18 citations · 47 across the 14 of their papers we have counts for
4 papers · 1 filter
Eigenvalues of the Finsler -Laplacian on varying domains
Giuseppina di Blasio, Pier Domenico Lamberti
We study the dependence of the first eigenvalue of the Finsler -Laplacian and the corresponding eigenfunctions upon perturbation of the domain and we generalize a few results kn…
On a Babuška paradox for polyharmonic operators: spectral stability and boundary homogenization for intermediate problems
Francesco Ferraresso, Pier Domenico Lamberti
We analyse the spectral convergence of high order elliptic differential operators subject to singular domain perturbations and homogeneous boundary conditions of intermediate type.…
On Trace Theorems for Sobolev Spaces
Pier Domenico Lamberti, Luigi Provenzano
We survey a few trace theorems for Sobolev spaces on -dimensional Euclidean domains. We include known results on linear subspaces, in particular hyperspaces, and smooth boundari…
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…