Mixed exterior Laplace's problem

被引：23

作者：

Amrouche, Cherif ^{[1
]}

Bonzom, Florian ^{[1
]}

机构：

[1] Univ Pau & Pays Adour, IPRA, CNRS, Lab Math Appl,UMR 5142, F-64000 Pau, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 338卷 / 01期

关键词：

weighted Sobolev spaces; Laplacian; mixed boundary conditions; Poincare type inequality;

D O I：

10.1016/j.jmaa.2007.04.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [C. Amrouche, V. Girault, J. Giroire, Dirichlet and Neumann exterior problems for the n-dimensional Laplace operator. An approach in weighted Sobolev spaces, J. Math. Pures Appl. 76 (1997) 55-81], authors study Dirichlet and Neumann problems for the Laplace operator in exterior domains of R-n. This paper extends this study to the resolution of a mixed exterior Laplace's problem. Here, we give existence, unicity and regularity results in L-P's theory with 1 < p < infinity, in weighted Sobolev spaces. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：124 / 140

页数：17

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