Edit Profile (opens in new tab) Capuzzo Dolcetta, Italo Compute Distance To: Compute Author ID: capuzzo-dolcetta.italo Published as: Capuzzo Dolcetta, Italo; Capuzzo Dolcetta, I.; Dolcetta, Italo Capuzzo; Capuzzo-Dolcetta, Italo; Dolcetta, I. Capuzzo; Capuzzo-Dolcetta, I.; Dolcetta Capuzzo, Italo; Dolcetta, I. C. more...less External Links: MGP · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 87 Publications since 1975, including 2 Books 6 Contributions as Editor Reviewing Activity: 1 Review Co-Authors: 34 Co-Authors with 73 Joint Publications 1,176 Co-Co-Authors all top 5 Co-Authors 19 single-authored 16 Vitolo, Antonio 7 Leoni, Fabiana 6 Achdou, Yves 6 Boccardo, Lucio 6 Camilli, Fabio 6 Matzeu, Michele 5 Bardi, Martino 5 Birindelli, Isabeau 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 Buttazzo, Giuseppe 1 Dechamps, Myriam 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 3 Journal of Mathematical Sciences (New York) 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 Convex Analysis 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 1 Mathematics in Engineering all top 5 Fields 67 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) 6 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 70 Publications have been cited 2,036 times in 1,609 Documents Cited by ▼ Year ▼ Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0890.49011Bardi, Martino; Capuzzo-Dolcetta, Italo 728 1997 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 129 1994 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 119 1995 Mean field games: numerical methods. Zbl 1217.91019Achdou, Yves; Capuzzo-Dolcetta, Italo 100 2010 Hamilton-Jacobi equations with state constraints. Zbl 0702.49019Capuzzo-Dolcetta, I.; Lions, Pierre-Louis 89 1990 Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Reprint of the 1997 original. Zbl 1134.49022Bardi, Martino; Capuzzo-Dolcetta, Italo 80 2008 Mean field games: numerical methods for the planning problem. Zbl 1242.91014Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo 64 2012 Optimal switching for ordinary differential equations. Zbl 0641.49017Capuzzo Dolcetta, I.; Evans, L. C. 54 1984 Approximate solutions of the Bellman equation of deterministic control theory. Zbl 0553.49024Capuzzo Dolcetta, I.; Ishii, H. 48 1984 Area-preserving curve-shortening flows: From phase separation to image processing. Zbl 1021.35129Capuzzo Dolcetta, Italo; Finzi Vita, Stefano; March, Riccardo 47 2002 Hölder estimates for degenerate elliptic equations with coercive Hamiltonians. Zbl 1198.35110Capuzzo Dolcetta, I.; Leoni, F.; Porretta, A. 42 2010 Liouville theorems for semilinear equations on the Heisenberg group. Zbl 0876.35033Birindelli, I.; Capuzzo Dolcetta, I.; Cutrì, A. 41 1997 Mean field games: convergence of a finite difference method. Zbl 1286.91022Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo 35 2013 On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\). Zbl 1342.35116Capuzzo Dolcetta, Italo; Leoni, Fabiana; Vitolo, Antonio 33 2016 The Alexandrov-Bakelman-Pucci weak maximum principle for fully nonlinear equations in unbounded domains. Zbl 1134.35359Capuzzo-Dolcetta, I.; Leoni, F.; Vitolo, A. 25 2005 Indefinite semi-linear equations on the Heisenberg group: A priori bounds and existence. Zbl 0965.35019Birindelli, I.; Capuzzo Dolcetta, I. 22 1998 On the Liouville property for sub-Laplacians. Zbl 1042.35013Capuzzo Dolcetta, Italo; Cutrì, Alessandra 21 1997 On the rate of convergence in homogenization of Hamilton-Jacobi equations. Zbl 1256.35003Capuzzo-Dolcetta, I.; Ishii, H. 21 2001 Maximum principle and generalized principal eigenvalue for degenerate elliptic operators. Zbl 1323.35123Berestycki, Henri; Capuzzo Dolcetta, Italo; Porretta, Alessio; Rossi, Luca 21 2015 Discrete dynamic programming and viscosity solutions of the Bellman equation. Zbl 0674.49028Dolcetta, I. Capuzzo; Falcone, M. 20 1989 A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations. Zbl 1130.35051Dolcetta, I. Capuzzo; Vitolo, A. 19 2007 Hadamard and Liouville type results for fully nonlinear partial differential inequalities. Zbl 1040.35024Capuzzo Dolcetta, I.; Cutrì, A. 18 2003 On some analogy between different