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20182026
most citedEquivalence of Sobolev norms involving generalized Hardy operators

25 citations · 84 across the 16 of their papers we have counts for

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math-ph2018★ 3 cited

The Atomic Density on the Thomas--Fermi Length Scale for the Chandrasekhar Hamiltonian

Konstantin Merz, Heinz Siedentop

We consider a large neutral atom of atomic number , modeled by a pseudo-relativistic Hamiltonian of Chandrasekhar. We study its suitably rescaled one-particle ground state densi…

math.AP2018★ 25 cited

Equivalence of Sobolev norms involving generalized Hardy operators

Rupert L. Frank, Konstantin Merz, Heinz Siedentop

We consider the fractional Schrödinger operator with Hardy potential and critical or subcritical coupling constant. This operator generates a natural scale of homogeneous Sobolev s…