메뉴 건너뛰기




Volumn 17, Issue 6, 2012, Pages 1729-1750

Existence and compactness for weak solutions to bellman systems with critical growth

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84870749083     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2012.17.1729     Document Type: Article
Times cited : (6)

References (27)
  • 1
    • 0002295157 scopus 로고
    • Nonlinear elliptic systems in stochastic game theory
    • A. Bensoussan and J. Frehse, Nonlinear elliptic systems in stochastic game theory, J. Reine Angew. Math., 350 (1984), 23-67.
    • (1984) J. Reine Angew. Math. , vol.350 , pp. 23-67
    • Bensoussan, A.1    Frehse, J.2
  • 2
    • 24044546303 scopus 로고
    • Ca-regularity results for quasilinear parabolic systems
    • A. Bensoussan and J. Frehse, Ca-regularity results for quasilinear parabolic systems, Comment. Math. Univ. Carolin., 31 (1990), 453-474.
    • (1990) Comment. Math. Univ. Carolin. , vol.31 , pp. 453-474
    • Bensoussan, A.1    Frehse, J.2
  • 3
    • 23244453310 scopus 로고    scopus 로고
    • Regularity results for nonlinear elliptic systems and applications
    • Springer-Verlag, Berlin
    • A. Bensoussan and J. Frehse, "Regularity Results for Nonlinear Elliptic Systems and Applications," Applied Mathematical Sciences, 151, Springer-Verlag, Berlin, 2002.
    • (2002) Applied Mathematical Sciences , vol.151
    • Bensoussan, A.1    Frehse, J.2
  • 4
    • 35348963707 scopus 로고    scopus 로고
    • Smooth solutions of systems of quasilinear parabolic equations
    • A tribute to J. L. Lions, electronic
    • A. Bensoussan and J. Frehse, Smooth solutions of systems of quasilinear parabolic equations, A tribute to J. L. Lions, ESAIM Control Optim. Calc. Var., 8 (2002), 169-193 (electronic).
    • (2002) ESAIM Control Optim. Calc. Var. , Issue.8 , pp. 169-193
    • Bensoussan, A.1    Frehse, J.2
  • 5
    • 54249168447 scopus 로고    scopus 로고
    • Systems of Bellman equations to stochastic differential games with discount control
    • A. Bensoussan and J. Frehse, Systems of Bellman equations to stochastic differential games with discount control, Boll. Unione Mat. Ital. (9), 1 (2008), 663-681.
    • (2008) Boll. Unione Mat. Ital. , vol.1 , Issue.9 , pp. 663-681
    • Bensoussan, A.1    Frehse, J.2
  • 6
    • 79951854857 scopus 로고    scopus 로고
    • Diagonal elliptic Bellman systems to stochastic differential games with discount control and noncompact coupling
    • A. Bensoussan and J. Frehse, Diagonal elliptic Bellman systems to stochastic differential games with discount control and noncompact coupling, Rend. Mat. Appl. (7), 29 (2009), 1-16.
    • (2009) Rend. Mat. Appl. , vol.29 , Issue.7 , pp. 1-16
    • Bensoussan, A.1    Frehse, J.2
  • 7
    • 84870753570 scopus 로고    scopus 로고
    • On a class of nonlinear elliptic systems with applications to Stackelberg and Nash differential games
    • to appear
    • A. Bensoussan, J. Frehse and J. Vogelgesang, On a class of nonlinear elliptic systems with applications to Stackelberg and Nash differential games, Chin. Ann. Math., to appear, 2010.
    • (2010) Chin. Ann. Math.
    • Bensoussan, A.1    Frehse, J.2    Vogelgesang, J.3
  • 8
    • 77954335214 scopus 로고    scopus 로고
    • Systems of Bellman equations to stochastic differential games with non-compact coupling
    • A. Bensoussan, J. Frehse and J. Vogelgesang, Systems of Bellman equations to stochastic differential games with non-compact coupling, Discrete Contin. Dyn. Syst., 27 (2010), 1375- 1389.
    • (2010) Discrete Contin. Dyn. Syst. , vol.27 , pp. 1375-1389
    • Bensoussan, A.1    Frehse, J.2    Vogelgesang, J.3
  • 10
    • 77951725851 scopus 로고    scopus 로고
    • The Fatou lemma approach to the existence in quasilinear elliptic equations with natural growth terms
    • L. Boccardo, The Fatou lemma approach to the existence in quasilinear elliptic equations with natural growth terms, Complex Var. Elliptic Equ., 55 (2010), 445-453.
    • (2010) Complex Var. Elliptic Equ. , vol.55 , pp. 445-453
    • Boccardo, L.1
  • 11
    • 79851514433 scopus 로고    scopus 로고
    • On nonlinear elliptic Bellman systems for a class of stochastic differential games in arbitrary dimension
    • M. Bulícek and J. Frehse, On nonlinear elliptic Bellman systems for a class of stochastic differential games in arbitrary dimension, Math. Models Methods Appl. Sci., 21 (2011), 215-240.
    • (2011) Math. Models Methods Appl. Sci. , vol.21 , pp. 215-240
    • Bulícek, M.1    Frehse, J.2
  • 12
    • 0003347615 scopus 로고
    • Deterministic and stochastic optimal control
    • Springer-Verlag, Berlin-New York
