H. Bosch

activity

20152022

most citedA criterion for the existence of zero modes for the Pauli operator with fastly decaying fields

8 citations · 8 across the 2 of their papers we have counts for

collaborators

Showing math-phShow all

2 papers · 1 filter

math-ph2018

Gagliardo-Nirenberg-Sobolev inequalities for convex domains in $R^{d}$

Rafael D. Benguria, Cristobal Vallejos, Hanne Van Den Bosch

A special type of Gagliardo-Nirenberg-Sobolev (GNS) inequalities in $R^{d}$ has played a key role in several proofs of Lieb-Thirring inequalities. Recently, a need for GNS i…

math-ph2015★ 8 cited

A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields

Rafael D. Benguria, Hanne Van Den Bosch

We consider the Pauli operator in $R^{3}$ for magnetic fields in $L^{3/2}$ that decay at infinity as $∣ x ∣^{- 2 - β}$ with $β > 0$ . In this case we are able to prove that the exis…

Gagliardo-Nirenberg-Sobolev inequalities for convex domains in Rd

A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields

Gagliardo-Nirenberg-Sobolev inequalities for convex domains in $R^{d}$