Duke Mathematical Journal

$C_2$ a priori estimates for degenerate Monge-Ampère equations

Pengfei Guan
Source: Duke Math. J. Volume 86, Number 2 (1997), 323-346.
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Primary Subjects: 35J65
Secondary Subjects: 35B45, 35J70
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077242669
Mathematical Reviews number (MathSciNet): MR1430436
Zentralblatt MATH identifier: 0879.35059
Digital Object Identifier: doi:10.1215/S0012-7094-97-08610-5

References

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Mathematical Reviews (MathSciNet): MR92h:35088
Zentralblatt MATH: 0761.35028
Digital Object Identifier: doi:10.1002/cpa.3160440809
[CKNS] L. Caffarelli, J. J. Kohn, L. Nirenberg, and J. Spruck, The Dirichlet problem for nonlinear second-order elliptic equations. II. Complex Monge-Ampère, and uniformly elliptic, equations, Comm. Pure Appl. Math. 38 (1985), no. 2, 209–252.
Mathematical Reviews (MathSciNet): MR87f:35097
Zentralblatt MATH: 0598.35048
Digital Object Identifier: doi:10.1002/cpa.3160380206
[CNS1] L. Caffarelli, L. Nirenberg, and J. Spruck, The Dirichlet problem for nonlinear second-order elliptic equations, I: Monge-Ampère equation, Comm. Pure Appl. Math. 37 (1984), no. 3, 369–402.
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Digital Object Identifier: doi:10.1002/cpa.3160370306
[CNS2] L. Caffarelli, L. Nirenberg, and J. Spruck, The Dirichlet problem for the degenerate Monge-Ampère equation, Rev. Mat. Iberoamericana 2 (1986), no. 1-2, 19–27.
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Digital Object Identifier: doi:10.1017/S000497270002089X
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Digital Object Identifier: doi:10.1017/S0004972700002069
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Mathematical Reviews (MathSciNet): MR95d:35025
Zentralblatt MATH: 0822.35054
Digital Object Identifier: doi:10.2307/2160809

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