    • W. H. Fleming and R. W. Rishel, "Deterministic and Stochastic Optimal Control," Applications of Mathematics, No. 1, Springer-Verlag, Berlin-New York, 1975.
    • (1975) Applications of Mathematics , Issue.1
    • Fleming, W.H.1    Rishel, R.W.2
  • 13
    • 0346225580 scopus 로고
    • A discontinuous solution of a mildly nonlinear elliptic system
    • J. Frehse, A discontinuous solution of a mildly nonlinear elliptic system, Math. Z., 134 (1973), 229-230.
    • (1973) Math. Z. , vol.134 , pp. 229-230
    • Frehse, J.1
  • 14
    • 28844435535 scopus 로고
    • Existence and perturbation theorems for nonlinear elliptic systems
    • Collège de France Seminar, Res. Notes in Math., 84, Pitman, Boston, MA, (1983), Paris
    • J. Frehse, Existence and perturbation theorems for nonlinear elliptic systems, in "Nonlinear Partial Differential Equations and their Applications," Collège de France Seminar, Vol. IV (Paris, 1981/1982), Res. Notes in Math., 84, Pitman, Boston, MA, (1983), 87-111.
    • (1981) Nonlinear Partial Differential Equations and their Applications , vol.4 , pp. 87-111
    • Frehse, J.1
  • 15
    • 0041641019 scopus 로고
    • A refinement of rellich's theorem
    • J. Frehse, A refinement of Rellich's theorem, Rend. Mat. (7), 5 (1985), 229-242.
    • (1985) Rend. Mat. , vol.5 , Issue.7 , pp. 229-242
    • Frehse, J.1
  • 16
    • 35348940929 scopus 로고
    • Remarks on diagonal elliptic systems
    • Lecture Notes in Math., 1357 Springer, Berlin
    • J. Frehse, Remarks on diagonal elliptic systems, in "Partial Differential Equations and Calculus of Variations," Lecture Notes in Math., 1357, Springer, Berlin, (1988), 198-210.
    • (1988) Partial Differential Equations and Calculus of Variations , pp. 198-210
    • Frehse, J.1
  • 18
    • 0040236390 scopus 로고
    • Stochastic differential equations and applications
    • 28, Academic Press [Harcourt Brace Jovanovich Publishers], New York-London
    • A. Friedman, "Stochastic Differential Equations and Applications," Vol. 2, Probability and Mathematical Statistics, Vol. 28, Academic Press [Harcourt Brace Jovanovich Publishers], New York-London, 1976.
    • (1976) Probability and Mathematical Statistics , vol.2
    • Friedman, A.1
  • 21
    • 0001156676 scopus 로고
    • Linear and quasilinear equations of parabolic type
    • Translated from the Russian by S. Smith, American Mathematical Society, Providence, R.I.
    • O. A. Ladyžhenskaya, V. A. Solonnikov and N. N. Ural0ceva, "Linear and Quasilinear Equations of Parabolic Type," Translated from the Russian by S. Smith, Translations of Mathematical Monographs, Vol. 23, American Mathematical Society, Providence, R.I., 1967.
    • (1967) Translations of Mathematical Monographs , vol.23
    • Ladyžhenskaya, O.A.1    Solonnikov, V.A.2    Uraloceva, N.N.3
  • 22
    • 0003690983 scopus 로고
    • Translated from the Russian by Scripta Technica, Inc., Translation editor: Leon Ehrenpreis, Academic Press, New York-London
    • O. A. Ladyžhenskaya and N. N. Ural'ceva, "Linear and Quasilinear Elliptic Equations," Translated from the Russian by Scripta Technica, Inc., Translation editor: Leon Ehrenpreis, Academic Press, New York-London, 1968.
    • (1968) Linear and Quasilinear Elliptic Equations
    • Ladyžhenskaya, O.A.1    Ural'ceva, N.N.2
  • 23
    • 0040294883 scopus 로고
    • On the existence of weak solutions of perturbated systems with critical growth
    • R. Landes, On the existence of weak solutions of perturbated systems with critical growth, J. Reine Angew. Math., 393 (1989), 21-38.
    • (1989) J. Reine Angew. Math. , vol.393 , pp. 21-38
    • Landes, R.1
  • 24
    • 0001764754 scopus 로고
    • L'injection du cône positif de H-1 dans W-1; q est compacte pour tout q <
    • F. Murat, L'injection du cône positif de H-1 dans W-1; q est compacte pour tout q < 2, J. Math. Pures Appl. (9), 60 (1981), 309-322.
    • (1981) J. Math. Pures Appl. , vol.60 , Issue.9 , pp. 309-322
    • Murat, F.1
  • 25
    • 84870728117 scopus 로고
    • Über die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger Bedingung
    • W. von Wahl and M. Wiegner, Über die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger Bedingung, Manuscripta Math., 19 (1976), 385-399.
    • (1976) Manuscripta Math. , vol.19 , pp. 385-399
    • Von Wahl, W.1    Wiegner, M.2
  • 26
    • 0011549124 scopus 로고
    • Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme
    • M. Wiegner, Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme, Math. Z., 147 (1976), 21-28.
    • (1976) Math. Z. , vol.147 , pp. 21-28
    • Wiegner, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.