112 citations · 1.1k across the 124 of their papers we have counts for
Showing 2009 · math-phShow all
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math-ph2009★ 5 cited
Can one hear the density of a drum? Weyl's law for inhomogeneous media
Paolo Amore
We generalize Weyl's law to inhomogeneous bodies in dimensions. Using a perturbation scheme recently obtained by us in Ref. \cite{Amore09}, we have derived an explicit formula,…
math-ph2009
The virial theorem for nonlinear problems
Paolo Amore, Francisco M Fernández
We show that the virial theorem provides a useful simple tool for approximating nonlinear problems. In particular we consider conservative nonlinear oscillators and a bifurcation p…
math-ph2009★ 1 cited
He's amazing calculations with the Ritz method
Paolo Amore, Francisco M. Fernande
We discuss an earlier application of the Ritz variational method for strongly nonlinear problems. We clearly prove that the results derived for several extremely simple problems of…