Edit Profile Capuzzo Dolcetta, Italo Compute Distance To: Compute Author ID: capuzzo-dolcetta.italo Published as: Capuzzo Dolcetta, I.; Capuzzo Dolcetta, Italo; Capuzzo-Dolcetta, I.; Capuzzo-Dolcetta, Italo; Dolcetta Capuzzo, Italo; Dolcetta, I. C.; Dolcetta, I. Capuzzo; Dolcetta, Italo Capuzzo External Links: MGP · Math-Net.Ru · ResearchGate · dblp Documents Indexed: 89 Publications since 1975, including 5 Books all top 5 Co-Authors 18 single-authored 14 Vitolo, Antonio 6 Achdou, Yves 6 Camilli, Fabio 6 Leoni, Fabiana 6 Matzeu, Michele 5 Bardi, Martino 5 Birindelli, Isabeau 5 Boccardo, Lucio 4 Berestycki, Henri 3 Cutrì, Alessandra 3 Finzi Vita, Stefano 3 Ishii, Hitoshi 3 Nirenberg, Louis 2 Caines, Peter Edwin 2 Falcone, Maurizio 2 Garroni, Maria Giovanna 2 Lions, Pierre-Louis 2 Lorenzani, Massimo 2 Menaldi, Jose-Luis 2 Porretta, Alessio 2 Tchou, Nicoletta Anna 2 Vivaldi, Maria Agostina 1 Bagagiolo, Fabio 1 Banchoff, Thomas F. 1 Dechamps, Myriam 1 Emmer, Michele 1 Evans, Lawrence Craig 1 Ferretti, Roberto Giorgio 1 Gomes, Diogo Luís Aguiar 1 Kocak, Huseyin 1 March, Riccardo 1 Perthame, Benoît 1 Rossi, Luca 1 Salinger, David L. 1 Spizzichino, Fabio L. all top 5 Serials 3 Applied Mathematics and Optimization 3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 3 Communications in Partial Differential Equations 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Calcolo 2 Journal of Differential Equations 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Mathematical Sciences (New York) 2 Communications in Contemporary Mathematics 2 Bollettino della Unione Matematica Italiana. Series V. B 2 Dynamic Games and Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Control and Cybernetics 1 Indiana University Mathematics Journal 1 Le Matematiche 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Ricerche di Matematica 1 Systems & Control Letters 1 IMRN. International Mathematics Research Notices 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Mathematical Sciences and Applications 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Interfaces and Free Boundaries 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bollettino della Unione Matematica Italiana. Series IV 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Mathematics 1 Systems & Control: Foundations & Applications 1 Networks and Heterogeneous Media 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Modern Birkhäuser Classics all top 5 Fields 64 Partial differential equations (35-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 10 Numerical analysis (65-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 5 Systems theory; control (93-XX) 4 Operator theory (47-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Mechanics of particles and systems (70-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 1,812 times in 1,435 Documents Cited by ▼ Year ▼ Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0890.49011Bardi, Martino; Capuzzo-Dolcetta, Italo 664 1997 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 119 1994 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 105 1995 Hamilton-Jacobi equations with state constraints. Zbl 0702.49019Capuzzo-Dolcetta, I.; Lions, Pierre-Louis 82 1990 Mean field games: numerical methods. Zbl 1217.91019Achdou, Yves; Capuzzo-Dolcetta, Italo 74 2010 Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Reprint of the 1997 original. Zbl 1134.49022Bardi, Martino; Capuzzo-Dolcetta, Italo 71 2008 Optimal switching for ordinary differential equations. Zbl 0641.49017Capuzzo Dolcetta, I.; Evans, L. C. 57 1984 Approximate solutions of the Bellman equation of deterministic control theory. Zbl 0553.49024Capuzzo