Luigi Provenzano

most citedOn Trace Theorems for Sobolev Spaces

4 citations · 4 across the 1 of their papers we have counts for

collaborators

3 papers

math.FA2019★ 4 cited

On Trace Theorems for Sobolev Spaces

Pier Domenico Lamberti, Luigi Provenzano

We survey a few trace theorems for Sobolev spaces on $N$ -dimensional Euclidean domains. We include known results on linear subspaces, in particular hyperspaces, and smooth boundari…

math.SP2019

On the explicit representation of the trace space $H^{\frac{3}{2}}$ 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 $H^{2} (Ω)$ on the boundary of a Lipschitz domain $Ω$ of $R^{N}$ , $N \geq 2$ . We provide a definition of those sp…

math.SP2016

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…

On Trace Theorems for Sobolev Spaces

On the explicit representation of the trace space H23​ and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems

Neumann to Steklov eigenvalues: asymptotic and monotonicity results

On the explicit representation of the trace space $H^{\frac{3}{2}}$ and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems