Nonlinear Neumann-Transmission Problems for Stokes and Brinkman Equations on Euclidean Lipschitz Domains

被引：45
作者：
Kohr, Mirela [1 ]
Lanza de Cristoforis, Massimo [2 ]
Wendland, Wolfgang L. [3 ]
机构：
[1] Univ Babes Bolyai, Fac Math & Comp Sci, 1 M Kogalniceanu St, Cluj Napoca 400084, Romania
[2] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy
[3] Univ Stuttgart, Inst Angew Anal & Numer Simulat, D-70569 Stuttgart, Germany
来源：
POTENTIAL ANALYSIS | 2013年 / 38卷 / 04期
关键词：
Stokes and Brinkman operators; Lipschitz domain; Nonlinear boundary value problem; Layer potential operators; BOUNDARY-VALUE-PROBLEMS; INHOMOGENEOUS DIRICHLET PROBLEM; INTEGRAL-EQUATIONS; LAPLACES-EQUATION; ELLIPTIC-SYSTEMS; ELEMENT METHOD; C-1; DOMAINS; OPERATORS; SOBOLEV; SPACES;
D O I：
10.1007/s11118-012-9310-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to use a layer potential analysis and the Leray-Schauder degree theory to show an existence result for a nonlinear Neumann-transmission problem corresponding to the Stokes and Brinkman operators on Euclidean Lipschitz domains with boundary data in L-p spaces, Sobolev spaces, and also in Besov spaces.
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页码：1123 / 1171
页数：49
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