Lieb-Thirring inequalities on the half-line with critical exponent

DOI10.4171/JEMS/128zbMath1147.35020arXivmath/0611247OpenAlexW2081181509MaRDI QIDQ936154

Rupert L. Frank, Tomas Ekholm

Publication date: 13 August 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611247

zbMATH Keywords

Hardy inequalityLieb-Thirring inequalitiesSchrödinder operator

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

Critical Hardy-Lieb-Thirring inequalities for fourth-order operators in low dimensions ⋮ Complex eigenvalue bounds for a Schrödinger operator on the half line ⋮ Lieb—Thirring type bounds for perturbed Schrödinger operators with single-well potentials ⋮ Eigenvalue estimates for Schrödinger operators on metric trees ⋮ A Lieb–Thirring type inequality for magnetic Schrödinger operators with a radial symmetry ⋮ Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers ⋮ On factorisation of a class of Schrödinger operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Lieb-Thirring inequalities for Schrödinger operators with virtual level
• Spectral theory of ordinary differential operators
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator
• On spectral theory of elliptic operators
• On the Lieb-Thirring constants \(L_{\gamma, 1}\) for \(\gamma \geq 1/2\)
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• Schrödinger operator. Estimates for number of bound states as function-theoretical problem

This page was built for publication: Lieb-Thirring inequalities on the half-line with critical exponent