approaches to first order PDE’s with non smooth coefficients. Zbl 0865.35032Capuzzo Dolcetta, I.; Perthame, B. 16 1996 Error estimates for the approximation of the effective Hamiltonian. Zbl 1140.49023Camilli, Fabio; Capuzzo Dolcetta, Italo; Gomes, Diogo A. 16 2008 Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 15 1993 Entire subsolutions of fully nonlinear degenerate elliptic equations. Zbl 1304.35297Dolcetta, Italo Capuzzo; Leoni, Fabiana; Vitolo, Antonio 13 2014 ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains. Zbl 1344.35036Birindelli, I.; Dolcetta, I. Capuzzo; Vitolo, A. 12 2016 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 The weak maximum principle for degenerate elliptic operators in unbounded domains. Zbl 1407.35038Capuzzo Dolcetta, Italo; Vitolo, Antonio 11 2018 Oblique derivative problems and invariant measures. Zbl 0635.35020Capuzzo Dolcetta, Italo; Garroni, M. G. 10 1986 Homogenization of Hamilton-Jacobi equations: Numerical methods. Zbl 1155.65072Achdou, Yves; Camilli, Fabio; Dolcetta, Italo Capuzzo 10 2008 Glaeser’s type gradient estimates for non-negative solutions of fully nonlinear elliptic equations. Zbl 1193.35043Dolcetta, Italo Capuzzo; Vitolo, Antonio 9 2010 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 The Hopf solution of Hamilton-Jacobi equations. Zbl 1033.35021Capuzzo Dolcetta, Italo 7 2002 Stabilita delle soluzioni di disequazioni variazionali ellittiche e paraboliche quasi lineari. Zbl 0408.49011Boccardo, Lucio; Dolcetta, Italo Capuzzo 7 1978 Representations of solutions of Hamilton-Jacobi equations. Zbl 1052.35052Capuzzo Dolcetta, Italo 7 2003 Preface: DGAA special issue on mean field games. Zbl 1304.00024 6 2013 A degenerate complementarity system and applications to the optimal stopping of Markov chains. Zbl 0439.60039Dolcetta, Italo Capuzzo; Lorenzani, Massimo; Spizzichino, Fabio 6 1980 Directional ellipticity on special domains: weak maximum and Phragmén-Lindelöf principles. Zbl 1421.35105Dolcetta, Italo Capuzzo; Vitolo, Antonio 6 2019 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 On the maximum principle for viscosity solutions of fully nonlinear elliptic equations in general domains. Zbl 1150.35031Capuzzo Dolcetta, Italo; Vitolo, A. 5 2007 Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group. Zbl 1153.65083Achdou, Yves; Capuzzo-Dolcetta, Italo 5 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 0868.00050 4 1997 Disequazioni quasi-variazionali con funzione d’ostacolo quasilimitata: esistenza di soluzioni e G-convergenza. Zbl 0399.49004Boccardo, L.; Dolcetta, I. Capuzzo 4 1978 Hamilton-Jacobi equations with constraints. Zbl 0825.49041Capuzzo-Dolcetta, I. 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 Preface: DGAA 2nd special issue on mean field games. Zbl 1304.00025 3 2014 Optimal stopping time formulation of adaptive image filtering. Zbl 0988.68213Capuzzo Dolcetta, I.; Ferretti, R. 3 2001 \(C^{1,\alpha}\) and Glaeser type estimates. Zbl 1196.35061Capuzzo Dolcetta, Italo; Vitolo, Antonio 3 2009 A constructive approach to the deterministic stopping time problem. Zbl 0492.49013Capuzzo Dolcetta, Italo; Matzeu, Michele 3 1981 Gradient and Hölder estimates for positive solutions of Pucci type equations. Zbl 1145.35050Capuzzo Dolcetta, Italo; Vitolo, Antonio 3 2008 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 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 a partition of an Euclidean half-space. Zbl 0362.15009Capuzzo Dolcetta, Italo; Lorenzani, Massimo 2 1976 Morse index and Liouville property for superlinear elliptic equations on the Heisenberg group. Zbl 1097.35045Capuzzo Dolcetta, Italo; Birindelli, Isabeau 2 2000 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 On the rate of convergence in homogenization of Hamilton-Jacobi equations. Zbl 0968.49019Capuzzo Dolcetta, I.; Ishii, H. 2 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 Existence of weak solutions for some nonlinear problems by the Schauder method. Zbl 0521.35017Boccardo, L.; Capuzzo Dolcetta, I. 1 1982 Existence of a regular solution of a quasi-variational inequality in an unbounded domain. Zbl 0399.35002Capuzzo Dolcetta, I.; Vivaldi, M. A. 1 1978 Nouveaux