Edit Profile (opens in new tab) Gomes, Diogo Luís Aguiar Compute Distance To: Compute Author ID: gomes.diogo-luis-aguiar Published as: Gomes, Diogo A.; Gomes, Diogo; Gomes, Diogo Aguiar; Gomes, D.; Gomes, D. A.; Aguiar Gomes, Diogo Luís; Gomes, Diogo Luís Aguiar; Aguiar Gomes, Diogo more...less External Links: ORCID Documents Indexed: 104 Publications since 1998, including 4 Books 1 Contribution as Editor Co-Authors: 89 Co-Authors with 90 Joint Publications 1,108 Co-Co-Authors all top 5 Co-Authors 15 single-authored 10 Ferreira, Rita 8 Nurbekyan, Levon 8 Voskanyan, Vardan K. 7 Pimentel, Edgard A. 6 Sánchez-Morgado, Héctor 6 Tran Vinh Hung 5 Mitake, Hiroyoshi 5 Mohr, Joana 4 Cagnetti, Filippo 4 Lopes, Artur Oscar 4 Saúde, João 3 Almeida, Carlos A. S. 3 Evangelista, David 3 Evans, Lawrence Craig 3 Patrizi, Stefania 3 Sedjro, Marc 3 Souza, Rafael Rigão 3 Tada, Teruo 3 Valdinoci, Enrico 3 Valls Anglés, Cláudia 3 Yang, Xianjin 2 Aguiar, Rui L. 2 Bakaryan, Tigran K. 2 Festa, Adriano 2 Iturriaga, Renato 2 Lima, Francisco Cleiton Estevao 2 Oberman, Adam M. 2 Prazeres, Mariana 2 Ribeiro, Ricardo 2 Seneci, Tommaso 2 Terai, Kengo 2 Terrone, Gabriele 2 Velho, Roberto M. 1 Aguiar, António Pedro 1 Almayouf, Nojood 1 Almulla, Noha 1 Antunes, Mário 1 Bachini, Elena 1 Baker, Nigel 1 Barkhudaryan, Rafayel H. 1 Biryuk, Andrei Eduardovich 1 Camilli, Fabio 1 Capuzzo Dolcetta, Italo 1 Chapouto, Andreia 1 Cirant, Marco 1 Di Francesco, Marco 1 Duisembay, Serikbolsyn 1 Feleqi, Ermal 1 Fernandes, Sofia 1 Figalli, Alessio 1 Gutierrez, Julian 1 Ikram, Ahsan 1 Jordão, Daniela 1 Jung, Nara 1 Karagulyan, Avetik G. 1 Khanin, Konstantin M. 1 Maluf, Roberto V. 1 Marcon, Diego 1 Mateus, Paulo C. 1 Monasterio, Juan 1 Oliveira, Elismar R. 1 Padilla, Pablo 1 Pagliar, Giorgia 1 Panthee, Mahendra 1 Pequito, Sérgio 1 Piccirilli, Marco 1 Pires, Gabriel E. 1 Pratapsi, Sagar 1 Rasga, João 1 Romero, Orlando 1 Santos, Justino 1 Sargento, Susana 1 Sargsyan, Maria 1 Saúde, João Costeira 1 Sernadas, Amilcar C. 1 Sernadas, Cristina S. 1 Serra, António 1 Shahgholian, Henrik 1 Silva, Francisco J. 1 Silva, Jorge Drumond 1 Sinopoli, Bruno 1 Song, Chuliang 1 Sri, Kaust 1 Tomisaki, Ryota 1 Tonon, Daniela 1 Velasco-Perez, Hector 1 Wolfram, Marie-Therese 1 Yu, Yifeng 1 Zafar, Madiha all top 5 Serials 5 São Paulo Journal of Mathematical Sciences 4 Applied Mathematics and Optimization 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Dynamic Games and Applications 3 Annals of Physics 3 Calculus of Variations and Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Minimax Theory and its Applications 2 Archive for Rational Mechanics and Analysis 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Networks and Heterogeneous Media 2 Journal of Dynamics and Games 2 Publicações Matemáticas do IMPA 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Boletim da Sociedade Portuguesa de Matemática 1 Asymptotic Analysis 1 Machine Learning 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Mathematical Physics Electronic Journal 1 Izvestiya Natsional’noĭ Akademii Nauk Armenii. Matematika 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Dynamical Systems 1 Moscow Mathematical Journal 1 Portugaliae Mathematica. Nova Série 1 AMRX. Applied Mathematics Research eXpress 1 Computer Networks 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Involve 1 Texts in Mathematics 1 Proceedings of the Yerevan State University. Physical and Mathematical Sciences 1 SpringerBriefs in Mathematics 1 Mathematics in Engineering all top 5 Fields 57 Partial differential equations (35-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 