Dolcetta, I.; Ishii, H. 45 1984 Mean field games: numerical methods for the planning problem. Zbl 1242.91014Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo 44 2012 Area-preserving curve-shortening flows: From phase separation to image processing. Zbl 1021.35129Capuzzo Dolcetta, Italo; Finzi Vita, Stefano; March, Riccardo 40 2002 Liouville theorems for semilinear equations on the Heisenberg group. Zbl 0876.35033Birindelli, I.; Capuzzo Dolcetta, I.; Cutrì, A. 37 1997 Hölder estimates for degenerate elliptic equations with coercive Hamiltonians. Zbl 1198.35110Capuzzo Dolcetta, I.; Leoni, F.; Porretta, A. 33 2010 On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\). Zbl 1342.35116Capuzzo Dolcetta, Italo; Leoni, Fabiana; Vitolo, Antonio 27 2016 Mean field games: convergence of a finite difference method. Zbl 1286.91022Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo 25 2013 Indefinite semi-linear equations on the Heisenberg group: A priori bounds and existence. Zbl 0965.35019Birindelli, I.; Capuzzo Dolcetta, I. 22 1998 The Alexandrov-Bakelman-Pucci weak maximum principle for fully nonlinear equations in unbounded domains. Zbl 1134.35359Capuzzo-Dolcetta, I.; Leoni, F.; Vitolo, A. 19 2005 On the rate of convergence in homogenization of Hamilton-Jacobi equations. Zbl 1256.35003Capuzzo-Dolcetta, I.; Ishii, H. 19 2001 On the Liouville property for sub-Laplacians. Zbl 1042.35013Capuzzo Dolcetta, Italo; Cutrì, Alessandra 19 1997 Discrete dynamic programming and viscosity solutions of the Bellman equation. Zbl 0674.49028Dolcetta, I. Capuzzo; Falcone, M. 19 1989 Hadamard and Liouville type results for fully nonlinear partial differential inequalities. Zbl 1040.35024Capuzzo Dolcetta, I.; Cutrì, A. 18 2003 Maximum principle and generalized principal eigenvalue for degenerate elliptic operators. Zbl 1323.35123Berestycki, Henri; Capuzzo Dolcetta, Italo; Porretta, Alessio; Rossi, Luca 17 2015 A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations. Zbl 1130.35051Dolcetta, I. Capuzzo; Vitolo, A. 16 2007 On some analogy between different approaches to first order PDE’s with non smooth coefficients. Zbl 0865.35032Capuzzo Dolcetta, I.; Perthame, B. 15 1996 Indefinite elliptic equations and nonlinear Liouville theorems. Zbl 0820.35056Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 14 1993 Error estimates for the approximation of the effective Hamiltonian. Zbl 1140.49023Camilli, Fabio; Capuzzo Dolcetta, Italo; Gomes, Diogo A. 13 2008 Entire subsolutions of fully nonlinear degenerate elliptic equations. Zbl 1304.35297Dolcetta, Italo Capuzzo; Leoni, Fabiana; Vitolo, Antonio 12 2014 G-convergenza e problema di Dirichlet unilaterale. Zbl 0337.35023Boccardo, L.; Dolcetta, I. Capuzzo 12 1975 On a system of first-order quasi-variational inequalities connected with the optimal switching problem. Zbl 0521.49008Capuzzo Dolcetta, I.; Matzeu, M.; Menaldi, J. L. 11 1983 ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains. Zbl 1344.35036Birindelli, I.; Dolcetta, I. Capuzzo; Vitolo, A. 10 2016 Oblique derivative problems and invariant measures. Zbl 0635.35020Capuzzo Dolcetta, Italo; Garroni, M. G. 10 1986 The weak maximum principle for degenerate elliptic operators in unbounded domains. Zbl 1407.35038Capuzzo Dolcetta, Italo; Vitolo, Antonio 9 2018 Homogenization of Hamilton-Jacobi equations: Numerical methods. Zbl 1155.65072Achdou, Yves; Camilli, Fabio; Dolcetta, Italo Capuzzo 8 2008 The Hopf solution of Hamilton-Jacobi equations. Zbl 1033.35021Capuzzo Dolcetta, Italo 8 2002 A viscosity solutions approach to some asymptotic problems in optimal control. Zbl 0881.35013Bagagiolo, F.; Bardi, M.; Capuzzo Dolcetta, I. 8 1997 Duality