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.
The Robin–Laplacian problem on varying domains
GIACOMINI, Alessandro;TREBESCHI, Paola
2016-01-01
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.File in questo prodotto:
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