résultats d’existence, perturbation et homogeneisation de quelques problèmes non linéaires. Zbl 0404.49008Boccardo, L.; Dolcetta, I. Capuzzo; Matzeu, M. 1 1979 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 1282.91011 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 On some degenerate elliptic equations arising in geometric problems. Zbl 1402.35112Capuzzo Dolcetta, I.; Leoni, F.; Vitolo, A. 1 2018 Directional ellipticity on special domains: weak maximum and Phragmén-Lindelöf principles. Zbl 1421.35105Dolcetta, Italo Capuzzo; Vitolo, Antonio 6 2019 The weak maximum principle for degenerate elliptic operators in unbounded domains. Zbl 1407.35038Capuzzo Dolcetta, Italo; Vitolo, Antonio 11 2018 On some degenerate elliptic equations arising in geometric problems. Zbl 1402.35112Capuzzo Dolcetta, I.; Leoni, F.; Vitolo, A. 1 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 33 2016 ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains. Zbl 1344.35036Birindelli, I.; Dolcetta, I. Capuzzo; Vitolo, A. 12 2016 Maximum principle and generalized principal eigenvalue for degenerate elliptic operators. Zbl 1323.35123Berestycki, Henri; Capuzzo Dolcetta, Italo; Porretta, Alessio; Rossi, Luca 21 2015 Entire subsolutions of fully nonlinear degenerate elliptic equations. Zbl 1304.35297Dolcetta, Italo Capuzzo; Leoni, Fabiana; Vitolo, Antonio 13 2014 Preface: DGAA 2nd special issue on mean field games. Zbl 1304.00025 3 2014 Mean field games: convergence of a finite difference method. Zbl 1286.91022Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo 35 2013 Preface: DGAA special issue on mean field games. Zbl 1304.00024 6 2013 Mean field games: numerical methods for the planning problem. Zbl 1242.91014Achdou, Yves; Camilli, Fabio; Capuzzo-Dolcetta, Italo 64 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 1282.91011 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 100 2010 Hölder estimates for degenerate elliptic equations with coercive Hamiltonians. Zbl 1198.35110Capuzzo Dolcetta, I.; Leoni, F.; Porretta, A. 42 2010 Glaeser’s type gradient estimates for non-negative solutions of fully nonlinear elliptic equations. Zbl 1193.35043Dolcetta, Italo Capuzzo; Vitolo, Antonio 9 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 80 2008 Error estimates for the approximation of the effective Hamiltonian. Zbl 1140.49023Camilli, Fabio; Capuzzo Dolcetta, Italo; Gomes, Diogo A. 16 2008 Homogenization of Hamilton-Jacobi equations: Numerical methods. Zbl 1155.65072Achdou, Yves; Camilli, Fabio; Dolcetta, Italo Capuzzo 10 2008 Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group. Zbl 1153.65083Achdou, Yves; Capuzzo-Dolcetta, Italo 5 2008 Gradient and Hölder estimates for positive solutions of Pucci type equations. Zbl 1145.35050Capuzzo Dolcetta, Italo; Vitolo, Antonio 3 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 A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations. Zbl 1130.35051Dolcetta, I. Capuzzo; Vitolo, A. 19 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. 25 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 7 2003 Area-preserving curve-shortening flows: From phase separation to image processing. Zbl 1021.35129Capuzzo Dolcetta, Italo; Finzi Vita, Stefano; March, Riccardo 47 2002 The Hopf solution of Hamilton-Jacobi equations. Zbl 1033.35021Capuzzo Dolcetta, Italo 7 2002 On the rate of convergence in homogenization of Hamilton-Jacobi equations. Zbl 1256.35003Capuzzo-Dolcetta, I.; Ishii, H. 21 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 Morse index and Liouville property for superlinear elliptic equations on the Heisenberg group. Zbl 1097.35045Capuzzo Dolcetta, Italo; Birindelli, Isabeau 2 2000 On the rate of convergence in homogenization of Hamilton-Jacobi equations. Zbl 0968.49019Capuzzo Dolcetta, I.; Ishii, H. 2 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 728 1997 Liouville theorems for semilinear equations on the Heisenberg group. Zbl 0876.35033Birindelli, I.; Capuzzo Dolcetta, I.; Cutrì, A. 41 1997 On the Liouville property for sub-Laplacians. Zbl 1042.35013Capuzzo Dolcetta, Italo; Cutrì, Alessandra 21 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 0868.00050 