8 Systems theory; control (93-XX) 5 Probability theory and stochastic processes (60-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 4 Mechanics of particles and systems (70-XX) 4 Operations research, mathematical programming (90-XX) 3 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 1,222 times in 477 Documents Cited by ▼ Year ▼ Mean field games models – a brief survey. Zbl 1314.91048Gomes, Diogo A.; Saúde, João 107 2014 Regularity theory for mean-field game systems. Zbl 1391.91003Gomes, Diogo A.; Pimentel, Edgard A.; Voskanyan, Vardan 69 2016 Discrete time, finite state space mean field games. Zbl 1192.91028Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão 62 2010 On the existence of classical solutions for stationary extended mean field games. Zbl 1284.49044Gomes, Diogo A.; Patrizi, Stefania; Voskanyan, Vardan 56 2014 Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056Evans, L. C.; Gomes, D. 47 2001 Continuous time finite state mean field games. Zbl 1283.91016Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão 47 2013 Time-dependent mean-field games in the subquadratic case. Zbl 1322.35053Gomes, Diogo A.; Pimentel, Edgard A.; Sánchez-Morgado, Héctor 42 2015 Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor 36 2016 A stochastic Evans-Aronsson problem. Zbl 1286.93203Gomes, Diogo; Morgado, Héctor Sánchez 31 2014 Socio-economic applications of finite state mean field games. Zbl 1353.91015Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese 30 2014 A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians. Zbl 1312.35020Cagnetti, Filippo; Gomes, Diogo; Mitake, Hiroyoshi; Tran, Hung V. 28 2015 Existence for stationary mean-field games with congestion and quadratic Hamiltonians. Zbl 1343.91003Gomes, Diogo A.; Mitake, Hiroyoshi 28 2015 A-priori estimates for stationary mean-field games. Zbl 1260.49071Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor 28 2012 One-dimensional stationary mean-field games with local coupling. Zbl 1397.91086Gomes, Diogo A.; Nurbekyan, Levon; Prazeres, Mariana 26 2018 A stochastic analogue of Aubry-Mather theory. Zbl 1073.37078Gomes, Diogo Aguiar 26 2002 Generalized Mather problem and selection principles for viscosity solutions and Mather measures. Zbl 1181.37090Gomes, Diogo Aguiar 25 2008 Time-dependent mean-field games with logarithmic nonlinearities. Zbl 1331.35009Gomes, Diogo A.; Pimentel, Edgard 25 2015 Extended deterministic mean-field games. Zbl 1343.49060Gomes, Diogo A.; Voskanyan, Vardan K. 25 2016 Two numerical approaches to stationary mean-field games. Zbl 1391.91024Almulla, Noha; Ferreira, Rita; Gomes, Diogo 23 2017 Computing the effective Hamiltonian using a variational approach. Zbl 1081.49024Gomes, Diogo A.; Oberman, Adam M. 21 2004 Short-time existence of solutions for mean-field games with congestion. Zbl 1338.35219Gomes, Diogo A.; Voskanyan, Vardan K. 21 2015 Viscosity solution methods and the discrete Aubry-Mather problem. Zbl 1080.49022Gomes, Diogo A. 18 2005 Existence of weak solutions to stationary mean-field games through variational inequalities. Zbl 1418.91087Ferreira, Rita; Gomes, Diogo 17 2018 Economic models and mean-field games theory. Paper from the 30th Brazilian mathematics colloquium – 30\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 26–31, 2015. Zbl 1335.91003Gomes, Diogo A.; Nurbekyan, Levon; Pimentel, Edgard A. 17 2015 Error estimates for the approximation of the effective Hamiltonian. Zbl 1140.49023Camilli, Fabio; Capuzzo Dolcetta, Italo; Gomes, Diogo A. 17 2008 Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039Evans, L. C.; Gomes, D. 