AbstractHardy and Sobolev-type inequalities in Lp(Rn),1<p<∞,n⩾2, associated with magnetic fields, are discussed, with particular emphasis on the sharpness, or otherwise, of constants. Similar inequalities in the case p=2,n=2 for Aharonov–Bohm-type magnetic fields have already been determined by Laptev/Weidl and Balinsky/Evans/Lewis
A quick and transparent proof for Bargmann’s inequality and an analogue for two-dimensional magnetic...
We investigate Hardy-Rellich inequalities for perturbed Laplacians. In particular, we show that a no...
The aim of this note is to survey recent results contained in Nguyen H-M, Squassina M. [On anisotrop...
This paper is devoted to a collection of results on nonlinear interpolation inequalities associated ...
We deal with Dirac operators with external homogeneous magnetic fields. Hardy-type inequalities rela...
In this article, we introduce a notion of magnetic field in the Heisenberg group and we study its in...
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of s...
AbstractThe paper concerns the magnetic Schrödinger operator H(a,V)=∑j=1n(1i∂∂xj−aj)2+V on Rn. Under...
In this paper we prove the Hardy inequalities for the quadratic form of the Laplacian with the Landa...
A quick and transparent proof for Bargmann's inequality and an analogue for two–dimensional magnetic...
International audienceThis paper is devoted to the symmetry and symmetry breaking properties of a tw...
Although the classical Hardy inequality is valid only in the three- and higher dimensional case, La...
In a previous article, the first two authors have proved that the existence of zero modes of Pauli o...
This paper is devoted to the symmetry and symmetry breaking properties of a two-dimensional magnetic...
International audienceWe study functional and spectral properties of perturbations of the magnetic L...
A quick and transparent proof for Bargmann’s inequality and an analogue for two-dimensional magnetic...
We investigate Hardy-Rellich inequalities for perturbed Laplacians. In particular, we show that a no...
The aim of this note is to survey recent results contained in Nguyen H-M, Squassina M. [On anisotrop...
This paper is devoted to a collection of results on nonlinear interpolation inequalities associated ...
We deal with Dirac operators with external homogeneous magnetic fields. Hardy-type inequalities rela...
In this article, we introduce a notion of magnetic field in the Heisenberg group and we study its in...
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of s...
AbstractThe paper concerns the magnetic Schrödinger operator H(a,V)=∑j=1n(1i∂∂xj−aj)2+V on Rn. Under...
In this paper we prove the Hardy inequalities for the quadratic form of the Laplacian with the Landa...
A quick and transparent proof for Bargmann's inequality and an analogue for two–dimensional magnetic...
International audienceThis paper is devoted to the symmetry and symmetry breaking properties of a tw...
Although the classical Hardy inequality is valid only in the three- and higher dimensional case, La...
In a previous article, the first two authors have proved that the existence of zero modes of Pauli o...
This paper is devoted to the symmetry and symmetry breaking properties of a two-dimensional magnetic...
International audienceWe study functional and spectral properties of perturbations of the magnetic L...
A quick and transparent proof for Bargmann’s inequality and an analogue for two-dimensional magnetic...
We investigate Hardy-Rellich inequalities for perturbed Laplacians. In particular, we show that a no...
The aim of this note is to survey recent results contained in Nguyen H-M, Squassina M. [On anisotrop...
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