Calculus of Variations and Geometric Measure Theory
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D. Bucur - A. Giacomini - P. Trebeschi

The Robin-Laplacian problem on varying domains

created by bucur on 09 Mar 2016

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Submitted Paper

Inserted: 9 mar 2016
Last Updated: 9 mar 2016

Year: 2016

Abstract:

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.


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