International audienceWe study functional and spectral properties of perturbations of the magnetic Laplace operator on the circle. This operator appears when considering the restriction to the unit circle of a two-dimensional Schrödinger operator with the Bohm-Aharonov vector potential. We prove a Hardy-type inequality on the two-dimensional Euclidean space and, on the circle, a sharp interpolation inequality and a sharp Keller-Lieb-Thirring inequality
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of s...
A quick and transparent proof for Bargmann's inequality and an analogue for two–dimensional magnetic...
44 pagesIn this paper we introduce a notion of magnetic field in the Heisenberg group and we study i...
This paper is devoted to a collection of results on nonlinear interpolation inequalities associated ...
International audienceThis paper is devoted to the symmetry and symmetry breaking properties of a tw...
This paper is devoted to the symmetry and symmetry breaking properties of a two-dimensional magnetic...
We explicitly compute the spectrum and eigenfunctions of the magnetic Schrödinger operator H(A→,V)=(...
Although the classical Hardy inequality is valid only in the three- and higher dimensional case, La...
In this paper we prove refined first-order interpolation inequalities for periodic functions and giv...
Let $H := H_{0} + V$ and $H_{\perp} := H_{0,\perp} + V$ be respectively perturbations of the free Sc...
Let $H := H_{0} + V$ and $H_{\perp} := H_{0,\perp} + V$ be respectively perturbations of the free Sc...
The diamagnetic inequality is established for the Schr\uf6dinger operator H 0 (d) in L 2 (ℝ d ), d ...
The diamagnetic inequality is established for the Schrödinger operator H (d) 0 in L 2 (Rd), d=2,3, d...
This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type ope...
This thesis is devoted to the study of Hardy and spectral inequalities for the Heisenberg and the Gr...
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of s...
A quick and transparent proof for Bargmann's inequality and an analogue for two–dimensional magnetic...
44 pagesIn this paper we introduce a notion of magnetic field in the Heisenberg group and we study i...
This paper is devoted to a collection of results on nonlinear interpolation inequalities associated ...
International audienceThis paper is devoted to the symmetry and symmetry breaking properties of a tw...
This paper is devoted to the symmetry and symmetry breaking properties of a two-dimensional magnetic...
We explicitly compute the spectrum and eigenfunctions of the magnetic Schrödinger operator H(A→,V)=(...
Although the classical Hardy inequality is valid only in the three- and higher dimensional case, La...
In this paper we prove refined first-order interpolation inequalities for periodic functions and giv...
Let $H := H_{0} + V$ and $H_{\perp} := H_{0,\perp} + V$ be respectively perturbations of the free Sc...
Let $H := H_{0} + V$ and $H_{\perp} := H_{0,\perp} + V$ be respectively perturbations of the free Sc...
The diamagnetic inequality is established for the Schr\uf6dinger operator H 0 (d) in L 2 (ℝ d ), d ...
The diamagnetic inequality is established for the Schrödinger operator H (d) 0 in L 2 (Rd), d=2,3, d...
This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type ope...
This thesis is devoted to the study of Hardy and spectral inequalities for the Heisenberg and the Gr...
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of s...
A quick and transparent proof for Bargmann's inequality and an analogue for two–dimensional magnetic...
44 pagesIn this paper we introduce a notion of magnetic field in the Heisenberg group and we study i...