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Gomes, Diogo Luís Aguiar

Author ID: gomes.diogo-luis-aguiar Recent zbMATH articles by "Gomes, Diogo Luís 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
External Links: ORCID
all top 5

Co-Authors

15 single-authored
10 Ferreira, Rita
10 Nurbekyan, Levon
8 Bakaryan, Tigran K.
8 Voskanyan, Vardan K.
7 Gutierrez, Julian
7 Pimentel, Edgard A.
7 Sánchez-Morgado, Héctor
7 Tran Vinh Hung
6 Mohr, Joana
5 Ashrafyan, Yuri A.
5 Cagnetti, Filippo
5 Mitake, Hiroyoshi
5 Saúde, João
4 Evangelista, David
4 Lopes, Artur Oscar
4 Ribeiro, Ricardo
4 Souza, Rafael Rigão
4 Velho, Roberto M.
3 Almeida, Carlos Alberto Santos
3 Evans, Lawrence Craig
3 Patrizi, Stefania
3 Sedjro, Marc
3 Tada, Teruo
3 Valdinoci, Enrico
3 Valls Anglés, Cláudia
3 Yang, Xianjin
2 Aguiar, Rui L.
2 Festa, Adriano
2 Iturriaga, Renato
2 Laurière, Mathieu
2 Lima, Francisco Cleiton Estevao
2 Oberman, Adam M.
2 Prazeres, Mariana
2 Seneci, Tommaso
2 Terai, Kengo
2 Terrone, Gabriele
2 Wolfram, Marie-Therese
1 Aguiar, António Pedro
1 Alharbi, Abdulrahman M.
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 Fazio, Giuseppe
1 Di Francesco, Marco
1 Duisembay, Serikbolsyn
1 Feleqi, Ermal
1 Fernandes, Sofia
1 Figalli, Alessio
1 Gomes, Alexandra A.
1 Ikram, Ahsan
1 Jordão, Daniela
1 Jung, Nara
1 Karagulyan, Avetik G.
1 Khanin, Konstantin M.
1 Lafleche, Laurent
1 Maluf, Roberto Vinhaes
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 Ricciardi, Michele
1 Romero, Orlando
1 Saleh, Fatimah Al
1 Salehi, Mohammad Mahdi
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 Yu, Yifeng
1 Zafar, Madiha
all top 5

Serials

5 Applied Mathematics and Optimization
5 São Paulo Journal of Mathematical Sciences
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
4 Minimax Theory and its Applications
3 Annals of Physics
3 Calculus of Variations and Partial Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Journal of Dynamics and Games
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 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 Communications in Mathematical Sciences
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Calculus of Variations
1 Involve
1 SIAM Journal on Financial Mathematics
1 Texts in Mathematics
1 Proceedings of the Yerevan State University. Physical and Mathematical Sciences
1 SpringerBriefs in Mathematics
1 Mathematics in Engineering

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 1,508 times in 599 Documents Cited by Year
Mean field games models – a brief survey. Zbl 1314.91048
Gomes, Diogo A.; Saúde, João
134
2014
Regularity theory for mean-field game systems. Zbl 1391.91003
Gomes, Diogo A.; Pimentel, Edgard A.; Voskanyan, Vardan
87
2016
Discrete time, finite state space mean field games. Zbl 1192.91028
Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão
79
2010
On the existence of classical solutions for stationary extended mean field games. Zbl 1284.49044
Gomes, Diogo A.; Patrizi, Stefania; Voskanyan, Vardan
67
2014
Continuous time finite state mean field games. Zbl 1283.91016
Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão
63
2013
Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056
Evans, L. C.; Gomes, D.
49
2001
Time-dependent mean-field games in the subquadratic case. Zbl 1322.35053
Gomes, Diogo A.; Pimentel, Edgard A.; Sánchez-Morgado, Héctor
45
2015
Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090
Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor
41
2016
Socio-economic applications of finite state mean field games. Zbl 1353.91015
Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese
35
2014
Extended deterministic mean-field games. Zbl 1343.49060
Gomes, Diogo A.; Voskanyan, Vardan K.
34
2016
Two numerical approaches to stationary mean-field games. Zbl 1391.91024
Almulla, Noha; Ferreira, Rita; Gomes, Diogo
33
2017
A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians. Zbl 1312.35020
Cagnetti, Filippo; Gomes, Diogo; Mitake, Hiroyoshi; Tran, Hung V.
32
2015
One-dimensional stationary mean-field games with local coupling. Zbl 1397.91086
Gomes, Diogo A.; Nurbekyan, Levon; Prazeres, Mariana
32
2018
Generalized Mather problem and selection principles for viscosity solutions and Mather measures. Zbl 1181.37090
Gomes, Diogo Aguiar
32
2008
A stochastic analogue of Aubry-Mather theory. Zbl 1073.37078
Gomes, Diogo Aguiar
31
2002
A stochastic Evans-Aronsson problem. Zbl 1286.93203
Gomes, Diogo; Morgado, Héctor Sánchez
31
2014
Existence for stationary mean-field games with congestion and quadratic Hamiltonians. Zbl 1343.91003
Gomes, Diogo A.; Mitake, Hiroyoshi
30
2015
A-priori estimates for stationary mean-field games. Zbl 1260.49071
Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor
28
2012
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 1335.91003
Gomes, Diogo A.; Nurbekyan, Levon; Pimentel, Edgard A.
28
2015
Time-dependent mean-field games with logarithmic nonlinearities. Zbl 1331.35009
Gomes, Diogo A.; Pimentel, Edgard
27
2015
Existence of weak solutions to stationary mean-field games through variational inequalities. Zbl 1418.91087
Ferreira, Rita; Gomes, Diogo
25
2018
Short-time existence of solutions for mean-field games with congestion. Zbl 1338.35219
Gomes, Diogo A.; Voskanyan, Vardan K.
25
2015
Computing the effective Hamiltonian using a variational approach. Zbl 1081.49024
Gomes, Diogo A.; Oberman, Adam M.
21
2004
Viscosity solution methods and the discrete Aubry-Mather problem. Zbl 1080.49022
Gomes, Diogo A.
21
2005
Viscosity limit of stationary distributions for the random forced Burgers equation. Zbl 1115.35081
Gomes, Diogo; Iturriaga, Renato; Khanin, Konstantin; Padilla, Pablo
20
2005
Error estimates for the approximation of the effective Hamiltonian. Zbl 1140.49023
Camilli, Fabio; Capuzzo Dolcetta, Italo; Gomes, Diogo A.
19
2008
Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039
Evans, L. C.; Gomes, D.
18
2002
A mean-field game approach to price formation. Zbl 1475.91102
Gomes, Diogo A.; Saúde, João
18
2021
Local regularity for mean-field games in the whole space. Zbl 1339.35326
Gomes, Diogo A.; Pimentel, Edgard
17
2016
Adjoint methods for obstacle problems and weakly coupled systems of PDE. Zbl 1273.35090
Cagnetti, Filippo; Gomes, Diogo; Tran, Hung Vinh
17
2013
First-order, stationary mean-field games with congestion. Zbl 1390.35075
Evangelista, David; Ferreira, Rita; Gomes, Diogo A.; Nurbekyan, Levon; Voskanyan, Vardan
17
2018
The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases. Zbl 1403.35082
Gomes, Diogo A.; Mitake, Hiroyoshi; Tran, Hung V.
17
2018
A variational formulation for the Navier-Stokes equation. Zbl 1080.37083
Gomes, Diogo Aguiar
15
2005
Obstacle mean-field game problem. Zbl 1327.35119
Gomes, Diogo A.; Sri, Kaust; Patrizi, Stefania
15
2015
Mather measures selected by an approximation scheme. Zbl 1204.37063
Gomes, Diogo; Iturriaga, Renato; Sánchez-Morgado, Héctor; Yu, Yifeng
14
2010
Aubry-Mather measures in the nonconvex setting. Zbl 1258.35059
Cagnetti, F.; Gomes, D.; Tran, H. V.
14
2011
Extended mean field games. Zbl 1310.49008
Gomes, D. A.; Voskanyan, V. K.
14
2013
Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143
Evans, L. C.; Gomes, D.
13
2002
Entropy penalization methods for Hamilton-Jacobi equations. Zbl 1119.70013
Gomes, Diogo A.; Valdinoci, Enrico
13
2007
An introduction to the Aubry-Mather theory. Zbl 1243.49001
Biryuk, Andrey; Gomes, Diogo A.
12
2010
On the convergence of finite state mean-field games through \(\Gamma\)-convergence. Zbl 1304.91027
Ferreira, Rita; Gomes, Diogo A.
12
2014
Duality principles for fully nonlinear elliptic equations. Zbl 1237.35053
Gomes, Diogo Aguiar
11
2005
Displacement convexity for first-order mean-field games. Zbl 1419.91102
Gomes, Diogo A.; Seneci, Tommaso
11
2018
Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions. Zbl 1429.35078
Ferreira, Rita; Gomes, Diogo; Tada, Teruo
11
2019
Perturbation theory for viscosity solutions of Hamilton-Jacobi equations and stability of Aubry-Mather sets. Zbl 1034.37035
Gomes, Diogo Aguiar
10
2003
Numerical methods for finite-state mean-field games satisfying a monotonicity condition. Zbl 1460.91030
Gomes, Diogo A.; Saúde, João
10
2021
One-dimensional, forward-forward mean-field games with congestion. Zbl 1407.49036
Gomes, Diogo; Sedjro, Marc
9
2018
Viscosity solutions of Hamilton-Jacobi equations, and asymptotics for Hamiltonian systems. Zbl 1005.49027
Gomes, Diogo Aguiar
8
2002
Regularity theory for Hamilton–Jacobi equations. Zbl 1023.35028
Aguiar Gomes, Diogo
8
2003
On the existence of solutions for stationary mean-field games with congestion. Zbl 1403.35098
Evangelista, David; Gomes, Diogo A.
