66 citations · 72 across the 6 of their papers we have counts for
6 papers
Sharp fractional Hardy inequalities in half-spaces
Rupert L. Frank, Robert Seiringer
We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces on half-spaces. Our proof relies on a non-linear and non-local version of the ground state rep…
Uniqueness of ground states for the L^2-critical boson star equation
Rupert L. Frank, Enno Lenzmann
We establish uniqueness of ground states for the -critical boson star equation in . The proof blends variation…
Remarks on eigenvalue estimates and semigroup domination
Rupert L. Frank
We present an overview over recent results concerning semi-classical spectral estimates for magnetic Schroedinger operators. We discuss how the constants in magnetic and non-magnet…
Mueller's Exchange-Correlation Energy in Density-Matrix-Functional Theory
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer +1
The increasing interest in the Mueller density-matrix-functional theory has led us to a systematic mathematical investigation of its properties. This functional is similar to the H…
Lieb-Thirring inequalities on the half-line with critical exponent
Tomas Ekholm, Rupert L. Frank
We consider a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin and show that moments of its negative eigenvalues can be estimated by the part…
Hardy-Lieb-Thirring inequalities for fractional Schroedinger operators
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer
We show that the Lieb-Thirring inequalities on moments of negative eigenvalues of Schroedinger-like operators remain true, with possibly different constants, when the critical Hard…