Rupert L. Frank

Overview

Best Publications

• Uniqueness of Radial Solutions for the Fractional Laplacian

  Rupert L. Frank;Enno Lenzmann;Luis Silvestre

  519
  Citations

• Non-linear ground state representations and sharp Hardy inequalities

  Rupert L. Frank;Robert Seiringer

  453
  Citations

• Uniqueness of non-linear ground states for fractional Laplacians in ${\mathbb{R}}$

  Rupert L. Frank;Rupert L. Frank;Enno Lenzmann;Enno Lenzmann

  389
  Citations

• Monotonicity of a relative R'enyi entropy

  Rupert L. Frank;Elliott H. Lieb

  356
  Citations

• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators

  Rupert L. Frank;Rupert L. Frank;Elliott H. Lieb;Robert Seiringer

  332
  Citations

• Uniqueness and Nondegeneracy of Ground States for $(-\Delta)^s Q + Q - