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Journal fur die Reine und Angewandte Mathematik
Volumn 487, Issue , 1997, Pages 115-124
On the second boundary value problem for equations of Monge-Ampère type
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EID: 0031446633     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (160)
References (13)
  • 1
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    • Polar factorization and monotone rearrangement of vector valued functions
    • Y. Brenier, Polar factorization and monotone rearrangement of vector valued functions, Comm. Pure Appl. Math. 44 (1991), 375-417.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 375-417
    • Brenier, Y.1
  • 2
    • 0002068394 scopus 로고
    • 2, p estimates for solutions of the Monge-Ampère equation
    • 2, p estimates for solutions of the Monge-Ampère equation, Ann. Math. 131 (1990), 135-150.
    • (1990) Ann. Math. , vol.131 , pp. 135-150
    • Caffarelli, L.1
  • 3
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    • The regularity of mappings with a convex potential
    • L. Caffarelli, The regularity of mappings with a convex potential, J. Amer. Math. Soc. 5 (1992), 99-104.
    • (1992) J. Amer. Math. Soc. , vol.5 , pp. 99-104
    • Caffarelli, L.1
  • 4
    • 84990563964 scopus 로고
    • Boundary regularity of maps with convex potentials
    • L. Caffarelli, Boundary regularity of maps with convex potentials, Comm. Pure Appl. Math. 45 (1992), 1141-1151.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1141-1151
    • Caffarelli, L.1
  • 5
    • 84990580987 scopus 로고
    • The dirichlet problem for nonlinear second order elliptic equations I. Monge-Ampère equation
    • L. Caffarelli, L. Nirenberg, J. Spruck, The Dirichlet problem for nonlinear second order elliptic equations I. Monge-Ampère equation, Comm. Pure Appl. Math. 37 (1984), 369-402.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 369-402
    • Caffarelli, L.1    Nirenberg, L.2    Spruck, J.3
  • 6
    • 85012863369 scopus 로고
    • Classical solvability in dimension two of the second boundary value problem associated with the Monge-ampère operator
    • Ph. Delanoë, Classical solvability in dimension two of the second boundary value problem associated with the Monge-Ampère operator, Ann. Inst. Henri Poincaré-Anal. Non Lin. 8 (1991), 443-457.
    • (1991) Ann. Inst. Henri Poincaré-anal. Non Lin. , vol.8 , pp. 443-457
    • Delanoë, Ph.1
  • 8
    • 84967800148 scopus 로고
    • Nonlinear oblique boundary value problems for nonlinear elliptic equations
    • G.M. Lieberman, N.S. Trudinger, Nonlinear oblique boundary value problems for nonlinear elliptic equations, Trans. Amer. Math. Soc. 295 (1986), 509-546.
    • (1986) Trans. Amer. Math. Soc. , vol.295 , pp. 509-546
    • Lieberman, G.M.1    Trudinger, N.S.2
  • 10
    • 85012247308 scopus 로고
    • Nonlinear oblique boundary value problems for hessian equations in two dimensions
    • J. Urbas, Nonlinear oblique boundary value problems for Hessian equations in two dimensions, Ann. Inst. Henri Poincaré-Anal. Non Lin. 12 (1995), 507-575.
    • (1995) Ann. Inst. Henri Poincaré-anal. Non Lin. , vol.12 , pp. 507-575
    • Urbas, J.1
  • 11
    • 0001032062 scopus 로고    scopus 로고
    • Nonlinear oblique boundary value problems for two dimensional curvature equations
    • J. Urbas, Nonlinear oblique boundary value problems for two dimensional curvature equations, Adv. Diff. Equ. 1 (1996), 301-336.
    • (1996) Adv. Diff. Equ. , vol.1 , pp. 301-336
    • Urbas, J.1
  • 12
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    • Nonlinear oblique boundary value problems for equations of Monge-Ampère type
    • J. Urbas, Nonlinear oblique boundary value problems for equations of Monge-Ampère type, Calc. Var.
    • Calc. Var.
    • Urbas, J.1

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