8
2018
The mather measure and a large deviation principle for the entropy penalized method. Zbl 1219.37045
Gomes, D. A.; Lopes, A. O.; Mohr, J.
7
2011
One-dimensional forward-forward mean-field games. Zbl 1371.49031
Gomes, Diogo A.; Nurbekyan, Levon; Sedjro, Marc
7
2016
Hamilton-Jacobi methods for vakonomic mechanics. Zbl 1135.37327
Gomes, Diogo Aguiar
6
2007
Weakly coupled mean-field game systems. Zbl 1358.35200
Gomes, Diogo A.; Patrizi, Stefania
6
2016
On the minimizers of calculus of variations problems in Hilbert spaces. Zbl 1306.49009
Gomes, Diogo; Nurbekyan, Levon
6
2015
The selection problem for some first-order stationary mean-field games. Zbl 1455.35261
Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo
6
2020
Existence of weak solutions to time-dependent mean-field games. Zbl 1473.35226
Ferreira, Rita; Gomes, Diogo; Tada, Teruo
6
2021
Systems of weakly coupled Hamilton-Jacobi equations with implicit obstacles. Zbl 1258.35062
Gomes, Diogo; Serra, António
5
2012
Some estimates for the planning problem with potential. Zbl 1461.91035
Bakaryan, Tigran; Ferreira, Rita; Gomes, Diogo
5
2021
A mean field game price model with noise. Zbl 1498.91194
Gomes, Diogo; Gutierrez, Julian; Ribeiro, Ricardo
5
2021
Stability of rotating liquid films. Zbl 1036.76018
Gomes, Diogo Aguiar
4
2002
Duality theory, representation formulas and uniqueness results for viscosity solutions of Hamilton-Jacobi equations. Zbl 1248.49039
Gomes, Diogo A.; Valdinoci, Enrico
4
2011
An infinite-dimensional weak KAM theory via random variables. Zbl 1352.37174
Gomes, Diogo; Nurbekyan, Levon
4
2016
Mather problem and viscosity solutions in the stationary setting. Zbl 1293.49061
Gomes, Diogo A.; Oliveira, Elismar R.
4
2012
Convergence of a semi-discretization scheme for the Hamilton-Jacobi equation: a new approach with the adjoint method. Zbl 1314.65109
Cagnetti, F.; Gomes, D.; Tran, H. V.
4
2013
Hypoelliptic mean field games – a case study. Zbl 1452.35069
Feleqi, Ermal; Gomes, Diogo; Tada, Teruo
4
2020
A duality approach to a price formation MFG model. Zbl 1515.49021
Ashrafyan, Yuri; Bakaryan, Tigran; Gomes, Diogo; Gutierrez, Julian
4
2023
Wigner measures and quantum Aubry-Mather theory. Zbl 1216.81099
Gomes, Diogo A.; Valls, Claudia
3
2007
Weak KAM theory for a weakly coupled system of Hamilton-Jacobi equations. Zbl 1355.49023
Figalli, Alessio; Gomes, Diogo; Marcon, Diego
3
2016
Some estimates for stationary extended mean field games. Zbl 1301.49101
Voskanyan, V. K.; Gomes, D.
3
2013
Discrete time, finite state space mean field games. Zbl 1247.91019
Gomes, Diogo A.; Mohr, Joana; Rigão Souza, Rafael
2
2011
On a variational principle for the Navier-Stokes equation. Zbl 1127.76053
Gomes, Diogo Luís Aguiar
2
2007
Lack of integrability via viscosity solution methods. Zbl 1081.35023
Gomes, Diogo A.; Valdinoci, Enrico
2
2004
Existence of positive solutions for an approximation of stationary mean-field games. Zbl 1354.49082
Almayouf, 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
Nonlinear estimation using mean field games. Zbl 1410.91043
Pequito, Sergio; Aguiar, A. Pedro; Sinopoli, Bruno; Gomes, Diogo A.
2
2011
Transforming kinks into compactons in the \(O(3)\)-sigma model. Zbl 1448.81426
Lima, F. C. E.; Gomes, D. A.; Almeida, C. A. S.
2
2020
Wigner measures and the semi-classical limit to the Aubry-Mather measure. Zbl 1259.49069
Gomes, Diogo A.; Lopes, Artur O.; Mohr, Joana
2
2012
Thermodynamics of Schwarzschild-like black holes in modified gravity models. Zbl 1435.83086
Gomes, D. A.; Maluf, R. V.; Almeida, C. A. S.