16 2002 Obstacle mean-field game problem. Zbl 1327.35119Gomes, Diogo A.; Sri, Kaust; Patrizi, Stefania 14 2015 Adjoint methods for obstacle problems and weakly coupled systems of PDE. Zbl 1273.35090Cagnetti, Filippo; Gomes, Diogo; Tran, Hung Vinh 14 2013 Viscosity limit of stationary distributions for the random forced Burgers equation. Zbl 1115.35081Gomes, Diogo; Iturriaga, Renato; Khanin, Konstantin; Padilla, Pablo 14 2005 Mather measures selected by an approximation scheme. Zbl 1204.37063Gomes, Diogo; Iturriaga, Renato; Sánchez-Morgado, Héctor; Yu, Yifeng 14 2010 The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases. Zbl 1403.35082Gomes, Diogo A.; Mitake, Hiroyoshi; Tran, Hung V. 13 2018 First-order, stationary mean-field games with congestion. Zbl 1390.35075Evangelista, David; Ferreira, Rita; Gomes, Diogo A.; Nurbekyan, Levon; Voskanyan, Vardan 13 2018 Aubry-Mather measures in the nonconvex setting. Zbl 1258.35059Cagnetti, F.; Gomes, D.; Tran, H. V. 13 2011 A variational formulation for the Navier-Stokes equation. Zbl 1080.37083Gomes, Diogo Aguiar 13 2005 Local regularity for mean-field games in the whole space. Zbl 1339.35326Gomes, Diogo A.; Pimentel, Edgard 13 2016 Entropy penalization methods for Hamilton-Jacobi equations. Zbl 1119.70013Gomes, Diogo A.; Valdinoci, Enrico 13 2007 On the convergence of finite state mean-field games through \(\Gamma\)-convergence. Zbl 1304.91027Ferreira, Rita; Gomes, Diogo A. 12 2014 Extended mean field games. Zbl 1310.49008Gomes, D. A.; Voskanyan, V. K. 12 2013 Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143Evans, L. C.; Gomes, D. 12 2002 A mean-field game approach to price formation. Zbl 1475.91102Gomes, Diogo A.; Saúde, João 10 2021 Perturbation theory for viscosity solutions of Hamilton-Jacobi equations and stability of Aubry-Mather sets. Zbl 1034.37035Gomes, Diogo Aguiar 10 2003 Viscosity solutions of Hamilton-Jacobi equations, and asymptotics for Hamiltonian systems. Zbl 1005.49027Gomes, Diogo Aguiar 8 2002 Regularity theory for Hamilton–Jacobi equations. Zbl 1023.35028Aguiar Gomes, Diogo 8 2003 Duality principles for fully nonlinear elliptic equations. Zbl 1237.35053Gomes, Diogo Aguiar 8 2005 Displacement convexity for first-order mean-field games. Zbl 1419.91102Gomes, Diogo A.; Seneci, Tommaso 8 2018 On the existence of solutions for stationary mean-field games with congestion. Zbl 1403.35098Evangelista, David; Gomes, Diogo A. 7 2018 Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions. Zbl 1429.35078Ferreira, Rita; Gomes, Diogo; Tada, Teruo 7 2019 The mather measure and a large deviation principle for the entropy penalized method. Zbl 1219.37045Gomes, D. A.; Lopes, A. O.; Mohr, J. 7 2011 An introduction to the Aubry-Mather theory. Zbl 1243.49001Biryuk, Andrey; Gomes, Diogo A. 6 2010 Weakly coupled mean-field game systems. Zbl 1358.35200Gomes, Diogo A.; Patrizi, Stefania 6 2016 One-dimensional forward-forward mean-field games. Zbl 1371.49031Gomes, Diogo A.; Nurbekyan, Levon; Sedjro, Marc 6 2016 One-dimensional, forward-forward mean-field games with congestion. Zbl 1407.49036Gomes, Diogo; Sedjro, Marc 5 2018 On the minimizers of calculus of variations problems in Hilbert spaces. Zbl 1306.49009Gomes, Diogo; Nurbekyan, Levon 5 2015 Hamilton-Jacobi methods for vakonomic mechanics. Zbl 1135.37327Gomes, Diogo Aguiar 5 2007 Numerical methods for finite-state mean-field games satisfying a monotonicity condition. Zbl 1460.91030Gomes, Diogo A.; Saúde, João 4 2021 Some estimates for the planning problem with potential. Zbl 1461.91035Bakaryan, Tigran; Ferreira, Rita; Gomes, Diogo 4 2021 