4 1997 On some analogy between different approaches to first order PDE’s with non smooth coefficients. Zbl 0865.35032Capuzzo Dolcetta, I.; Perthame, B. 16 1996 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 119 1995 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 129 1994 Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 15 1993 Hamilton-Jacobi equations with state constraints. Zbl 0702.49019Capuzzo-Dolcetta, I.; Lions, Pierre-Louis 89 1990 Discrete dynamic programming and viscosity solutions of the Bellman equation. Zbl 0674.49028Dolcetta, I. Capuzzo; Falcone, M. 20 1989 Hamilton-Jacobi equations with constraints. Zbl 0825.49041Capuzzo-Dolcetta, I. 3 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. 54 1984 Approximate solutions of the Bellman equation of deterministic control theory. Zbl 0553.49024Capuzzo Dolcetta, I.; Ishii, H. 48 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. 1 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 6 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 2 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 1,700 Authors 31 Camilli, Fabio 30 Capuzzo Dolcetta, Italo 26 Gomes, Diogo Luís Aguiar 23 Barles, Guy 22 Ishii, Hitoshi 21 Vitolo, Antonio 20 Cardaliaguet, Pierre 20 Zidani, Hasnaa 19 Achdou, Yves 19 Birindelli, Isabeau 18 Bardi, Martino 18 Cannarsa, Piermarco 16 Lions, Pierre-Louis 15 Serea, Oana-Silvia 15 Tran Vinh Hung 14 Bokanowski, Olivier 14 Kunisch, Karl 14 Marchi, Claudio 14 Siconolfi, Antonio 13 Bressan, Alberto 13 Cesaroni, Annalisa 13 Miranville, Alain M. 13 Mitake, Hiroyoshi 13 Porretta, Alessio 12 Falcone, Maurizio 12 Grüne, Lars 12 López-Gómez, Julián 12 Quincampoix, Marc 12 Tchou, Nicoletta Anna 11 Bagagiolo, Fabio 11 Boscaggin, Alberto 11 Leoni, Fabiana 11 Quaas, Alexander 10 Demengel, Françoise 10 Galise, Giulio 10 Lasry, Jean-Michel 10 Ley, Olivier 10 Liu, Qing 10 Silva, Francisco J. 9 Barron, Emmanuel Nicholas 9 Bayraktar, Erhan 9 Davini, Andrea 9 Feltrin, Guglielmo 9 Frankowska, Hélène 9 Gaitsgory, Vladimir G. 9 García-Melián, Jorge 9 Kalise, Dante 9 Mohammed, Ahmed 9 Perthame, Benoît 9 Yong, Jiongmin 8 Cherfils, Laurence 8 Crasta, Graziano 8 Cutrì, Alessandra 8 Fakih, Hussein 8 Forcadel, Nicolas 8 Gozzi, Fausto 8 Jakobsen, Espen Robstad 8 Laurière, Mathieu 8 Mannucci, Paola 8 Monneau, Régis 8 Świȩch, Andrzej 8 Topp, Erwin 7 Ambrosio, Luigi 7 Averboukh, Yuriĭ Vladimirovich 7 Bettiol, Piernicola 7 Calder, Jeff 7 Chabrowski, Jan H. 7 Da Lio, Francesca 7 Dower, Peter M. 7 Feng, Meiqiang 7 Festa, Adriano 7 Goreac, Dan 7 Hamamuki, Nao 7 Koike, Shigeaki 7 McEneaney, William “Mac” M. 7 Menaldi, Jose-Luis 7 Nguyen, Khai T. 7 Osher, Stanley Joel 7 Soravia, Pierpaolo 7 Subbotina, Nina N. 7 Tellini, Andrea 7 Zanolin, Fabio 7 Zhang, Qi-Shuhuason 6 Albano, Paolo 6 Alla, Alessandro 6 Bauso, Dario 6 Borkar, Vivek Shripad 6 Cacace, Simone 6 Chasseigne, Emmanuel 6 Cristiani, Emiliano 6 Il’yasov, Yavdat Shavkatovich 6 Kumkov, Sergey S. 6 Kurzhanskiĭ, Aleksandr Borisovich 6 Marigonda, Antonio 6 Nurbekyan, Levon 6 Patsko, Valerii S. 6 Tyagi, Jagmohan 6 Uguzzoni, Francesco 6 Umezu, Kenichiro 6 Vinter, Richard B. ...and 1,600 more Authors all top 5 Cited in 289 Serials 98 Journal of Differential Equations 64 Journal of Mathematical Analysis and Applications 64 Applied Mathematics and Optimization 64 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 51 Calculus of Variations and Partial Differential Equations 48 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 43 Journal of Optimization Theory and Applications 43 NoDEA. Nonlinear Differential Equations and Applications 42 Dynamic Games and Applications 38 SIAM Journal on Control and Optimization 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 27 Discrete and Continuous Dynamical Systems 24 Transactions of the American Mathematical Society 23 Automatica 23 Communications in Partial Differential Equations 22 Journal of Scientific Computing 21 Systems & Control Letters 20 Journal of Functional Analysis 19 Archive for Rational Mechanics and Analysis 17 Communications on Pure and Applied Analysis 16 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Journal of Dynamics and Games 12 Journal of