2
2020
The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures. Zbl 1472.65110
Gomes, Diogo A.; Yang, Xianjin
2
2020
Correlations between emission events in rainbow gravity. Zbl 1464.83031
Gomes, D. A.; Lima, F. C. E.; Almeida, C. A. S.
2
2021
A random-supply mean field game price model. Zbl 1511.35350
Gomes, Diogo; Gutierrez, Julian; Ribeiro, Ricardo
2
2023
System of variational inequalities with interconnected obstacles. Zbl 1492.60101
Barkhudaryan, R.; Gomes, D. A.; Shahgholian, H.; Salehi, M.
2
2022
Viscosity solutions of Hamilton-Jacobi equations. Paper from the 27th Brazilian Mathematics Colloquium – 27\(°\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 27–31, 2009. Zbl 1219.49023
Gomes, Diogo
1
2009
Exponential energy decay for the Kadomtsev-Petviashvili (KP-II) equation. Zbl 1291.35284
Gomes, Diogo A.; Panthee, Mahendra
1
2011
Minimax probabilities for Aubry-Mather problems. Zbl 1204.37062
Gomes, Diogo A.; Jung, Nara; Lopes, Artur O.
1
2010
Conservation laws arising in the study of forward-forward mean-field games. Zbl 1415.35190
Gomes, Diogo; Nurbekyan, Levon; Sedjro, Marc
1
2018
On some singular mean-field games. Zbl 1483.35281
Cirant, Marco; Gomes, Diogo A.; Pimentel, Edgard A.; Sánchez-Morgado, Héctor
1
2021
Exponential decay or correlation for the stochastic process associated to the entropy penalized method. Zbl 1192.37087
Gomes, Diogo A.; Lopes, Artur O.
1
2008
Three-dimensional registration and shape reconstruction from depth data without matching: a PDE approach. Zbl 1416.65065
Gomes, Diogo A.; Saúde, João Costeira; Saúde, João
1
2018
Viscosity solutions methods for converse KAM theory. Zbl 1156.37015
Gomes, Diogo A.; Oberman, Adam
1
2008
A potential approach for planning mean-field games in one dimension. Zbl 1490.35131
Bakaryan, Tigran; Ferreira, Rita; Gomes, Diogo
1
2022
A duality approach to a price formation MFG model. Zbl 1515.49021
Ashrafyan, Yuri; Bakaryan, Tigran; Gomes, Diogo; Gutierrez, Julian
4
2023
A random-supply mean field game price model. Zbl 1511.35350
Gomes, Diogo; Gutierrez, Julian; Ribeiro, Ricardo
2
2023
System of variational inequalities with interconnected obstacles. Zbl 1492.60101
Barkhudaryan, R.; Gomes, D. A.; Shahgholian, H.; Salehi, M.
2
2022
A potential approach for planning mean-field games in one dimension. Zbl 1490.35131
Bakaryan, Tigran; Ferreira, Rita; Gomes, Diogo
1
2022
A mean-field game approach to price formation. Zbl 1475.91102
Gomes, Diogo A.; Saúde, João
18
2021
Numerical methods for finite-state mean-field games satisfying a monotonicity condition. Zbl 1460.91030
Gomes, Diogo A.; Saúde, João
10
2021
Existence of weak solutions to time-dependent mean-field games. Zbl 1473.35226
Ferreira, Rita; Gomes, Diogo; Tada, Teruo
6
2021
Some estimates for the planning problem with potential. Zbl 1461.91035
Bakaryan, Tigran; Ferreira, Rita; Gomes, Diogo
5
2021
A mean field game price model with noise. Zbl 1498.91194
Gomes, Diogo; Gutierrez, Julian; Ribeiro, Ricardo
5
2021
Correlations between emission events in rainbow gravity. Zbl 1464.83031
Gomes, D. A.; Lima, F. C. E.; Almeida, C. A. S.
2
2021
On some singular mean-field games. Zbl 1483.35281
Cirant, Marco; Gomes, Diogo A.; Pimentel, Edgard A.; Sánchez-Morgado, Héctor
1
2021
The selection problem for some first-order stationary mean-field games. Zbl 1455.35261
Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo
6
2020
Hypoelliptic mean field games – a case study. Zbl 1452.35069
Feleqi, Ermal; Gomes, Diogo; Tada, Teruo
4
2020
Transforming kinks into compactons in the \(O(3)\)-sigma model. Zbl 1448.81426
Lima, F. C. E.; Gomes, D. A.; Almeida, C. A. S.
2
2020
Thermodynamics of Schwarzschild-like black holes in modified gravity models. Zbl 1435.83086
Gomes, D. A.; Maluf, R. V.; Almeida, C. A. S.
2
2020
The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures. Zbl 1472.65110
Gomes, Diogo A.; Yang, Xianjin
2
2020
Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions. Zbl 1429.35078
Ferreira, Rita; Gomes, Diogo; Tada, Teruo
11
2019
One-dimensional stationary mean-field games with local coupling. Zbl 1397.91086
Gomes, Diogo A.; Nurbekyan, Levon; Prazeres, Mariana
32
2018
Existence of weak solutions to stationary mean-field games through variational inequalities. Zbl 1418.91087
Ferreira, Rita; Gomes, Diogo
25
2018
First-order, stationary mean-field games with congestion. Zbl 1390.35075
Evangelista, David; Ferreira, Rita; Gomes, Diogo A.; Nurbekyan, Levon; Voskanyan, Vardan
17
2018
The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases. Zbl 1403.35082
Gomes, Diogo A.; Mitake, Hiroyoshi; Tran, Hung V.
17
2018
Displacement convexity for first-order mean-field games. Zbl 1419.91102
Gomes, Diogo A.; Seneci, Tommaso
11
2018
One-dimensional, forward-forward mean-field games with congestion. Zbl 1407.49036
Gomes, Diogo; Sedjro, Marc
9
2018
On the existence of solutions for stationary mean-field games with congestion. Zbl 1403.35098
Evangelista, David; Gomes, Diogo A.
8
2018
Conservation laws arising in the study of forward-forward mean-field games. Zbl 1415.35190
Gomes, Diogo; Nurbekyan, Levon; Sedjro, Marc
1
2018
Three-dimensional registration and shape reconstruction from depth data without matching: a PDE approach. Zbl 1416.65065
Gomes, Diogo A.; Saúde, João Costeira; Saúde, João
1
2018
Two numerical approaches to stationary mean-field games. Zbl 1391.91024
Almulla, Noha; Ferreira, Rita; Gomes, Diogo
33
2017
Existence of positive solutions for an approximation of stationary mean-field games. Zbl 1354.49082
Almayouf, 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 1391.91003
Gomes, Diogo A.; Pimentel, Edgard A.; Voskanyan, Vardan
87
2016
Time-dependent mean-field games in the superquadratic case. Zbl 1339.35090
Gomes, Diogo A.; Pimentel, Edgard; Sánchez-Morgado, Héctor
41
2016
Extended deterministic mean-field games. Zbl 1343.49060
Gomes, Diogo A.; Voskanyan, Vardan K.
34
2016
Local regularity for mean-field games in the whole space. Zbl 1339.35326
Gomes, Diogo A.; Pimentel, Edgard
17
2016
One-dimensional forward-forward mean-field games. Zbl 1371.49031
Gomes, Diogo A.; Nurbekyan, Levon; Sedjro, Marc
7
2016
Weakly coupled mean-field game systems. Zbl 1358.35200
Gomes, Diogo A.; Patrizi, Stefania
6
2016
An infinite-dimensional weak KAM theory via random variables. Zbl 1352.37174
Gomes, Diogo; Nurbekyan, Levon
4
2016
Weak KAM theory for a weakly coupled system of Hamilton-Jacobi equations. Zbl 1355.49023
Figalli, Alessio; Gomes, Diogo; Marcon, Diego
3
2016
Time-dependent mean-field games in the subquadratic case. Zbl 1322.35053
Gomes, Diogo A.; Pimentel, Edgard A.; Sánchez-Morgado, Héctor
45
2015
A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians. Zbl 1312.35020
Cagnetti, Filippo; Gomes, Diogo; Mitake, Hiroyoshi; Tran, Hung V.
32
2015
Existence for stationary mean-field games with congestion and quadratic Hamiltonians. Zbl 1343.91003
Gomes, Diogo A.; Mitake, Hiroyoshi
30
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 1335.91003
Gomes, Diogo A.; Nurbekyan, Levon; Pimentel, Edgard A.
28
2015
Time-dependent mean-field games with logarithmic nonlinearities. Zbl 1331.35009
Gomes, Diogo A.; Pimentel, Edgard
27
2015
Short-time existence of solutions for mean-field games with congestion. Zbl 1338.35219
Gomes, Diogo A.; Voskanyan, Vardan K.
25
2015
Obstacle mean-field game problem. Zbl 1327.35119
Gomes, Diogo A.; Sri, Kaust; Patrizi, Stefania
15
2015
On the minimizers of calculus of variations problems in Hilbert spaces. Zbl 1306.49009
Gomes, Diogo; Nurbekyan, Levon
6
2015
Mean field games models – a brief survey. Zbl 1314.91048
Gomes, Diogo A.; Saúde, João
134
2014
On the existence of classical solutions for stationary extended mean field games. Zbl 1284.49044
Gomes, Diogo A.; Patrizi, Stefania; Voskanyan, Vardan
67
2014
Socio-economic applications of finite state mean field games. Zbl 1353.91015
Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese
35
2014
A stochastic Evans-Aronsson problem. Zbl 1286.93203
Gomes, Diogo; Morgado, Héctor Sánchez
31
2014
On the convergence of finite state mean-field games through \(\Gamma\)-convergence. Zbl 1304.91027
Ferreira, Rita; Gomes, Diogo A.
