Laurière, Mathieu; Tangpi, Ludovic Convergence of large population games to mean field games with interaction through the controls. (English) Zbl 07547021 SIAM J. Math. Anal. 54, No. 3, 3535-3574 (2022). MSC: 93E20 60H30 91A06 PDF BibTeX XML Cite \textit{M. Laurière} and \textit{L. Tangpi}, SIAM J. Math. Anal. 54, No. 3, 3535--3574 (2022; Zbl 07547021) Full Text: DOI OpenURL
Abdellaoui, M.; Redwane, H. On some regularity results of parabolic problems with nonlinear perturbed terms and general data. (English) Zbl 1479.35155 SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 2, 39 p. (2022). MSC: 35B45 35B20 35B65 35D30 35K20 35K92 35R06 PDF BibTeX XML Cite \textit{M. Abdellaoui} and \textit{H. Redwane}, SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 2, 39 p. (2022; Zbl 1479.35155) Full Text: DOI OpenURL
Hamadène, Said; Mu, Rui Discontinuous Nash equilibrium points for nonzero-sum stochastic differential games. (English) Zbl 1471.49026 Stochastic Processes Appl. 130, No. 11, 6901-6926 (2020). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 49N70 49N90 91A15 49K30 PDF BibTeX XML Cite \textit{S. Hamadène} and \textit{R. Mu}, Stochastic Processes Appl. 130, No. 11, 6901--6926 (2020; Zbl 1471.49026) Full Text: DOI arXiv OpenURL
Delarue, François; Lacker, Daniel; Ramanan, Kavita From the master equation to mean field game limit theory: large deviations and concentration of measure. (English) Zbl 1445.60025 Ann. Probab. 48, No. 1, 211-263 (2020). Reviewer: Edward Omey (Brussels) MSC: 60F10 60E15 60H10 91A07 91A15 91G80 60K35 PDF BibTeX XML Cite \textit{F. Delarue} et al., Ann. Probab. 48, No. 1, 211--263 (2020; Zbl 1445.60025) Full Text: DOI arXiv Euclid OpenURL
Delarue, François; Lacker, Daniel; Ramanan, Kavita From the master equation to mean field game limit theory: a central limit theorem. (English) Zbl 07068782 Electron. J. Probab. 24, Paper No. 51, 54 p. (2019). MSC: 60F05 60H10 60H15 91A07 91A15 91G80 60K35 PDF BibTeX XML Cite \textit{F. Delarue} et al., Electron. J. Probab. 24, Paper No. 51, 54 p. (2019; Zbl 07068782) Full Text: DOI arXiv Euclid OpenURL
Averboukh, Yurii Approximate public-signal correlated equilibria for nonzero-sum differential games. (English) Zbl 1420.91019 SIAM J. Control Optim. 57, No. 1, 743-772 (2019). MSC: 91A23 91A10 91A15 49N70 91A28 PDF BibTeX XML Cite \textit{Y. Averboukh}, SIAM J. Control Optim. 57, No. 1, 743--772 (2019; Zbl 1420.91019) Full Text: DOI arXiv OpenURL
Bensoussan, Alain; Breit, Dominic; Frehse, Jens Parabolic Bellman equations with risk control. (English) Zbl 1398.35113 SIAM J. Control Optim. 56, No. 2, 1535-1549 (2018). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 93E20 35B50 35B65 49L20 35Q93 PDF BibTeX XML Cite \textit{A. Bensoussan} et al., SIAM J. Control Optim. 56, No. 2, 1535--1549 (2018; Zbl 1398.35113) Full Text: DOI OpenURL
Naumann, Joachim Existence of weak solutions of an unsteady thermistor system with \(p\)-Laplacian type equation. (English) Zbl 1386.35124 J. Elliptic Parabol. Equ. 2, No. 1-2, 87-104 (2016). MSC: 35J92 35K20 35Q79 80A20 PDF BibTeX XML Cite \textit{J. Naumann}, J. Elliptic Parabol. Equ. 2, No. 1--2, 87--104 (2016; Zbl 1386.35124) Full Text: DOI arXiv OpenURL