for implicit variational problems and numerical applications. Zbl 0456.49011Capuzzo Dolcetta, I.; Matzeu, M. 8 1980 Glaeser’s type gradient estimates for non-negative solutions of fully nonlinear elliptic equations. Zbl 1193.35043Dolcetta, Italo Capuzzo; Vitolo, Antonio 7 2010 Stabilita delle soluzioni di disequazioni variazionali ellittiche e paraboliche quasi lineari. Zbl 0408.49011Boccardo, Lucio; Dolcetta, Italo Capuzzo 7 1978 Preface: DGAA special issue on mean field games. Zbl 1304.00024Bardi, Martino (ed.); Caines, Peter E. (ed.); Capuzzo Dolcetta, Italo (ed.) 6 2013 Representations of solutions of Hamilton-Jacobi equations. Zbl 1052.35052Capuzzo Dolcetta, Italo 6 2003 On the maximum principle for viscosity solutions of fully nonlinear elliptic equations in general domains. Zbl 1150.35031Capuzzo Dolcetta, Italo; Vitolo, A. 5 2007 On the dynamic programming inequalities associated with the deterministic optimal stopping problem in discrete and continuous time. Zbl 0476.49021Dolcetta, I. Capuzzo; Matzeu, M. 5 1981 A degenerate complementarity system and applications to the optimal stopping of Markov chains. Zbl 0439.60039Dolcetta, Italo Capuzzo; Lorenzani, Massimo; Spizzichino, Fabio 5 1980 Directional ellipticity on special domains: weak maximum and Phragmén-Lindelöf principles. Zbl 1421.35105Dolcetta, Italo Capuzzo; Vitolo, Antonio 4 2019 Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group. Zbl 1153.65083Achdou, Yves; Capuzzo-Dolcetta, Italo 4 2008 Viscosity solutions and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, June 12-20, 1995. Zbl 0868.00050Capuzzo Dolcetta, I. (ed.); Lions, P. L. (ed.) 4 1997 Hamilton-Jacobi equations with constraints. Zbl 0825.49041Capuzzo-Dolcetta, I. 4 1988 Disequazioni quasi-variazionali con funzione d’ostacolo quasilimitata: esistenza di soluzioni e G-convergenza. Zbl 0399.49004Boccardo, L.; Dolcetta, I. Capuzzo 4 1978 Preface: DGAA 2nd special issue on mean field games. Zbl 1304.00025Bardi, Martino (ed.); Caines, Peter E. (ed.); Capuzzo Dolcetta, Italo (ed.) 3 2014 \(C^{1,\alpha}\) and Glaeser type estimates. Zbl 1196.35061Capuzzo Dolcetta, Italo; Vitolo, Antonio 3 2009 Optimal stopping time formulation of adaptive image filtering. Zbl 0988.68213Capuzzo Dolcetta, I.; Ferretti, R. 3 2001 Finite element approximation of some indefinite elliptic problems. Zbl 0692.65052Capuzzo Dolcetta, I.; Finzi Vita, S. 3 1988 Comportement asymptotique de la solution de problèmes non sous forme divergence avec condition de dérivée oblique sur le bord. (Asymptotic behaviour of the solution of some oblique derivative problems not in divergence form). Zbl 0574.35028Capuzzo Dolcetta, Italo; Garroni, Maria Giovanna 3 1984 A constructive approach to the deterministic stopping time problem. Zbl 0492.49013Capuzzo Dolcetta, Italo; Matzeu, Michele 3 1981 On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators. Zbl 1372.35207Birindelli, Isabeau; Camilli, Fabio; Dolcetta, Italo Capuzzo 2 2017 A generalized Hopf-Lax formula: analytical and approximations aspects. Zbl 1195.35105Capuzzo Dolcetta, I. 2 2008 On the weak maximum principle for fully nonlinear elliptic PDEs in general unbounded domains. Zbl 1189.35094Capuzzo Dolcetta, Italo 2 2008 Gradient and Hölder estimates for positive solutions of Pucci type equations. Zbl 1145.35050Capuzzo Dolcetta, Italo; Vitolo, Antonio 2 2008 On the rate of convergence in homogenization of Hamilton-Jacobi equations. Zbl 0968.49019Capuzzo Dolcetta, I.; Ishii, H. 2 2000 Asymptotic behavior of the first order obstacle problem. Zbl 0674.35011Capuzzo Dolcetta, I.; Menaldi, J. L. 2 1988 Existence of weak solutions for some nonlinear problems by the Schauder