Lp-estimates of the solution of the Dirichlet problem for second-order elliptic equations

被引：9
作者：
Alkhutov, YA [1 ]
机构：
[1] Vladimir State Pedag Univ, Vladimir, Russia
来源：
SBORNIK MATHEMATICS | 1998年 / 189卷 / 1-2期
关键词：
D O I：
10.1070/SM1998v189n01ABEH000287
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Dirichlet problem for second-order divergence-form elliptic equations with coefficients continuous in a closed domain is considered. A necessary and sufficient condition on the boundary of a compact domain ensuring the unique L-p-solubility of the problem in question and also a corresponding coercive L-p-estimate for all p > 1 are obtained.
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页码：1 / 17
页数：17
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