Systems of weakly coupled Hamilton-Jacobi equations with implicit obstacles. Zbl 1258.35062Gomes, Diogo; Serra, António 4 2012 An infinite-dimensional weak KAM theory via random variables. Zbl 1352.37174Gomes, Diogo; Nurbekyan, Levon 4 2016 The selection problem for some first-order stationary mean-field games. Zbl 1455.35261Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo 3 2020 Existence of weak solutions to time-dependent mean-field games. Zbl 1473.35226Ferreira, Rita; Gomes, Diogo; Tada, Teruo 3 2021 Convergence of a semi-discretization scheme for the Hamilton-Jacobi equation: a new approach with the adjoint method. Zbl 1314.65109Cagnetti, F.; Gomes, D.; Tran, H. V. 3 2013 Stability of rotating liquid films. Zbl 1036.76018Gomes, Diogo Aguiar 3 2002 Mather problem and viscosity solutions in the stationary setting. Zbl 1293.49061Gomes, Diogo A.; Oliveira, Elismar R. 3 2012 Some estimates for stationary extended mean field games. Zbl 1301.49101Voskanyan, V. K.; Gomes, D. 3 2013 Duality theory, representation formulas and uniqueness results for viscosity solutions of Hamilton-Jacobi equations. Zbl 1248.49039Gomes, Diogo A.; Valdinoci, Enrico 2 2011 Lack of integrability via viscosity solution methods. Zbl 1081.35023Gomes, Diogo A.; Valdinoci, Enrico 2 2004 Hypoelliptic mean field games – a case study. Zbl 1452.35069Feleqi, Ermal; Gomes, Diogo; Tada, Teruo 2 2020 Nonlinear estimation using mean field games. Zbl 1410.91043Pequito, Sergio; Aguiar, A. Pedro; Sinopoli, Bruno; Gomes, Diogo A. 2 2011 The hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures. Zbl 1472.65110Gomes, Diogo A.; Yang, Xianjin 2 2020 Wigner measures and quantum Aubry-Mather theory. Zbl 1216.81099Gomes, Diogo A.; Valls, Claudia 2 2007 Existence of positive solutions for an approximation of stationary mean-field games. Zbl 1354.49082Almayouf, Nojood; Bachini, Elena; Chapouto, Andreia; Ferreira, Rita; Gomes, Diogo; Jordão, Daniela; Evangelista, David; Karagulyan, Avetik; Monasterio, Juan; Nurbekyan, Levon; Pagliar, Giorgia; Piccirilli, Marco; Pratapsi, Sagar; Prazeres, Mariana; Reis, João; Rodrigues, André; Romero, Orlando; Sargsyan, Maria; Seneci, Tommaso; Song, Chuliang; Terai, Kengo; Tomisaki, Ryota; Velasco-Perez, Hector; Voskanyan, Vardan; Yang, Xianjin 2 2017 Weak KAM theory for a weakly coupled system of Hamilton-Jacobi equations. Zbl 1355.49023Figalli, Alessio; Gomes, Diogo; Marcon, Diego 2 2016 System of variational inequalities with interconnected obstacles. Zbl 1492.60101Barkhudaryan, R.; Gomes, D. A.; Shahgholian, H.; Salehi, M. 2 2022 Wigner measures and the semi-classical limit to the Aubry-Mather measure. Zbl 1259.49069Gomes, Diogo A.; Lopes, Artur O.; Mohr, Joana 1 2012 Viscosity solutions methods for converse KAM theory. Zbl 1156.37015Gomes, Diogo A.; Oberman, Adam 1 2008 Discrete time, finite state space mean field games. Zbl 1247.91019Gomes, Diogo A.; Mohr, Joana; Rigão Souza, Rafael 1 2011 Exponential decay or correlation for the stochastic process associated to the entropy penalized method. Zbl 1192.37087Gomes, Diogo A.; Lopes, Artur O. 1 2008 Exponential energy decay for the Kadomtsev-Petviashvili (KP-II) equation. Zbl 1291.35284Gomes, Diogo A.; Panthee, Mahendra 1 2011 Minimax probabilities for Aubry-Mather problems. Zbl 1204.37062Gomes, Diogo A.; Jung, Nara; Lopes, Artur O. 1 2010 System of variational inequalities with interconnected obstacles. Zbl 1492.60101Barkhudaryan, R.; Gomes, D. A.; Shahgholian, H.; Salehi, M. 2 2022 A mean-field game approach to price formation. Zbl 1475.91102Gomes, Diogo A.; Saúde, João 10 2021 Numerical methods for finite-state