Computational Physics 12 Applied Numerical Mathematics 12 Journal of Mathematical Sciences (New York) 11 Numerische Mathematik 11 SIAM Journal on Mathematical Analysis 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Applicable Analysis 10 SIAM Journal on Numerical Analysis 10 Automation and Remote Control 10 Proceedings of the Steklov Institute of Mathematics 10 Discrete and Continuous Dynamical Systems. Series S 9 SIAM Journal on Scientific Computing 9 Discrete and Continuous Dynamical Systems. Series B 9 Nonlinear Analysis. Theory, Methods & Applications 8 Journal of Computational and Applied Mathematics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Communications in Contemporary Mathematics 8 Nonlinear Analysis. Real World Applications 8 Complex Variables and Elliptic Equations 8 Minimax Theory and its Applications 7 Mathematische Annalen 6 Nonlinearity 6 Advances in Mathematics 6 Applied Mathematics and Computation 6 Journal of Global Optimization 6 Advanced Nonlinear Studies 6 Mediterranean Journal of Mathematics 6 Nonlinear Analysis. Hybrid Systems 6 Mathematical Control and Related Fields 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 Mathematics of Computation 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Mathematics of Operations Research 5 Numerical Functional Analysis and Optimization 5 Proceedings of the American Mathematical Society 5 Rendiconti del Seminario Matematico della Università di Padova 5 Optimal Control Applications & Methods 5 Insurance Mathematics & Economics 5 Journal of Economic Dynamics & Control 5 The Annals of Applied Probability 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 European Journal of Control 5 Set-Valued and Variational Analysis 5 Research in the Mathematical Sciences 4 Computer Methods in Applied Mechanics and Engineering 4 International Journal of Control 4 Journal d’Analyse Mathématique 4 Journal of Statistical Physics 4 International Journal of Game Theory 4 Journal of Economic Theory 4 Ricerche di Matematica 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 Stochastic Processes and their Applications 4 International Journal of Robust and Nonlinear Control 4 Journal of Mathematical Imaging and Vision 4 Journal of Convex Analysis 4 Doklady Mathematics 4 Journal of Inequalities and Applications 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Nonlinear Science and Numerical Simulation 4 Lobachevskii Journal of Mathematics 4 Differential Equations 4 Journal of Evolution Equations 4 Milan Journal of Mathematics 4 Boundary Value Problems 4 Networks and Heterogeneous Media 4 SIAM Journal on Imaging Sciences 4 Advances in Nonlinear Analysis 3 Communications on Pure and Applied Mathematics 3 Mathematical Notes 3 Prikladnaya Matematika i Mekhanika 3 Journal of Mathematical Economics ...and 189 more Serials all top 5 Cited in 43 Fields 896 Partial differential equations (35-XX) 751 Calculus of variations and optimal control; optimization (49-XX) 309 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 283 Systems theory; control (93-XX) 216 Numerical analysis (65-XX) 117 Operations research, mathematical programming (90-XX) 116 Probability theory and stochastic processes (60-XX) 105 Ordinary differential equations (34-XX) 68 Operator theory (47-XX) 55 Dynamical systems and ergodic theory (37-XX) 44 Global analysis, analysis on manifolds (58-XX) 41 Biology and other natural sciences (92-XX) 38 Mechanics of particles and systems (70-XX) 32 Real functions (26-XX) 29 Computer science (68-XX) 24 Differential geometry (53-XX) 21 Mechanics of deformable solids (74-XX) 21 Statistical mechanics, structure of matter (82-XX) 14 Integral equations (45-XX) 14 Functional analysis (46-XX) 11 Fluid mechanics (76-XX) 9 Topological groups, Lie groups (22-XX) 9 Information and communication theory, circuits (94-XX) 8 Potential theory (31-XX) 8 Statistics (62-XX) 7 General and overarching topics; collections (00-XX) 7 Convex and discrete geometry (52-XX) 7 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 5 Difference and functional equations (39-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Geophysics (86-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year