12
2014
Continuous time finite state mean field games. Zbl 1283.91016
Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão
63
2013
Adjoint methods for obstacle problems and weakly coupled systems of PDE. Zbl 1273.35090
Cagnetti, Filippo; Gomes, Diogo; Tran, Hung Vinh
17
2013
Extended mean field games. Zbl 1310.49008
Gomes, D. A.; Voskanyan, V. K.
14
2013
Convergence of a semi-discretization scheme for the Hamilton-Jacobi equation: a new approach with the adjoint method. Zbl 1314.65109
Cagnetti, F.; Gomes, D.; Tran, H. V.
4
2013
Some estimates for stationary extended mean field games. Zbl 1301.49101
Voskanyan, V. K.; Gomes, D.
3
2013
A-priori estimates for stationary mean-field games. Zbl 1260.49071
Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor
28
2012
Systems of weakly coupled Hamilton-Jacobi equations with implicit obstacles. Zbl 1258.35062
Gomes, Diogo; Serra, António
5
2012
Mather problem and viscosity solutions in the stationary setting. Zbl 1293.49061
Gomes, Diogo A.; Oliveira, Elismar R.
4
2012
Wigner measures and the semi-classical limit to the Aubry-Mather measure. Zbl 1259.49069
Gomes, Diogo A.; Lopes, Artur O.; Mohr, Joana
2
2012
Aubry-Mather measures in the nonconvex setting. Zbl 1258.35059
Cagnetti, F.; Gomes, D.; Tran, H. V.
14
2011
The mather measure and a large deviation principle for the entropy penalized method. Zbl 1219.37045
Gomes, D. A.; Lopes, A. O.; Mohr, J.
7
2011
Duality theory, representation formulas and uniqueness results for viscosity solutions of Hamilton-Jacobi equations. Zbl 1248.49039
Gomes, Diogo A.; Valdinoci, Enrico
4
2011
Discrete time, finite state space mean field games. Zbl 1247.91019
Gomes, Diogo A.; Mohr, Joana; Rigão Souza, Rafael
2
2011
Nonlinear estimation using mean field games. Zbl 1410.91043
Pequito, Sergio; Aguiar, A. Pedro; Sinopoli, Bruno; Gomes, Diogo A.
2
2011
Exponential energy decay for the Kadomtsev-Petviashvili (KP-II) equation. Zbl 1291.35284
Gomes, Diogo A.; Panthee, Mahendra
1
2011
Discrete time, finite state space mean field games. Zbl 1192.91028
Gomes, Diogo A.; Mohr, Joana; Souza, Rafael Rigão
79
2010
Mather measures selected by an approximation scheme. Zbl 1204.37063
Gomes, Diogo; Iturriaga, Renato; Sánchez-Morgado, Héctor; Yu, Yifeng
14
2010
An introduction to the Aubry-Mather theory. Zbl 1243.49001
Biryuk, Andrey; Gomes, Diogo A.
12
2010
Minimax probabilities for Aubry-Mather problems. Zbl 1204.37062
Gomes, Diogo A.; Jung, Nara; Lopes, Artur O.
1
2010
Viscosity solutions of Hamilton-Jacobi equations. Paper from the 27th Brazilian Mathematics Colloquium – 27\(°\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 27–31, 2009. Zbl 1219.49023
Gomes, Diogo
1
2009
Generalized Mather problem and selection principles for viscosity solutions and Mather measures. Zbl 1181.37090
Gomes, Diogo Aguiar
32
2008
Error estimates for the approximation of the effective Hamiltonian. Zbl 1140.49023
Camilli, Fabio; Capuzzo Dolcetta, Italo; Gomes, Diogo A.
19
2008
Exponential decay or correlation for the stochastic process associated to the entropy penalized method. Zbl 1192.37087
Gomes, Diogo A.; Lopes, Artur O.
1
2008
Viscosity solutions methods for converse KAM theory. Zbl 1156.37015
Gomes, Diogo A.; Oberman, Adam
1
2008
Entropy penalization methods for Hamilton-Jacobi equations. Zbl 1119.70013
Gomes, Diogo A.; Valdinoci, Enrico
13
2007
Hamilton-Jacobi methods for vakonomic mechanics. Zbl 1135.37327
Gomes, Diogo Aguiar
6
2007
Wigner measures and quantum Aubry-Mather theory. Zbl 1216.81099
Gomes, Diogo A.; Valls, Claudia
3
2007
On a variational principle for the Navier-Stokes equation. Zbl 1127.76053
Gomes, Diogo Luís Aguiar
2
2007
Viscosity solution methods and the discrete Aubry-Mather problem. Zbl 1080.49022
Gomes, Diogo A.
