391 citations · 1.8k across the 147 of their papers we have counts for
170 papers
Liquid Drop Model for Nuclear Matter in the Low Density Limit
Rupert L. Frank, Mathieu Lewin, Robert Seiringer
We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the…
Degenerate Stability of the Caffarelli-Kohn-Nirenberg Inequality along the Felli-Schneider Curve
Rupert L. Frank, Jonas W. Peteranderl
We show that the Caffarelli-Kohn-Nirenberg (CKN) inequality holds with a remainder term that is quartic in the distance to the set of optimizers for the full parameter range of the…
Counting Negative Eigenvalues for the Magnetic Pauli Operator
Søren Fournais, Rupert L. Frank, Magnus Goffeng +2
We study the Pauli operator in a two-dimensional, connected domain with Neumann or Robin boundary condition. We prove a sharp lower bound on the number of negative eigenvalues remi…
The generalized Wehrl entropy bound in quantitative form
Rupert L. Frank, Fabio Nicola, Paolo Tilli
Lieb and Carlen have shown that mixed states with minimal Wehrl entropy are coherent states. We prove that mixed states with almost minimal Wehrl entropy are almost coherent states…
Minimizers for an aggregation model with attractive-repulsive interaction
Rupert L. Frank, Ryan W. Matzke
We solve explicitly a certain minimization problem for probability measures involving an interaction energy that is repulsive at short distances and attractive at large distances.…
The sharp Sobolev inequality and its stability: An introduction
Rupert L. Frank
These notes are an extended version of a series of lectures given at the CIME Summer School in Cetraro in June 2022. The goal is to explain questions about optimal functional inequ…