F. Antoci

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20012004

most citedSome necessary and some sufficient conditions for the compactness of the embedding of weighted Sobolev spaces

24 citations · 47 across the 7 of their papers we have counts for

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Showing 2003 · math.SPShow all

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math.SP2003

On the spectrum of the Laplace-Beltrami operator for $p$ -forms for a class of warped product metrics

Francesca Antoci

We explicitely compute the essential spectrum of the Laplace-Beltrami operator for $p$ -forms for the class of warped product metrics $d σ^{2} = y^{2 a} d y^{2} + y^{2 b} d θ_{\partial M}^{2}$ , w…

math.SP2003★ 2 cited

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 $p$ -forms on asymptotically hyperbolic…

math.SP2003

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 $R^{n}$ endowed with an asymptotically Euclidean metric has absolutel…

On the spectrum of the Laplace-Beltrami operator for p-forms for a class of warped product metrics

On the spectrum of the Laplace-Beltrami operator for p-forms on asymptotically hyperbolic manifolds

An application of scattering theory to the spectrum of the Laplace-Beltrami operator

On the spectrum of the Laplace-Beltrami operator for $p$ -forms for a class of warped product metrics