method. Zbl 0521.35017Boccardo, L.; Capuzzo Dolcetta, I. 2 1982 Special issue: Selected papers based on the presentations at the workshop ‘Mean field games and related topics’, held at INdAM, Rome, Italy, May 12–13, 2011. Zbl 1282.91011Camilli, Fabio (ed.); Capuzzo Dolcetta, Italo (ed.); Falcone, Maurizio (ed.) 1 2012 Pointwise gradient estimates of Glaeser’s type. Zbl 1260.35029Capuzzo Dolcetta, Italo; Vitolo, Antonio 1 2012 Viscosity solutions. Zbl 1036.49032Capuzzo Dolcetta, Italo 1 2001 Morse index and Liouville property for superlinear elliptic equations on the Heisenberg group. Zbl 1097.35045Capuzzo Dolcetta, Italo; Birindelli, Isabeau 1 2000 Liouville theorems and a priori estimates for semilinear elliptic equations. Zbl 1043.35039Capuzzo Dolcetta, Italo 1 1998 Hamilton-Jacobi-Bellman equations and optimal control. Zbl 0933.49018Capuzzo Dolcetta, Italo 1 1998 Nouveaux résultats d’existence, perturbation et homogeneisation de quelques problèmes non linéaires. Zbl 0404.49008Boccardo, L.; Dolcetta, I. Capuzzo; Matzeu, M. 1 1979 Existence of a regular solution of a quasi-variational inequality in an unbounded domain. Zbl 0399.35002Capuzzo Dolcetta, I.; Vivaldi, M. A. 1 1978 On a partition of an Euclidean half-space. Zbl 0362.15009Capuzzo Dolcetta, Italo; Lorenzani, Massimo 1 1976 Directional ellipticity on special domains: weak maximum and Phragmén-Lindelöf principles. Zbl 1421.35105Dolcetta, Italo Capuzzo; Vitolo, Antonio 4 2019 The weak maximum principle for degenerate elliptic operators in unbounded domains. Zbl 1407.35038Capuzzo Dolcetta, Italo; Vitolo, Antonio 9 2018 On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators. Zbl 1372.35207Birindelli, Isabeau; Camilli, Fabio; Dolcetta, Italo Capuzzo 2 2017 On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\). Zbl 1342.35116Capuzzo Dolcetta, Italo; Leoni, Fabiana; Vitolo, Antonio 27 2016 ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains. Zbl 1344.35036Birindelli, I.; Dolcetta, I. Capuzzo; Vitolo, A. 10 2016 Maximum principle and generalized principal eigenvalue for degenerate elliptic operators. Zbl 1323.35123Berestycki, Henri; Capuzzo Dolcetta, Italo; Porretta, Alessio; Rossi, Luca 17 2015 Entire subsolutions of fully nonlinear degenerate elliptic equations. Zbl 1304.35297Dolcetta, Italo Capuzzo; Leoni, Fabiana; Vitolo, Antonio 12 2014 Preface: DGAA 2nd special issue on mean field games. Zbl 1304.00025Bardi, Martino (ed.); Caines, Peter E. (ed.); Capuzzo Dolcetta, Italo (ed.) 3 2014 Mean field games: convergence of a finite difference method. Zbl 1286.91022Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo 25 2013 Preface: DGAA special issue on mean field games. Zbl 1304.00024Bardi, Martino (ed.); Caines, Peter E. (ed.); Capuzzo Dolcetta, Italo (ed.) 6 2013 Mean field games: numerical methods for the planning problem. Zbl 1242.91014Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo 44 2012 Special issue: Selected papers based on the presentations at the workshop ‘Mean field games and related topics’, held at INdAM, Rome, Italy, May 12–13, 2011. Zbl 1282.91011Camilli, Fabio (ed.); Capuzzo Dolcetta, Italo (ed.); Falcone, Maurizio (ed.) 1 2012 Pointwise gradient estimates of Glaeser’s type. Zbl 1260.35029Capuzzo Dolcetta, Italo; Vitolo, Antonio 1 2012 Mean field games: numerical methods. Zbl 1217.91019Achdou, Yves; Capuzzo-Dolcetta, Italo 74 2010 Hölder estimates for degenerate elliptic equations with coercive Hamiltonians. Zbl 1198.35110Capuzzo Dolcetta, I.; Leoni, F.; Porretta, A. 33 2010 Glaeser’s type gradient estimates for non-negative solutions of fully nonlinear elliptic equations. Zbl 1193.35043Dolcetta, Italo Capuzzo; Vitolo, Antonio 7 2010 \(C^{1,\alpha}\) and Glaeser type estimates. Zbl 1196.35061Capuzzo Dolcetta, Italo; Vitolo, Antonio 3 2009 Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Reprint of the 1997 original. Zbl 1134.49022Bardi, Martino; Capuzzo-Dolcetta, Italo 71 2008 Error estimates for the approximation of the effective Hamiltonian. Zbl 1140.49023Camilli, Fabio; Capuzzo Dolcetta, Italo; Gomes, Diogo A. 13 2008 Homogenization of Hamilton-Jacobi equations: Numerical methods. Zbl 1155.65072Achdou, Yves; Camilli, Fabio; Dolcetta, Italo Capuzzo 8 2008 Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group. Zbl 1153.65083Achdou, Yves; Capuzzo-Dolcetta, Italo 4 2008 A generalized Hopf-Lax formula: analytical and approximations aspects. Zbl 1195.35105Capuzzo Dolcetta, I. 2 2008 On the weak maximum principle for fully nonlinear elliptic PDEs in general unbounded domains. Zbl 1189.35094Capuzzo Dolcetta, Italo 2 2008 Gradient and Hölder estimates for positive solutions of Pucci type equations. Zbl 1145.35050Capuzzo Dolcetta, Italo; Vitolo, Antonio 2 2008 A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations. Zbl 1130.35051Dolcetta, I. Capuzzo; Vitolo, A. 16 2007 On the maximum principle for viscosity solutions of fully nonlinear elliptic equations in general domains. Zbl 1150.35031Capuzzo Dolcetta, Italo; Vitolo, A. 5 2007 The Alexandrov-Bakelman-Pucci weak maximum principle for fully nonlinear equations in unbounded domains. Zbl 1134.35359Capuzzo-Dolcetta, I.; Leoni, F.; Vitolo, A. 19 2005 Hadamard and Liouville type results for fully nonlinear partial differential inequalities. Zbl 1040.35024Capuzzo Dolcetta, I.; Cutrì, A. 18 2003 Representations of solutions of Hamilton-Jacobi equations. Zbl 1052.35052Capuzzo Dolcetta, Italo 6 2003 Area-preserving curve-shortening flows: From phase separation to image processing. Zbl 1021.35129Capuzzo Dolcetta, Italo; Finzi Vita, Stefano; March, Riccardo 40 2002 The Hopf solution of Hamilton-Jacobi equations. Zbl 1033.35021Capuzzo Dolcetta, Italo 8 2002 On the rate of convergence in homogenization of Hamilton-Jacobi equations. Zbl 1256.35003Capuzzo-Dolcetta, I.; Ishii, H. 19 2001 Optimal stopping time formulation of adaptive image filtering. Zbl 0988.68213Capuzzo Dolcetta, I.; Ferretti, R. 3 2001 Viscosity solutions. Zbl 1036.49032Capuzzo Dolcetta, Italo 1 2001 On the rate of convergence in homogenization of Hamilton-Jacobi equations. Zbl 0968.49019Capuzzo Dolcetta, I.; Ishii, H. 2 2000 Morse index and Liouville property for superlinear elliptic equations on the Heisenberg group. Zbl 1097.35045Capuzzo Dolcetta, Italo; Birindelli, Isabeau 1 2000 Indefinite semi-linear equations on the Heisenberg group: A priori bounds and existence. Zbl 0965.35019Birindelli, I.; Capuzzo Dolcetta, I. 22 1998 Liouville theorems and a priori estimates for semilinear elliptic equations. Zbl 1043.35039Capuzzo Dolcetta, Italo 1 1998 Hamilton-Jacobi-Bellman equations and optimal control. Zbl 0933.49018Capuzzo Dolcetta, Italo 1 1998 Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0890.49011Bardi, Martino; Capuzzo-Dolcetta, Italo 664 1997 Liouville theorems for semilinear equations on the Heisenberg group. Zbl 0876.35033Birindelli, I.; Capuzzo Dolcetta, I.; Cutrì, A. 37 1997 On the Liouville property for sub-Laplacians. Zbl 1042.35013Capuzzo Dolcetta, Italo; Cutrì, Alessandra 19 1997 A viscosity solutions approach to some asymptotic problems in optimal control. Zbl 0881.35013Bagagiolo, F.; Bardi, M.; Capuzzo Dolcetta, I. 8 1997 Viscosity solutions and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, June 12-20, 1995. Zbl 0868.00050Capuzzo Dolcetta, I. (ed.); Lions, P. L. (ed.) 4 1997 On some analogy between different approaches to first order PDE’s with non smooth coefficients. Zbl 0865.35032Capuzzo Dolcetta, I.; Perthame, B. 15 1996 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 105 1995 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 119 1994 Indefinite elliptic equations and nonlinear Liouville theorems. Zbl 0820.35056Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 14 1993 Hamilton-Jacobi equations with state constraints. Zbl 0702.49019Capuzzo-Dolcetta, I.; Lions, Pierre-Louis 82 1990 Discrete dynamic programming and viscosity solutions of the Bellman equation. Zbl 0674.49028Dolcetta, I. Capuzzo; Falcone, M. 19 1989 Hamilton-Jacobi equations with constraints. Zbl 0825.49041Capuzzo-Dolcetta, I. 4 1988 Finite element approximation of some indefinite elliptic problems. Zbl 0692.65052Capuzzo Dolcetta, I.; Finzi Vita, S. 3 1988 Asymptotic behavior of the first order obstacle problem. Zbl 0674.35011Capuzzo Dolcetta, I.; Menaldi, J. L. 2 1988 Oblique derivative problems and invariant measures. Zbl 0635.35020Capuzzo Dolcetta, Italo; Garroni, M. G. 10 1986 Optimal switching for ordinary differential equations. Zbl 0641.49017Capuzzo Dolcetta, I.; Evans, L. C. 57 1984 Approximate solutions of the Bellman equation of deterministic control theory. Zbl 0553.49024Capuzzo Dolcetta, I.; Ishii, H. 45 1984 Comportement asymptotique de la solution de problèmes non sous forme divergence avec condition de dérivée oblique sur le bord. (Asymptotic behaviour of the solution of some oblique derivative problems not in divergence form). Zbl 0574.35028Capuzzo Dolcetta, Italo; Garroni, Maria Giovanna 3 1984 On a system of first-order quasi-variational inequalities connected with the optimal switching problem. Zbl 0521.49008Capuzzo Dolcetta, I.; Matzeu, M.; Menaldi, J. L. 11 1983 Existence of weak solutions for some nonlinear problems by the Schauder method. Zbl 0521.35017Boccardo, L.; Capuzzo Dolcetta, I. 2 1982 On the dynamic programming inequalities associated with the deterministic optimal stopping problem in discrete and continuous time. Zbl 0476.49021Dolcetta, I. Capuzzo; Matzeu, M. 5 1981 A constructive approach to the deterministic stopping time problem. Zbl 0492.49013Capuzzo Dolcetta, Italo; Matzeu, Michele 3 1981 Duality for implicit variational problems and numerical applications. Zbl 0456.49011Capuzzo Dolcetta, I.; Matzeu, M. 8 1980 A degenerate complementarity system and applications to the optimal stopping of Markov chains. Zbl 0439.60039Dolcetta, Italo Capuzzo; Lorenzani, Massimo; Spizzichino, Fabio 5 1980 Nouveaux résultats d’existence, perturbation et homogeneisation de quelques problèmes non linéaires. Zbl 0404.49008Boccardo, L.; Dolcetta, I. Capuzzo; Matzeu, M. 1 1979 Stabilita delle soluzioni di disequazioni variazionali ellittiche e paraboliche quasi lineari. Zbl 0408.49011Boccardo, Lucio; Dolcetta, Italo Capuzzo 7 1978 Disequazioni quasi-variazionali con funzione d’ostacolo quasilimitata: esistenza di soluzioni e G-convergenza. Zbl 0399.49004Boccardo, L.; Dolcetta, I. Capuzzo 4 1978 Existence of a regular solution of a quasi-variational inequality in an unbounded domain. Zbl 0399.35002Capuzzo Dolcetta, I.; Vivaldi, M. A. 1 1978 On a partition of an Euclidean half-space. Zbl 0362.15009Capuzzo Dolcetta, Italo; Lorenzani, Massimo 1 1976 G-convergenza e problema di Dirichlet unilaterale. Zbl 0337.35023Boccardo, L.; Dolcetta, I. Capuzzo 12 1975 all cited Publications top 5 cited Publications all top 5 Cited by 1,561 Authors 27 Camilli, Fabio 27 Capuzzo Dolcetta, Italo 22 Barles, Guy 22 Gomes, Diogo Luís Aguiar 21 Ishii, Hitoshi 19 Zidani, Hasnaa 18 Achdou, Yves 18 Bardi, Martino 18 Cardaliaguet, Pierre 18 