Rupert Frank

Rupert Frank

California Institute of Technology

H-index: 39

North America-United States

About Rupert Frank

Rupert Frank, With an exceptional h-index of 39 and a recent h-index of 29 (since 2020), a distinguished researcher at California Institute of Technology, specializes in the field of Mathematical Physics, Analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

On Courant and Pleijel theorems for sub-Riemannian Laplacians

A short review on Improvements and stability for some interpolation inequalities

Lieb-Thirring inequality for the 2D Pauli operator

Weighted CLR type bounds in two dimensions

An inequality for the normal derivative of the Lane–Emden ground state

Hardy inequalities for large fermionic systems

Degenerate stability of the Caffarelli–Kohn–Nirenberg inequality along the Felli–Schneider curve

A div-curl inequality for orthonormal functions

Rupert Frank Information

University

Position

Professor of Mathematics

Citations(all)

6439

Citations(since 2020)

3874

Cited By

4339

hIndex(all)

39

hIndex(since 2020)

29

i10Index(all)

119

i10Index(since 2020)

90

Email

University Profile Page

California Institute of Technology

Google Scholar

View Google Scholar Profile

Rupert Frank Skills & Research Interests

Mathematical Physics

Analysis

Top articles of Rupert Frank

Title

Journal

Author(s)

Publication Date

On Courant and Pleijel theorems for sub-Riemannian Laplacians

arXiv preprint arXiv:2402.13953

Rupert L Frank

Bernard Helffer

2024/2/21

A short review on Improvements and stability for some interpolation inequalities

Jean Dolbeault

Maria J Esteban

Alessio Figalli

Rupert Frank

Michael Loss

2024/2/13

Lieb-Thirring inequality for the 2D Pauli operator

arXiv preprint arXiv:2404.09926

Rupert L Frank

Hynek Kovařík

2024/4/15

Weighted CLR type bounds in two dimensions

Transactions of the American Mathematical Society

Rupert Frank

Ari Laptev

Larry Read

2024

An inequality for the normal derivative of the Lane–Emden ground state

Advances in Calculus of Variations

Rupert L Frank

Simon Larson

2022/10/11

Hardy inequalities for large fermionic systems

arXiv preprint arXiv:2403.12640

Rupert L Frank

Thomas Hoffmann-Ostenhof

Ari Laptev

Jan Philip Solovej

2024/3/19

Degenerate stability of the Caffarelli–Kohn–Nirenberg inequality along the Felli–Schneider curve

Calculus of Variations and Partial Differential Equations

Rupert L Frank

Jonas W Peteranderl

2024/3

A div-curl inequality for orthonormal functions

arXiv preprint arXiv:2309.08014

Rupert L Frank

2023/9/14

Relativistic strong Scott conjecture: A short proof

Rupert L Frank

Konstantin Merz

Heinz Siedentop

2023

Weyl’s law under minimal assumptions

Rupert L Frank

2023/4/21

Counting Negative Eigenvalues for the Magnetic Pauli Operator

arXiv preprint arXiv:2307.16079

Søren Fournais

Rupert L Frank

Magnus Goffeng

Ayman Kachmar

Mikael Sundqvist

2023/7/29

The sharp Sobolev inequality and its stability: An introduction

arXiv preprint arXiv:2304.03115

Rupert L Frank

2023/4/6

The generalized Wehrl entropy bound in quantitative form

arXiv preprint arXiv:2307.14089

Rupert L Frank

Fabio Nicola

Paolo Tilli

2023/7/26

Asymptotics of singular values for quantum derivatives

Transactions of the American Mathematical Society

Rupert Frank

Fedor Sukochev

Dmitriy Zanin

2023/3

Minimizers for an aggregation model with attactive-repulsive interaction

arXiv preprint arXiv:2307.13769

Rupert L Frank

Ryan W Matzke

2023/7/25

Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schr\" odinger operator

arXiv preprint arXiv:2312.16482

Giao Ky Duong

Rupert L Frank

Thi Minh Thao Le

Phan Thành Nam

Phuoc-Tai Nguyen

2023/12/27

The Scott conjecture for large Coulomb systems: a review

Rupert L Frank

Konstantin Merz

Heinz Siedentop

2023/2

Sharp inequalities for coherent states and their optimizers

Advanced Nonlinear Studies

Rupert L Frank

2023/4/29

On Sobolev norms involving Hardy operators in a half-space

Journal of Functional Analysis

Rupert L Frank

Konstantin Merz

2023/11/15

A statistical theory of heavy atoms: energy and excess charge

Hongshuo Chen

Rupert L Frank

Heinz Siedentop

2023

See List of Professors in Rupert Frank University(California Institute of Technology)

Co-Authors

H-index: 120
Barry Simon

Barry Simon

California Institute of Technology

H-index: 119
Elliott Lieb

Elliott Lieb

Princeton University

H-index: 47
Jean DOLBEAULT

Jean DOLBEAULT

Université Paris-Dauphine

H-index: 44
Benjamin Schlein

Benjamin Schlein

Universität Zürich

H-index: 43
Eric Carlen

Eric Carlen

Rutgers, The State University of New Jersey

H-index: 38
Luis Silvestre

Luis Silvestre

University of Chicago

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