mean-field games satisfying a monotonicity condition. Zbl 1460.91030Gomes, Diogo A.; Saúde, João 4 2021 Some estimates for the planning problem with potential. Zbl 1461.91035Bakaryan, Tigran; Ferreira, Rita; Gomes, Diogo 4 2021 Existence of weak solutions to time-dependent mean-field games. Zbl 1473.35226Ferreira, Rita; Gomes, Diogo; Tada, Teruo 3 2021 The selection problem for some first-order stationary mean-field games. Zbl 1455.35261Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo 3 2020 Hypoelliptic mean field games – a case study. Zbl 1452.35069Feleqi, Ermal; Gomes, Diogo; Tada, Teruo 2 2020 The hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures. Zbl 1472.65110Gomes, Diogo A.; Yang, Xianjin 2 2020 Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions. Zbl 1429.35078Ferreira, Rita; Gomes, Diogo; Tada, Teruo 7 2019 One-dimensional stationary mean-field games with local coupling. Zbl 1397.91086Gomes, Diogo A.; Nurbekyan, Levon; Prazeres, Mariana 26 2018 Existence of weak solutions to stationary mean-field games through variational inequalities. Zbl 1418.91087Ferreira, Rita; Gomes, Diogo 17 2018 The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases. Zbl 1403.35082Gomes, Diogo A.; Mitake, Hiroyoshi; Tran, Hung V. 13 2018 First-order, stationary mean-field games with congestion. Zbl 1390.35075Evangelista, David; Ferreira, Rita; Gomes, Diogo A.; Nurbekyan, Levon; Voskanyan, Vardan 13 2018 Displacement convexity for first-order mean-field games. Zbl 1419.91102Gomes, Diogo A.; Seneci, Tommaso 8 2018 On the existence of solutions for stationary mean-field games with congestion. Zbl 1403.35098Evangelista, David; Gomes, Diogo A. 7 2018 One-dimensional, forward-forward mean-field games with congestion. Zbl 1407.49036Gomes, Diogo; Sedjro, Marc 5 2018 Two numerical approaches to stationary mean-field games. Zbl 1391.91024Almulla, Noha; Ferreira, Rita; Gomes, Diogo 23 2017 Existence of positive solutions for an approximation of stationary mean-field games. Zbl 1354.49082Almayouf, Nojood; Bachini, Elena; Chapouto, Andreia; Ferreira, Rita; Gomes, Diogo; Jordão, Daniela; Evangelista, David; Karagulyan, Avetik; Monasterio, Juan; Nurbekyan, Levon; Pagliar, Giorgia; Piccirilli, Marco; Pratapsi, Sagar; Prazeres, Mariana; Reis, João; Rodrigues, André; Romero, Orlando; Sargsyan, Maria; Seneci, Tommaso; Song, Chuliang; Terai, Kengo; Tomisaki, Ryota; Velasco-Perez, Hector; Voskanyan, Vardan; Yang, Xianjin 2 2017 Regularity theory for mean-field game systems. Zbl 1391.91003Gomes, Diogo A.; Pimentel, Edgard A.; Voskanyan, Vardan 69 2016 Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor 36 2016 Extended deterministic mean-field games. Zbl 1343.49060Gomes, Diogo A.; Voskanyan, Vardan K. 25 2016 Local regularity for mean-field games in the whole space. Zbl 1339.35326Gomes, Diogo A.; Pimentel, Edgard 13 2016 Weakly coupled mean-field game systems. Zbl 1358.35200Gomes, Diogo A.; Patrizi, Stefania 6 2016 One-dimensional forward-forward mean-field games. Zbl 1371.49031Gomes, Diogo A.; Nurbekyan, Levon; Sedjro, Marc 6 2016 An infinite-dimensional weak KAM theory via random variables. Zbl 1352.37174Gomes, Diogo; Nurbekyan, Levon 4 2016 Weak KAM theory for a weakly coupled system of Hamilton-Jacobi equations. Zbl 1355.49023Figalli, Alessio; Gomes, Diogo; Marcon, Diego 2 2016 Time-dependent mean-field games in the subquadratic case. Zbl 1322.35053Gomes, Diogo A.; Pimentel, Edgard A.; Sánchez-Morgado, Héctor 42 2015 A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians. Zbl 1312.35020Cagnetti, Filippo; Gomes, Diogo; Mitake, Hiroyoshi; Tran, Hung