21
2005
Viscosity limit of stationary distributions for the random forced Burgers equation. Zbl 1115.35081
Gomes, Diogo; Iturriaga, Renato; Khanin, Konstantin; Padilla, Pablo
20
2005
A variational formulation for the Navier-Stokes equation. Zbl 1080.37083
Gomes, Diogo Aguiar
15
2005
Duality principles for fully nonlinear elliptic equations. Zbl 1237.35053
Gomes, Diogo Aguiar
11
2005
Computing the effective Hamiltonian using a variational approach. Zbl 1081.49024
Gomes, Diogo A.; Oberman, Adam M.
21
2004
Lack of integrability via viscosity solution methods. Zbl 1081.35023
Gomes, Diogo A.; Valdinoci, Enrico
2
2004
Perturbation theory for viscosity solutions of Hamilton-Jacobi equations and stability of Aubry-Mather sets. Zbl 1034.37035
Gomes, Diogo Aguiar
10
2003
Regularity theory for Hamilton–Jacobi equations. Zbl 1023.35028
Aguiar Gomes, Diogo
8
2003
A stochastic analogue of Aubry-Mather theory. Zbl 1073.37078
Gomes, Diogo Aguiar
31
2002
Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039
Evans, L. C.; Gomes, D.
18
2002
Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143
Evans, L. C.; Gomes, D.
13
2002
Viscosity solutions of Hamilton-Jacobi equations, and asymptotics for Hamiltonian systems. Zbl 1005.49027
Gomes, Diogo Aguiar
8
2002
Stability of rotating liquid films. Zbl 1036.76018
Gomes, Diogo Aguiar
4
2002
Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056
Evans, L. C.; Gomes, D.
49
2001
all top 5

Cited by 620 Authors

