메뉴 건너뛰기




Volumn 261, Issue 3, 2016, Pages 1796-1834

Strongly coupled elliptic equations related to mean-field games systems

Author keywords

Elliptic systems; Mean field games; Quasilinear elliptic equations

Indexed keywords


EID: 84964658663     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2016.04.018     Document Type: Article
Times cited : (20)

References (28)
  • 4
    • 84995312799 scopus 로고
    • On a nonlinear partial differential equation having natural growth terms and unbounded solution
    • Bensoussan A., Boccardo L., Murat F. On a nonlinear partial differential equation having natural growth terms and unbounded solution. Ann. Inst. H. Poincaré Anal. Non Linéaire 1988, 5:347-364.
    • (1988) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.5 , pp. 347-364
    • Bensoussan, A.1    Boccardo, L.2    Murat, F.3
  • 5
    • 60749130833 scopus 로고    scopus 로고
    • Some developments on Dirichlet problems with discontinuous coefficients
    • Boccardo L. Some developments on Dirichlet problems with discontinuous coefficients. Boll. Unione Mat. Ital. 2009, 2:285-297.
    • (2009) Boll. Unione Mat. Ital. , vol.2 , pp. 285-297
    • Boccardo, L.1
  • 6
    • 84922807236 scopus 로고    scopus 로고
    • Dirichlet problems with singular convection term and applications
    • Boccardo L. Dirichlet problems with singular convection term and applications. J. Differential Equations 2015, 258:2290-2314.
    • (2015) J. Differential Equations , vol.258 , pp. 2290-2314
    • Boccardo, L.1
  • 7
    • 84911452837 scopus 로고    scopus 로고
    • Elliptic Partial Differential Equations. Existence and Regularity of Distributional Solutions
    • De Gruyter, Berlin
    • Boccardo L., Croce G. Elliptic Partial Differential Equations. Existence and Regularity of Distributional Solutions. De Gruyter Studies in Mathematics 2014, vol. 55. De Gruyter, Berlin.
    • (2014) De Gruyter Studies in Mathematics , vol.55
    • Boccardo, L.1    Croce, G.2
  • 10
    • 0031469266 scopus 로고    scopus 로고
    • Existence and nonexistence of solutions for some nonlinear elliptic equations
    • Boccardo L., Gallouët T., Orsina L. Existence and nonexistence of solutions for some nonlinear elliptic equations. J. Anal. Math. 1997, 73:203-223.
    • (1997) J. Anal. Math. , vol.73 , pp. 203-223
    • Boccardo, L.1    Gallouët, T.2    Orsina, L.3
  • 11
    • 0000084723 scopus 로고
    • Existence de solutions non bornèes pour certaines equations quasi linèaires
    • Boccardo L., Murat F., Puel J.-P. Existence de solutions non bornèes pour certaines equations quasi linèaires. Port. Math. 1982, 41:507-534.
    • (1982) Port. Math. , vol.41 , pp. 507-534
    • Boccardo, L.1    Murat, F.2    Puel, J.-P.3
  • 12
    • 0001499310 scopus 로고
    • ∞ estimate for some nonlinear elliptic partial differential equations and application to an existence result
    • ∞ estimate for some nonlinear elliptic partial differential equations and application to an existence result. SIAM J. Math. Anal. 1992, 23:326-333.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 326-333
    • Boccardo, L.1    Murat, F.2    Puel, J.-P.3
  • 14
    • 79551545976 scopus 로고    scopus 로고
    • Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces
    • Bogachev V., Da Prato G., Röckner M. Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Comm. Partial Differential Equations 2011, 36:925-939.
    • (2011) Comm. Partial Differential Equations , vol.36 , pp. 925-939
    • Bogachev, V.1    Da Prato, G.2    Röckner, M.3
  • 19
    • 84892860445 scopus 로고    scopus 로고
    • On the existence of classical solutions for stationary extended mean field games
    • Gomes D.A., Patrizi S., Voskanyan V. On the existence of classical solutions for stationary extended mean field games. Nonlinear Anal. 2014, 99:49-79.
    • (2014) Nonlinear Anal. , vol.99 , pp. 49-79
    • Gomes, D.A.1    Patrizi, S.2    Voskanyan, V.3
  • 22
    • 84899464039 scopus 로고    scopus 로고
    • Mean field games models - a brief survey
    • Gomes D.A., Saúde J. Mean field games models - a brief survey. Dyn. Games Appl. 2014, 4:110-154.
    • (2014) Dyn. Games Appl. , vol.4 , pp. 110-154
    • Gomes, D.A.1    Saúde, J.2
  • 24
    • 33751077273 scopus 로고    scopus 로고
    • Jeux à champ moyen. II. Horizon fini et contròle optimal
    • Lasry J.-M., Lions P.-L. Jeux à champ moyen. II. Horizon fini et contròle optimal. C. R. Math. Acad. Sci. Paris 2006, 343:679-684.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.343 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2
  • 27
    • 84925014244 scopus 로고    scopus 로고
    • Weak solutions to Fokker-Planck equations and mean field games
    • Porretta A. Weak solutions to Fokker-Planck equations and mean field games. Arch. Ration. Mech. Anal. 2015, 216:1-62.
    • (2015) Arch. Ration. Mech. Anal. , vol.216 , pp. 1-62
    • Porretta, A.1
  • 28
    • 0000195746 scopus 로고
    • Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
    • Stampacchia G. Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier (Grenoble) 1965, 15:189-258.
    • (1965) Ann. Inst. Fourier (Grenoble) , vol.15 , pp. 189-258
    • Stampacchia, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.