems theory; control (93-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Ordinary differential equations (34-XX) 12 Numerical analysis (65-XX) 8 Operator theory (47-XX) 8 Quantum theory (81-XX) 7 Real functions (26-XX) 6 General topology (54-XX) 4 Group theory and generalizations (20-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Geometry (51-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 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) Citations by Year