54 Gomes, Diogo Luís Aguiar
21 Tran Vinh Hung
20 Mitake, Hiroyoshi
17 Cirant, Marco
15 Camilli, Fabio
15 Cardaliaguet, Pierre
15 Laurière, Mathieu
12 Nurbekyan, Levon
11 Lopes, Artur Oscar
11 Porretta, Alessio
10 Achdou, Yves
10 Carmona, René A.
10 Kolokoltsov, Vassili N.
9 Delarue, François
9 Ferreira, Rita
9 Li, Wuchen
9 Pimentel, Edgard A.
9 Sánchez-Morgado, Héctor
9 Wang, Bingchang
8 Cecchin, Alekos
8 Cesaroni, Annalisa
8 Ishii, Hitoshi
8 Marchi, Claudio
8 Mészáros, Alpár Richárd
8 Osher, Stanley Joel
8 Silva, Francisco J.
7 Bakhtin, Yuri Yu.
7 Bauso, Dario
7 Huang, Minyi
7 Saldi, Naci
7 Yan, Jun
7 Yu, Yifeng
7 Zanelli, Lorenzo
7 Zhang, Huanshui
6 Ambrose, David M.
6 Bertucci, Charles
6 Cacace, Simone
6 Cheng, Wei
6 Goffi, Alessandro
6 Wang, Kaizhi
5 Başar, Tamer
5 Bayraktar, Erhan
5 Bensoussan, Alain
5 Bessi, Ugo
5 Cohen, Asaf
5 Fujii, Masaaki
5 Gangbo, Wilfrid
5 Graber, Philip Jameson
5 Liu, Siting
5 Mazanti, Guilherme
5 Mohr, Joana
5 Mou, Chenchen
5 Thieullen, Philippe
5 Voskanyan, Vardan K.
5 Zavidovique, Maxime
5 Zhang, Shuhua
4 Bakaryan, Tigran K.
4 Carlini, Elisabetta
4 Chen, Qinbo
4 Dai Pra, Paolo
4 Davini, Andrea
4 Evans, Lawrence Craig
4 Garibaldi, Eduardo
4 Huang, Jianhui
4 Iturriaga, Renato
4 Khanin, Konstantin M.
4 Kobeissi, Ziad
4 Lacker, Daniel
4 Liang, Yong
4 Lions, Pierre-Louis
4 Mannucci, Paola
4 Mendico, Cristian
4 Neumann, Berenice Anne
4 Oliveira, Elismar R.
4 Pfeiffer, Laurent
4 Raginsky, Maxim
4 Santambrogio, Filippo
4 Saúde, João
4 Shaĭdurov, Vladimir Victorovich
4 Siconolfi, Antonio
4 Souza, Rafael Rigão
4 Tang, Qing
4 Tembine, Hamidou
4 Tolotti, Marco
4 Turinici, Gabriel
4 Wu, Jianglun
4 Zhou, Guoli
3 Averboukh, Yuriĭ Vladimirovich
3 Bagagiolo, Fabio
3 Bardi, Martino
3 Barreiro-Gomez, Julián
3 Bonnans, Joseph Frédéric
3 Boritchev, Alexandre
3 Campi, Luciano
3 Cannarsa, Piermarco
3 Cardin, Franco
3 Dumitrescu, Roxana
3 Feleqi, Ermal
3 Gao, Yuan
3 Gutierrez, Julian
...and 520 more Authors
all top 5

Cited in 168 Serials

34 Applied Mathematics and Optimization
29 Dynamic Games and Applications
23 SIAM Journal on Control and Optimization
22 Journal of Differential Equations
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Calculus of Variations and Partial Differential Equations
17 NoDEA. Nonlinear Differential Equations and Applications
14 Journal of Dynamics and Games
13 Communications in Partial Differential Equations
13 SIAM Journal on Mathematical Analysis
12 Minimax Theory and its Applications
11 Automatica
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Discrete and Continuous Dynamical Systems
9 Archive for Rational Mechanics and Analysis
8 Journal of Computational Physics
8 The Annals of Applied Probability
8 Stochastic Processes and their Applications
7 Communications in Mathematical Physics
7 Nonlinearity
7 Mathematics of Operations Research
7 Proceedings of the American Mathematical Society
6 SIAM Journal on Numerical Analysis
5 Journal of Mathematical Analysis and Applications
5 Advances in Mathematics
5 Transactions of the American Mathematical Society
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Communications on Pure and Applied Mathematics
4 Journal of Mathematical Physics
4 Journal of Statistical Physics
4 Journal of Optimization Theory and Applications
4 Journal of Dynamics and Differential Equations
4 SIAM Journal on Scientific Computing
4 Discrete and Continuous Dynamical Systems. Series B
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Mathematics and Financial Economics
4 Analysis & PDE
4 Stochastic and Partial Differential Equations. Analysis and Computations
4 Mathematics in Engineering
3 The Annals of Probability
3 Chinese Annals of Mathematics. Series B
3 Applied Numerical Mathematics
3 Journal of Scientific Computing
3 Annals of Physics
3 Lobachevskii Journal of Mathematics
3 Stochastics and Dynamics
3 Communications on Pure and Applied Analysis
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Discrete and Continuous Dynamical Systems. Series S
3 Advances in Calculus of Variations
2 Inverse Problems
2 Journal d’Analyse Mathématique
2 Physics Letters. A
2 Bulletin of Mathematical Biology
2 International Journal of Game Theory
2 Inventiones Mathematicae
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Ergodic Theory and Dynamical Systems
2 Systems & Control Letters
2 Statistics & Probability Letters
2 Probability Theory and Related Fields
2 Science in China. Series A
2 Economic Theory
2 Electronic Journal of Probability
2 The Journal of Fourier Analysis and Applications
2 Mathematical Finance
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Annales Henri Poincaré
2 Journal of Evolution Equations
2 Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Physics A: Mathematical and Theoretical
2 SIAM Journal on Financial Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 SN Partial Differential Equations and Applications
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 International Journal of Control
1 Journal of Fluid Mechanics
1 Mathematical Methods in the Applied Sciences
1 Moscow University Mathematics Bulletin
1 Physica A
1 Physics Letters. B
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Archiv der Mathematik
1 Indiana University Mathematics Journal
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
...and 68 more Serials
all top 5

Cited in 40 Fields

333 Partial differential equations (35-XX)
299 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
258 Calculus of variations and optimal control; optimization (49-XX)
106 Probability theory and stochastic processes (60-XX)
87 Dynamical systems and ergodic theory (37-XX)
77 Systems theory; control (93-XX)
74 Numerical analysis (65-XX)
32 Operations research, mathematical programming (90-XX)
31 Fluid mechanics (76-XX)
23 Biology and other natural sciences (92-XX)
22 Mechanics of particles and systems (70-XX)
20 Statistical mechanics, structure of matter (82-XX)
18 Quantum theory (81-XX)
10 Ordinary differential equations (34-XX)
10 Computer science (68-XX)
9 Operator theory (47-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Real functions (26-XX)
6 Integral equations (45-XX)
6 Relativity and gravitational theory (83-XX)
5 Measure and integration (28-XX)
5 Differential geometry (53-XX)
4 Mechanics of deformable solids (74-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Combinatorics (05-XX)
3 Statistics (62-XX)
2 Algebraic geometry (14-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Optics, electromagnetic theory (78-XX)
2 Astronomy and astrophysics (85-XX)
2 Information and communication theory, circuits (94-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 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geophysics (86-XX)

Citations by Year