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density functional theory 1electronic structure 1high-performance computing 1open-source software 1plane-wave methods 1pseudopotentials 1

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19932026
most citedQuantum ESPRESSO: a modular and open-source software project for quantum simulations of materials

29.3k citations

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Showing 2012 · math.APShow all

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math.AP2012★ 27 cited

Weighted Sobolev spaces of radially symmetric functions

Roberta Musina

We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin. Then we discuss the existen…