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

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11379/484564
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