24 citations · 47 across the 6 of their papers we have counts for
4 papers · 1 filter
On the spectrum of the Laplace-Beltrami operator for -forms for a class of warped product metrics
Francesca Antoci
We explicitely compute the essential spectrum of the Laplace-Beltrami operator for -forms for the class of warped product metrics , w…
On the spectrum of the Laplace-Beltrami operator for p-forms on asymptotically hyperbolic manifolds
Francesca Antoci
Under suitable conditions on the asymptotic decay of the metric, we compute the essential spectrum of the Laplace-Beltrami operator acting on -forms on asymptotically hyperbolic…
Some necessary and some sufficient conditions for the compactness of the embedding of weighted Sobolev spaces
Francesca Antoci
We give some necessary conditions and sufficient conditions for the compactness of the embedding of Sobolev spaces where is some weight on a domain…
An application of scattering theory to the spectrum of the Laplace-Beltrami operator
Francesca Antoci
Applying a theorem due to Belopol'ski and Birman, we show that the Laplace-Beltrami operator on 1-forms on endowed with an asymptotically Euclidean metric has absolutel…