The Robin-Laplacian problem on varying domains

被引：9

作者：

Bucur, Dorin ^{[1
]}

Giacomini, Alessandro ^{[2
]}

Trebeschi, Paola ^{[2
]}

机构：

[1] Univ Savoie Mt Blanc, Math Lab, Inst Univ France, CNRS,UMR 5127, Campus Sci, F-73376 Le Bourget Du Lac, France

[2] Univ Brescia, Sez Matemat, DICATAM, Via Branze 43, I-25123 Brescia, Italy

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 55卷 / 06期

关键词：

26A45; 35J20; 47J30;

D O I：

10.1007/s00526-016-1073-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a stability result for elliptic equations under general Dirichlet-Robin boundary conditions with respect to the variation of the domain under the Hausdorff complementary topology. As a by-product, under the additional assumption of the convergence of the perimeters, we obtain a stability result for the classical Robin-Laplacian.

引用

页数：29

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