Bardi, Martino; Feleqi, Ermal Nonlinear elliptic systems and mean-field games. (English) Zbl 1358.35198 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 4, Paper No. 44, 32 p. (2016). Reviewer: Rodica Luca (Iaşi) MSC: 35Q91 49N70 91A10 PDF BibTeX XML Cite \textit{M. Bardi} and \textit{E. Feleqi}, NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 4, Paper No. 44, 32 p. (2016; Zbl 1358.35198) Full Text: DOI OpenURL
Bensoussan, Alain; Breit, Dominic; Frehse, Jens Parabolic Bellman-systems with mean field dependence. (English) Zbl 1342.35054 Appl. Math. Optim. 73, No. 3, 419-432 (2016). MSC: 35B50 35K55 35B65 49L20 PDF BibTeX XML Cite \textit{A. Bensoussan} et al., Appl. Math. Optim. 73, No. 3, 419--432 (2016; Zbl 1342.35054) Full Text: DOI OpenURL
Boccardo, Lucio; Orsina, Luigi; Puel, Jean-Pierre A quasilinear elliptic system with natural growth terms. (English) Zbl 1330.35124 Ann. Mat. Pura Appl. (4) 194, No. 6, 1733-1750 (2015). Reviewer: Dian K. Palagachev (Bari) MSC: 35J47 35J60 35J57 PDF BibTeX XML Cite \textit{L. Boccardo} et al., Ann. Mat. Pura Appl. (4) 194, No. 6, 1733--1750 (2015; Zbl 1330.35124) Full Text: DOI OpenURL
Beck, Lisa; Bulíček, Miroslav; Frehse, Jens Old and new results in regularity theory for diagonal elliptic systems via blowup techniques. (English) Zbl 1329.35145 J. Differ. Equations 259, No. 11, 6528-6572 (2015). Reviewer: Stephan Fackler (Ulm) MSC: 35J57 35D30 91A23 35B44 35B65 PDF BibTeX XML Cite \textit{L. Beck} et al., J. Differ. Equations 259, No. 11, 6528--6572 (2015; Zbl 1329.35145) Full Text: DOI OpenURL
Mannucci, Paola Nash points for nonzero-sum stochastic differential games with separate Hamiltonians. (English) Zbl 1302.91020 Dyn. Games Appl. 4, No. 3, 329-344 (2014). MSC: 91A15 91A23 49N70 PDF BibTeX XML Cite \textit{P. Mannucci}, Dyn. Games Appl. 4, No. 3, 329--344 (2014; Zbl 1302.91020) Full Text: DOI OpenURL
Bensoussan, Alain; Frehse, Jens; Grün, Christine Stochastic differential games with a varying number of players. (English) Zbl 1307.91032 Commun. Pure Appl. Anal. 13, No. 5, 1719-1736 (2014). MSC: 91A23 91A15 91A06 49N70 35B45 35B65 60H30 PDF BibTeX XML Cite \textit{A. Bensoussan} et al., Commun. Pure Appl. Anal. 13, No. 5, 1719--1736 (2014; Zbl 1307.91032) Full Text: DOI OpenURL
Arcoya, David; De Coster, Colette; Jeanjean, Louis; Tanaka, Kazunaga Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions. (English) Zbl 1296.35068 J. Math. Anal. Appl. 420, No. 1, 772-780 (2014). MSC: 35J62 35B51 PDF BibTeX XML Cite \textit{D. Arcoya} et al., J. Math. Anal. Appl. 420, No. 1, 772--780 (2014; Zbl 1296.35068) Full Text: DOI arXiv OpenURL
Beck, Lisa; Frehse, Jens Regular and irregular solutions for a class of elliptic systems in the critical dimension. (English) Zbl 1273.35115 NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 3, 943-976 (2013). MSC: 35J47 35B65 35A01 35D30 PDF BibTeX XML Cite \textit{L. Beck} and \textit{J. Frehse}, NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 3, 943--976 (2013; Zbl 1273.35115) Full Text: DOI Link OpenURL
Ledvina, Andrew; Sircar, Ronnie Dynamic Bertrand oligopoly. (English) Zbl 1237.91160 Appl. Math. Optim. 63, No. 1, 11-44 (2011). MSC: 91B54 91A15 49N70 PDF BibTeX XML Cite \textit{A. Ledvina} and \textit{R. Sircar}, Appl. Math. Optim. 63, No. 1, 11--44 (2011; Zbl 1237.91160) Full Text: DOI arXiv OpenURL