Vitolo, Antonio 17 Birindelli, Isabeau 15 Lions, Pierre-Louis 14 Cannarsa, Piermarco 14 Serea, Oana-Silvia 14 Siconolfi, Antonio 13 Bokanowski, Olivier 13 Bressan, Alberto 13 Cesaroni, Annalisa 13 Marchi, Claudio 13 Tran Vinh Hung 12 Falcone, Maurizio 12 Kunisch, Karl 12 Mitake, Hiroyoshi 12 Porretta, Alessio 11 Ley, Olivier 11 Quincampoix, Marc 11 Tchou, Nicoletta Anna 10 Boscaggin, Alberto 10 Grüne, Lars 10 Liu, Qing 10 López-Gómez, Julián 9 Bagagiolo, Fabio 9 Barron, Emmanuel Nicholas 9 García-Melián, Jorge 9 Lasry, Jean-Michel 9 Leoni, Fabiana 9 Perthame, Benoît 9 Quaas, Alexander 9 Silva, Francisco J. 8 Bayraktar, Erhan 8 Crasta, Graziano 8 Cutrì, Alessandra 8 Davini, Andrea 8 Demengel, Françoise 8 Feltrin, Guglielmo 8 Forcadel, Nicolas 8 Frankowska, Hélène 8 Galise, Giulio 8 Jakobsen, Espen Robstad 8 Kalise, Dante 8 Koike, Shigeaki 8 Miranville, Alain M. 8 Monneau, Régis 8 Świȩch, Andrzej 7 Ambrosio, Luigi 7 Bettiol, Piernicola 7 Chabrowski, Jan H. 7 Da Lio, Francesca 7 Fakih, Hussein 7 Gaitsgory, Vladimir A. 7 Gozzi, Fausto 7 Hermosilla, Cristopher 7 Mannucci, Paola 7 Menaldi, Jose-Luis 7 Mohammed, Ahmed 7 Nguyen, Khai T. 7 Soravia, Pierpaolo 7 Subbotina, Nina N. 7 Yong, Jiongmin 7 Zhang, Qi-Shuhuason 6 Alla, Alessandro 6 Bauso, Dario 6 Calder, Jeff 6 Chasseigne, Emmanuel 6 Cherfils, Laurence 6 Cristiani, Emiliano 6 Festa, Adriano 6 Goreac, Dan 6 Hamamuki, Nao 6 Il’yasov, Yavdat Shavkatovich 6 Kumkov, Sergey S. 6 Kurzhanskiĭ, Aleksandr Borisovich 6 McEneaney, William M. 6 Patsko, Valerii S. 6 Tellini, Andrea 6 Topp, Erwin 6 Uguzzoni, Francesco 6 Vinter, Richard B. 6 Zanolin, Fabio 5 Albano, Paolo 5 Armstrong, Scott N. 5 Averboukh, Yuriĭ Vladimirovich 5 Azcue, Pablo 5 Borkar, Vivek Shripad 5 Carlini, Elisabetta 5 Darbon, Jerome 5 Dower, Peter M. 5 Dykhta, Vladimir Aleksandrovich 5 Feng, Meiqiang 5 Ferretti, Roberto Giorgio ...and 1,461 more Authors all top 5 Cited in 263 Serials 87 Journal of Differential Equations 65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 64 Journal of Mathematical Analysis and Applications 59 Applied Mathematics and Optimization 44 Calculus of Variations and Partial Differential Equations 44 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 43 Journal of Optimization Theory and Applications 38 NoDEA. Nonlinear Differential Equations and Applications 38 Dynamic Games and Applications 34 Journal de Mathématiques Pures et Appliquées. Neuvième Série 33 SIAM Journal on Control and Optimization 32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Discrete and Continuous Dynamical Systems 23 Transactions of the American Mathematical Society 22 Communications in Partial Differential Equations 20 Automatica 20 Systems & Control Letters 19 Journal of Functional Analysis 18 Archive for Rational Mechanics and Analysis 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Journal of Scientific Computing 12 Applied Numerical Mathematics 12 Communications on Pure and Applied Analysis 11 Numerische Mathematik 11 Nonlinear Analysis. Theory, Methods & Applications 10 Applicable Analysis 10 Automation and Remote Control 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 SIAM Journal on Mathematical Analysis 9 Journal of Mathematical Sciences (New York) 9 Proceedings of the Steklov Institute of Mathematics 9 Discrete and Continuous Dynamical Systems. Series S 9 Journal of Dynamics and Games 8 Journal of Computational Physics 8 SIAM Journal on Numerical Analysis 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 SIAM Journal on Scientific Computing 8 Minimax Theory and its Applications 7 Journal of Computational and Applied Mathematics 7 Mathematische Annalen 7 Communications in