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20082026
most citedSharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators

37 citations · 209 across the 33 of their papers we have counts for

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Showing 2015Show all

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math.AP2015

Monotonicity, continuity and differentiability results for the Hardy constant

Gerassimos Barbatis, Pier Domenico Lamberti

We consider the Hardy inequality involving the distance to the boundary for a domain in the -dimensional Euclidean space. We study the dependence on of the correspondi…

math.AP2015★ 33 cited

Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems

José M. Arrieta, Pier Domenico Lamberti

We study the spectral behavior of higher order elliptic operators upon domain perturbation. We prove general spectral stability results for Dirichlet, Neumann and intermediate boun…