V. 28 2015 Existence for stationary mean-field games with congestion and quadratic Hamiltonians. Zbl 1343.91003Gomes, Diogo A.; Mitake, Hiroyoshi 28 2015 Time-dependent mean-field games with logarithmic nonlinearities. Zbl 1331.35009Gomes, Diogo A.; Pimentel, Edgard 25 2015 Short-time existence of solutions for mean-field games with congestion. Zbl 1338.35219Gomes, Diogo A.; Voskanyan, Vardan K. 21 2015 Economic models and mean-field games theory. Paper from the 30th Brazilian mathematics colloquium – 30\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 26–31, 2015. Zbl 1335.91003Gomes, Diogo A.; Nurbekyan, Levon; Pimentel, Edgard A. 17 2015 Obstacle mean-field game problem. Zbl 1327.35119Gomes, Diogo A.; Sri, Kaust; Patrizi, Stefania 14 2015 On the minimizers of calculus of variations problems in Hilbert spaces. Zbl 1306.49009Gomes, Diogo; Nurbekyan, Levon 5 2015 Mean field games models – a brief survey. Zbl 1314.91048Gomes, Diogo A.; Saúde, João 107 2014 On the existence of classical solutions for stationary extended mean field games. Zbl 1284.49044Gomes, Diogo A.; Patrizi, Stefania; Voskanyan, Vardan 56 2014 A stochastic Evans-Aronsson problem. Zbl 1286.93203Gomes, Diogo; Morgado, Héctor Sánchez 31 2014 Socio-economic applications of finite state mean field games. Zbl 1353.91015Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese 30 2014 On the convergence of finite state mean-field games through \(\Gamma\)-convergence. Zbl 1304.91027Ferreira, Rita; Gomes, Diogo A. 12 2014 Continuous time finite state mean field games. Zbl 1283.91016Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão 47 2013 Adjoint methods for obstacle problems and weakly coupled systems of PDE. Zbl 1273.35090Cagnetti, Filippo; Gomes, Diogo; Tran, Hung Vinh 14 2013 Extended mean field games. Zbl 1310.49008Gomes, D. A.; Voskanyan, V. K. 12 2013 Convergence of a semi-discretization scheme for the Hamilton-Jacobi equation: a new approach with the adjoint method. Zbl 1314.65109Cagnetti, F.; Gomes, D.; Tran, H. V. 3 2013 Some estimates for stationary extended mean field games. Zbl 1301.49101Voskanyan, V. K.; Gomes, D. 3 2013 A-priori estimates for stationary mean-field games. Zbl 1260.49071Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor 28 2012 Systems of weakly coupled Hamilton-Jacobi equations with implicit obstacles. Zbl 1258.35062Gomes, Diogo; Serra, António 4 2012 Mather problem and viscosity solutions in the stationary setting. Zbl 1293.49061Gomes, Diogo A.; Oliveira, Elismar R. 3 2012 Wigner measures and the semi-classical limit to the Aubry-Mather measure. Zbl 1259.49069Gomes, Diogo A.; Lopes, Artur O.; Mohr, Joana 1 2012 Aubry-Mather measures in the nonconvex setting. Zbl 1258.35059Cagnetti, F.; Gomes, D.; Tran, H. V. 13 2011 The mather measure and a large deviation principle for the entropy penalized method. Zbl 1219.37045Gomes, D. A.; Lopes, A. O.; Mohr, J. 7 2011 Duality theory, representation formulas and uniqueness results for viscosity solutions of Hamilton-Jacobi equations. Zbl 1248.49039Gomes, Diogo A.; Valdinoci, Enrico 2 2011 Nonlinear estimation using mean field games. Zbl 1410.91043Pequito, Sergio; Aguiar, A. Pedro; Sinopoli, Bruno; Gomes, Diogo A. 2 2011 Discrete time, finite state space mean field games. Zbl 1247.91019Gomes, Diogo A.; Mohr, Joana; Rigão Souza, Rafael 1 2011 Exponential energy decay for the Kadomtsev-Petviashvili (KP-II) equation. Zbl 1291.35284Gomes, Diogo A.; Panthee, Mahendra 1 2011 Discrete time, finite state space mean field games. Zbl 1192.91028Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão 62 2010 Mather