Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces

被引：11
|
作者：
Kim, Doyoon [1 ]
机构：
[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 02期
关键词：
weighted Sobolev spaces; traces; elliptic equations; nonzero boundary conditions;
D O I：
10.1016/j.jmaa.2007.04.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present weighted Sobolev spaces (H) over tilde (gamma)(p,theta)(Omega) along with a trace theorem and an interpolation theorem for the spaces. Then we solve nonzero boundary value problems for elliptic equations in (H) over tilde (gamma)(p,theta)(Omega). (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：1465 / 1479
页数：15
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