99 citations · 403 across the 43 of their papers we have counts for
4 papers · 1 filter
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality and flows
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
This paper is devoted to one-dimensional interpolation Gagliardo-Nirenberg-Sobolev inequalities. We study how various notions of duality, transport and monotonicity of functionals…
Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
This note is devoted to optimal spectral estimates for Schrödinger operators on compact connected Riemannian manifolds without boundary. These estimates are based on the use of app…
On some sharp spectral inequalities for Schrödinger operators on semi-axis
Pavel Exner, Ari Laptev, Muhammad Usman
In this paper we obtain sharp Lieb-Thirring inequalities for a Schrödinger operator on semi-axis with a matrix potential and show how they can be used to other related problems. Am…
Spectral estimates on the sphere
Jean Dolbeault, Maria J. Esteban, Ari Laptev
In this article we establish optimal estimates for the first eigenvalue of Schrödinger operators on the d-dimensional unit sphere. These estimates depend on Lebsgue's norms of the…