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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 2011Show all

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math.AP2011★ 22 cited

Steklov-type eigenvalues associated with best Sobolev trace constants: domain perturbation and overdetermined systems

Pier Domenico Lamberti

We consider a variant of the classic Steklov eigenvalue problem, which arises in the study of the best trace constant for functions in Sobolev space. We prove that the elementary s…

math.AP2011★ 4 cited

Spectral stability estimates for elliptic operators subject to domain transformations with non-uniformly bounded gradients

Gerassimos Barbatis, Pier Domenico Lamberti

We consider uniformly elliptic operators with Dirichlet or Neumann homogeneous boundary conditions on a domain in . We consider deformations of obtai…