4 citations · 4 across the 5 of their papers we have counts for
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Remarks on Weyl-type bounds for Steklov eigenvalues
Luigi Provenzano
We prove that, for , there is no constant depending only on such that the Steklov eigenvalues satisfy $|\partialΩ|^{\frac 1{n-1}}σ_k(Ω)\leq C_nk^{\fra…
On a shape optimisation problem for Maxwell's eigenvalues on cuboids
Pier Domenico Lamberti, Luigi Provenzano, Rebecca Sempio
We consider an optimisation problem for the elementary symmetric functions of the first three Maxwell's eigenvalues on cuboids under volume and perimeter constraint, and we show th…
On the explicit representation of the trace space and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems
Pier Domenico Lamberti, Luigi Provenzano
We consider the problem of describing the traces of functions in on the boundary of a Lipschitz domain of , . We provide a definition of those sp…
Neumann to Steklov eigenvalues: asymptotic and monotonicity results
Pier Domenico Lamberti, Luigi Provenzano
We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of mass concentration at the boundary of a ball. We discuss the asymptotic…