THE DIRICHLET PROBLEM FOR NONLINEAR 2ND-ORDER ELLIPTIC-EQUATIONS .2. COMPLEX MONGE-AMPERE, AND UNIFORMLY ELLIPTIC, EQUATIONS

被引：232

作者：

CAFFARELLI, L

KOHN, JJ

NIRENBERG, L

SPRUCK, J

机构：

[1] PRINCETON UNIV,PRINCETON,NJ 08544

[2] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

[3] UNIV MASSACHUSETTS,AMHERST,MA 01003

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1985年 / 38卷 / 02期

关键词：

D O I：

10.1002/cpa.3160380206

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：209 / 252

页数：44

共 38 条

[1]

Aubin T., 1982, MONGE AMPERE EQUATIO, V252

[2] STRICTLY PSEUDO-CONVEX DOMAINS IN CN [J].

BEALS, M ;

FEFFERMAN, C ;

GROSSMAN, R .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 8 (02) :125-322

[3] DIRICHLET PROBLEM FOR A COMPLEX MONGE-AMPERE EQUATION [J].

BEDFORD, E ;

TAYLOR, BA .

INVENTIONES MATHEMATICAE, 1976, 37 (01) :1-44

[4] VARIATIONAL PROPERTIES OF THE COMPLEX MONGE-AMPERE EQUATION .2. INTRINSIC NORMS [J].

BEDFORD, E ;

TAYLOR, BA .

AMERICAN JOURNAL OF MATHEMATICS, 1979, 101 (05) :1131-1166

[5] VARIATIONAL PROPERTIES OF COMPLEX MONGE-AMPERE EQUATION .1. DIRICHLET PRINCIPLE [J].

BEDFORD, E ;

TAYLOR, BA .

DUKE MATHEMATICAL JOURNAL, 1978, 45 (02) :375-403

[6]

BEDFORD E, 1979, INVENT MATH, V50, P129

[7]

BEDFORD E, 1979, PARTIAL DIFFERENTIAL, P39

[8] VARIATIONAL INEQUALITY APPROACH TO THE BELLMAN-DIRICHLET EQUATION FOR 2 ELLIPTIC OPERATORS [J].

BREZIS, H ;

EVANS, LC .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1979, 71 (01) :1-13

[9] THE DIRICHLET PROBLEM FOR NONLINEAR 2ND-ORDER ELLIPTIC-EQUATIONS .1. MONGE-AMPERE EQUATION [J].

CAFFARELLI, L ;

NIRENBERG, L ;

SPRUCK, J .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (03) :369-402

[10] ON THE EXISTENCE OF A COMPLETE KAHLER METRIC ON NON-COMPACT COMPLEX-MANIFOLDS AND THE REGULARITY OF FEFFERMANS EQUATION [J].

CHENG, SY ;

YAU, ST .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (04) :507-544

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