The Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains of the plane

被引:0
|
作者
Boccia, Serena [1 ]
Salvato, Maria [1 ]
Transirico, Maria [1 ]
机构
[1] Univ Salerno, Dipartimento Matemat, Fisciano, SA, Italy
关键词
elliptic equations; discontinuous coefficients; weighted spaces; EXISTENCE;
D O I
10.2478/s12175-013-0173-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with the Dirichlet problem for second order linear elliptic equations in unbounded domains of the plane in weighted Sobolev spaces. We prove an a priori bound and an existence and uniqueness result. (C) 2013 Mathematical Institute Slovak Academy of Sciences
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收藏
页码:1321 / 1332
页数:12
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