Lasry, Jean-Michel; Lions, Pierre-Louis Mean field games. (English) Zbl 1156.91321 Jpn. J. Math. (3) 2, No. 1, 229-260 (2007). MSC: 91A16 91A23 82B05 91A15 91G80 35J99 35K99 PDF BibTeX XML Cite \textit{J.-M. Lasry} and \textit{P.-L. Lions}, Jpn. J. Math. (3) 2, No. 1, 229--260 (2007; Zbl 1156.91321) Full Text: DOI Link OpenURL
Lasry, Jean-Michel; Lions, Pierre-Louis Mean field games. I: The stationary case. (Jeux à champ moyen. I: Le cas stationnaire.) (French. English summary) Zbl 1153.91009 C. R., Math., Acad. Sci. Paris 343, No. 9, 619-625 (2006). MSC: 91A15 35J55 35J60 91A06 91A10 91A07 PDF BibTeX XML Cite \textit{J.-M. Lasry} and \textit{P.-L. Lions}, C. R., Math., Acad. Sci. Paris 343, No. 9, 619--625 (2006; Zbl 1153.91009) Full Text: DOI OpenURL
Bensoussan, Alain; Frehse, Jens Smooth solutions of systems of quasilinear parabolic equations. (English) Zbl 1078.35022 ESAIM, Control Optim. Calc. Var. 8, 169-193 (2002). Reviewer: Evgeniy A. Kalita (Donetsk) MSC: 35B45 35K55 35B65 35K50 49N70 91A15 91A23 PDF BibTeX XML Cite \textit{A. Bensoussan} and \textit{J. Frehse}, ESAIM, Control Optim. Calc. Var. 8, 169--193 (2002; Zbl 1078.35022) Full Text: DOI Numdam EuDML OpenURL
Bensoussan, A.; Frehse, J. Stochastic games for \(N\) players. (English) Zbl 0977.91006 J. Optimization Theory Appl. 105, No. 3, 543-565 (2000). Reviewer: Jean-Pierre Lepeltier (Le Mans) MSC: 91A15 91A23 90C39 PDF BibTeX XML Cite \textit{A. Bensoussan} and \textit{J. Frehse}, J. Optim. Theory Appl. 105, No. 3, 543--565 (2000; Zbl 0977.91006) Full Text: DOI OpenURL
Bensoussan, A.; Boccardo, L.; Murat, F. \(H\) convergence for quasi-linear elliptic equations with quadratic growth. (English) Zbl 0795.35008 Appl. Math. Optimization 26, No. 3, 253-272 (1992). MSC: 35B27 35J65 PDF BibTeX XML Cite \textit{A. Bensoussan} et al., Appl. Math. Optim. 26, No. 3, 253--272 (1992; Zbl 0795.35008) Full Text: DOI OpenURL
Bensoussan, A.; Boccardo, L.; Murat, F. On a nonlinear partial differential equation having natural growth terms and unbounded solution. (English) Zbl 0696.35042 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 5, No. 4, 347-364 (1988). MSC: 35J20 35J65 35J85 47J05 49J40 PDF BibTeX XML Cite \textit{A. Bensoussan} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 5, No. 4, 347--364 (1988; Zbl 0696.35042) Full Text: DOI Numdam EuDML OpenURL
Boccardo, L.; Murat, F.; Puel, J. P. Existence of bounded solutions for non linear elliptic unilateral problems. (English) Zbl 0687.35042 Ann. Mat. Pura Appl., IV. Ser. 152, 183-196 (1988). Reviewer: F.Tomi MSC: 35J85 47H05 35J65 35D05 49J40 PDF BibTeX XML Cite \textit{L. Boccardo} et al., Ann. Mat. Pura Appl. (4) 152, 183--196 (1988; Zbl 0687.35042) Full Text: DOI OpenURL
Donato, Patrizia; Giachetti, Daniela Quasilinear elliptic equations with quadratic growth in unbounded domains. (English) Zbl 0602.35036 Nonlinear Anal., Theory Methods Appl. 10, 791-804 (1986). Reviewer: W.Wendt MSC: 35J65 35J25 35A05 PDF BibTeX XML Cite \textit{P. Donato} and \textit{D. Giachetti}, Nonlinear Anal., Theory Methods Appl. 10, 791--804 (1986; Zbl 0602.35036) Full Text: DOI OpenURL