Contemporary Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Complex Variables and Elliptic Equations 6 Journal of Global Optimization 6 Discrete and Continuous Dynamical Systems. Series B 6 Mediterranean Journal of Mathematics 6 Nonlinear Analysis. Hybrid Systems 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 Nonlinearity 5 Advances in Mathematics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Numerical Functional Analysis and Optimization 5 Rendiconti del Seminario Matematico della Università di Padova 5 Optimal Control Applications & Methods 5 Insurance Mathematics & Economics 5 The Annals of Applied Probability 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Stochastic Processes and their Applications 5 European Journal of Control 5 Nonlinear Analysis. Real World Applications 5 Advanced Nonlinear Studies 5 Set-Valued and Variational Analysis 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Statistical Physics 4 Mathematics of Computation 4 Applied Mathematics and Computation 4 Journal of Economic Theory 4 Proceedings of the American Mathematical Society 4 Ricerche di Matematica 4 Journal of Economic Dynamics & Control 4 Mathematical and Computer Modelling 4 International Journal of Adaptive Control and Signal Processing 4 Applied Mathematical Modelling 4 SIAM Journal on Applied Mathematics 4 International Journal of Robust and Nonlinear Control 4 Doklady Mathematics 4 Journal of Inequalities and Applications 4 Journal of the European Mathematical Society (JEMS) 4 Differential Equations 4 Networks and Heterogeneous Media 4 SIAM Journal on Imaging Sciences 4 Mathematical Control and Related Fields 4 Research in the Mathematical Sciences 3 Communications on Pure and Applied Mathematics 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 Prikladnaya Matematika i Mekhanika 3 International Journal of Game Theory 3 Journal of Mathematical Economics 3 Manuscripta Mathematica 3 Mathematics of Operations Research 3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Applicandae Mathematicae 3 Annals of Operations Research 3 European Journal of Operational Research 3 Journal of Dynamics and Differential Equations 3 Journal of Mathematical Imaging and Vision 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 163 more Serials all top 5 Cited in 42 Fields 779 Partial differential equations (35-XX) 682 Calculus of variations and optimal control; optimization (49-XX) 263 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 259 Systems theory; control (93-XX) 182 Numerical analysis (65-XX) 102 Probability theory and stochastic processes (60-XX) 101 Operations research, mathematical programming (90-XX) 99 Ordinary differential equations (34-XX) 63 Operator theory (47-XX) 48 Dynamical systems and ergodic theory (37-XX) 40 Global analysis, analysis on manifolds (58-XX) 34 Mechanics of particles and systems (70-XX) 33 Biology and other natural sciences (92-XX) 28 Real functions (26-XX) 22 Differential geometry (53-XX) 22 Computer science (68-XX) 20 Mechanics of deformable solids (74-XX) 17 Statistical mechanics, structure of matter (82-XX) 13 Integral equations (45-XX) 12 Functional analysis (46-XX) 10 Fluid mechanics (76-XX) 9 Topological groups, Lie groups (22-XX) 9 Information and communication theory, circuits (94-XX) 8 Potential theory (31-XX) 7 Convex and discrete geometry (52-XX) 7 Optics, electromagnetic theory (78-XX) 6 General and overarching topics; collections (00-XX) 6 Statistics (62-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Measure and integration (28-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 4 Abstract harmonic analysis (43-XX) 3 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year