Rupert L. Frank

activity

20062009

most citedMueller's Exchange-Correlation Energy in Density-Matrix-Functional Theory

66 citations · 72 across the 6 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.FA2009

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…

math.AP2009★ 3 cited

Uniqueness of ground states for the L^2-critical boson star equation

Rupert L. Frank, Enno Lenzmann

We establish uniqueness of ground states $u (x) \geq 0$ for the $L^{2}$ -critical boson star equation $- Δ u - (∣ x ∣^{- 1} * ∣ u ∣^{2}) u = - u$ in $R^{3}$ . The proof blends variation…

math.SP2009

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…