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

被引：453

作者：

CAFFARELLI, L

NIRENBERG, L

SPRUCK, J

机构：

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

[2] CUNY BROOKLYN COLL,BROOKLYN,NY 11210

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1984年 / 37卷 / 03期

关键词：

D O I：

10.1002/cpa.3160370306

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：369 / 402

页数：34

共 25 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].

AGMON, S ;

DOUGLIS, A ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727

[2] REAL MONGE-AMPERE EQUATIONS [J].

AUBIN, T .

JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 41 (03) :354-377

[3]

Calabi E., 1958, MICHIGAN MATH J, V5, P105, DOI 10.1307/mmj/1028998055

[4] REGULARITY OF MONGE-AMPERE EQUATION DET (D2U/DXIDXJ) = F(X,U) [J].

CHENG, SY ;

YAU, ST .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1977, 30 (01) :41-68

[5]

CHENG SY, 1982, REAL MONGE AMPERE EQ, V1, P339

[6]

CHENG SY, 1976, COMMUN PUR APPL MATH, V19, P495

[7]

Evans L. C., 1982, COMMUN PUR APPL MATH, V35, P333

[8] SYMMETRY AND RELATED PROPERTIES VIA THE MAXIMUM PRINCIPLE [J].

GIDAS, B ;

NI, WM ;

NIRENBERG, L .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (03) :209-243

[9]

IVOCHKINA N. M., 1980, ZAP NAUCHN SEM LENIN, V96, P69

[10]

Krylov N. V., 1983, IZV AKAD NAUK SSSR M, V47, P75

← 1 2 3 →