measures selected by an approximation scheme. Zbl 1204.37063Gomes, Diogo; Iturriaga, Renato; Sánchez-Morgado, Héctor; Yu, Yifeng 14 2010 An introduction to the Aubry-Mather theory. Zbl 1243.49001Biryuk, Andrey; Gomes, Diogo A. 6 2010 Minimax probabilities for Aubry-Mather problems. Zbl 1204.37062Gomes, Diogo A.; Jung, Nara; Lopes, Artur O. 1 2010 Generalized Mather problem and selection principles for viscosity solutions and Mather measures. Zbl 1181.37090Gomes, Diogo Aguiar 25 2008 Error estimates for the approximation of the effective Hamiltonian. Zbl 1140.49023Camilli, Fabio; Capuzzo Dolcetta, Italo; Gomes, Diogo A. 17 2008 Viscosity solutions methods for converse KAM theory. Zbl 1156.37015Gomes, Diogo A.; Oberman, Adam 1 2008 Exponential decay or correlation for the stochastic process associated to the entropy penalized method. Zbl 1192.37087Gomes, Diogo A.; Lopes, Artur O. 1 2008 Entropy penalization methods for Hamilton-Jacobi equations. Zbl 1119.70013Gomes, Diogo A.; Valdinoci, Enrico 13 2007 Hamilton-Jacobi methods for vakonomic mechanics. Zbl 1135.37327Gomes, Diogo Aguiar 5 2007 Wigner measures and quantum Aubry-Mather theory. Zbl 1216.81099Gomes, Diogo A.; Valls, Claudia 2 2007 Viscosity solution methods and the discrete Aubry-Mather problem. Zbl 1080.49022Gomes, Diogo A. 18 2005 Viscosity limit of stationary distributions for the random forced Burgers equation. Zbl 1115.35081Gomes, Diogo; Iturriaga, Renato; Khanin, Konstantin; Padilla, Pablo 14 2005 A variational formulation for the Navier-Stokes equation. Zbl 1080.37083Gomes, Diogo Aguiar 13 2005 Duality principles for fully nonlinear elliptic equations. Zbl 1237.35053Gomes, Diogo Aguiar 8 2005 Computing the effective Hamiltonian using a variational approach. Zbl 1081.49024Gomes, Diogo A.; Oberman, Adam M. 21 2004 Lack of integrability via viscosity solution methods. Zbl 1081.35023Gomes, Diogo A.; Valdinoci, Enrico 2 2004 Perturbation theory for viscosity solutions of Hamilton-Jacobi equations and stability of Aubry-Mather sets. Zbl 1034.37035Gomes, Diogo Aguiar 10 2003 Regularity theory for Hamilton–Jacobi equations. Zbl 1023.35028Aguiar Gomes, Diogo 8 2003 A stochastic analogue of Aubry-Mather theory. Zbl 1073.37078Gomes, Diogo Aguiar 26 2002 Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039Evans, L. C.; Gomes, D. 16 2002 Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143Evans, L. C.; Gomes, D. 12 2002 Viscosity solutions of Hamilton-Jacobi equations, and asymptotics for Hamiltonian systems. Zbl 1005.49027Gomes, Diogo Aguiar 8 2002 Stability of rotating liquid films. Zbl 1036.76018Gomes, Diogo Aguiar 3 2002 Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056Evans, L. C.; Gomes, D. 47 2001 all cited Publications top 5 cited Publications all top 5 Cited by 483 Authors 50 Gomes, Diogo Luís Aguiar 21 Tran Vinh Hung 19 Mitake, Hiroyoshi 16 Cirant, Marco 14 Cardaliaguet, Pierre 13 Camilli, Fabio 11 Laurière, Mathieu 11 Lopes, Artur Oscar 11 Nurbekyan, Levon 11 Porretta, Alessio 10 Kolokoltsov, Vassili N. 10 Silva, Francisco J. 9 Achdou, Yves 9 Ferreira, Rita 8 Mészáros, Alpár Richárd 8 Pimentel, Edgard A. 7 Carmona, René A. 7 Delarue, François 7 Huang, Minyi 7 Ishii, Hitoshi 7 Marchi, Claudio 7 Sánchez-Morgado, Héctor 7 Yan, Jun 7 Yu, Yifeng 7 Zanelli, Lorenzo 6 Bakhtin, Yuri Yu. 6 Cacace, Simone 6 Cecchin, Alekos 6 Cesaroni, Annalisa 6 Wang, Bingchang 5 Ambrose, David M. 5 Bauso, Dario 5 Bayraktar, Erhan 5 Bensoussan, Alain 5 Cheng, Wei 5 Gangbo, Wilfrid 5 Goffi, Alessandro 5 Mohr, Joana 5 Saldi, Naci 5 Voskanyan, Vardan K. 5 Zhang, Shuhua 4 Başar, Tamer 4 Bertucci, Charles 4 