W2,P-SOLVABILITY OF THE DIRICHLET PROBLEM FOR NONDIVERGENCE ELLIPTIC-EQUATIONS WITH VMO COEFFICIENTS

被引：389
作者：
CHIARENZA, F
FRASCA, M
LONGO, P
机构：
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 336卷 / 02期
关键词：
D O I：
10.2307/2154379
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a well-posedness result in the class W2, p and W0(1, P) for the Dirichlet problem [GRAPHICS] We assume the coefficients of the elliptic nondivergence form equation that we study are in VMO and L(infinity).
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页码：841 / 853
页数：13
相关论文
共 17 条
[1]   2ND-ORDER ELLIPTIC-EQUATIONS WHOSE COEFFICIENTS HAVE THEIR 1ST DERIVATIVES WEAKLY-LN [J].
ALVINO, A ;
TROMBETTI, G .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1984, 138 :331-340
[2]   INTERIOR A PRIORI ESTIMATES FOR SOLUTIONS OF FULLY NON-LINEAR EQUATIONS [J].
CAFFARELLI, LA .
ANNALS OF MATHEMATICS, 1989, 130 (01) :189-213
[3]  
CANFORA A, 1989, CZECH MATH J, V39, P385
[4]   AN ELLIPTIC EQUATION IN R3 WITH DISCONTINUOUS AND NON-DERIVABLE COEFFICIENTS [J].
CANFORA, A ;
ZECCA, P .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1985, 141 :369-384
[5]  
CHIARENZA F, IN PRESS RICERCHE MA
[6]  
COIFMAN R, 1976, ANN MATH, V103
[7]  
Garcia-Cuerva J., 1985, NORTH HOLLAND MATH S, V116
[8]  
GILBART D, 1983, ELLIPTIC PARTIAL DIF
[9]  
GRECO D., 1956, RIC MAT, V5, P126
[10]  
KOCHELEV AI, 1956, MAT SBORNIK, V38, P359
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