Bessi, Ugo 4 Cohen, Asaf 4 Davini, Andrea 4 Evans, Lawrence Craig 4 Fujii, Masaaki 4 Garibaldi, Eduardo 4 Lacker, Daniel 4 Li, Wuchen 4 Lions, Pierre-Louis 4 Mannucci, Paola 4 Mazanti, Guilherme 4 Osher, Stanley Joel 4 Santambrogio, Filippo 4 Saúde, João 4 Shaĭdurov, Vladimir Victorovich 4 Souza, Rafael Rigão 4 Thieullen, Philippe 4 Turinici, Gabriel 4 Wang, Kaizhi 4 Zavidovique, Maxime 4 Zhang, Huanshui 3 Bardi, Martino 3 Boritchev, Alexandre 3 Campi, Luciano 3 Cardin, Franco 3 Carlini, Elisabetta 3 Chen, Qinbo 3 Dai Pra, Paolo 3 Feleqi, Ermal 3 Higuera-Chan, Carmen G. 3 Iturriaga, Renato 3 Jin, Liang 3 Khanin, Konstantin M. 3 Kobeissi, Ziad 3 Lasry, Jean-Michel 3 Liang, Yong 3 Liang, Zhenguo 3 Liu, Siting 3 Mengue, Jairo K. 3 Minjárez-Sosa, J. Adolfo 3 Mou, Chenchen 3 Neumann, Berenice Anne 3 Oliveira, Elismar R. 3 Parmeggiani, Alberto 3 Raginsky, Maxim 3 Siconolfi, Antonio 3 Tada, Teruo 3 Takahashi, Akihiko 3 Tang, Qing 3 Tembine, Hamidou 3 Tolotti, Marco 3 Tonon, Daniela 3 Troeva, Marianna S. 3 Wang, Lin 3 Yang, Xianjin 2 Ahuja, Saran 2 Aquilanti, Laura ...and 383 more Authors all top 5 Cited in 139 Serials 29 Applied Mathematics and Optimization 24 Dynamic Games and Applications 21 SIAM Journal on Control and Optimization 17 Journal of Differential Equations 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 NoDEA. Nonlinear Differential Equations and Applications 15 Calculus of Variations and Partial Differential Equations 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Annales de l’Institut Henri Poincaré. 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Series A 2 The Journal of Fourier Analysis and Applications 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Contemporary Mathematics 2 Annales Henri Poincaré 2 Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematics and Financial Economics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Mathematics in Engineering 2 SN Partial Differential Equations and Applications 1 Classical and Quantum Gravity 1 International Journal of Control 1 Journal of Fluid Mechanics 1 Moscow University Mathematics Bulletin 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 Archiv der Mathematik 1 Indiana University Mathematics Journal 1 International Journal of Game Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Ricerche di Matematica 1 Mathematical Social Sciences 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Physica D 1 Probability Theory and Related Fields 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 Numerical Algorithms 1 Geometric and Functional Analysis. GAFA 1 European Journal of Operational Research 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics ...and 39 more Serials all top 5 Cited in 35 Fields 276 Partial differential equations (35-XX) 229 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 200 Calculus of variations and optimal control; optimization (49-XX) 81 Probability theory and stochastic processes (60-XX) 78 Dynamical systems and ergodic theory (37-XX) 62 Systems theory; control (93-XX) 56 Numerical analysis (65-XX) 24 Operations research, mathematical programming (90-XX) 23 Fluid mechanics (76-XX) 19 Mechanics of particles and systems (70-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Quantum theory (81-XX) 11 Biology and other natural sciences (92-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Operator theory (47-XX) 6 Computer science (68-XX) 5 Ordinary differential equations (34-XX) 4 Measure and integration (28-XX) 4 Integral equations (45-XX) 3 Real functions (26-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year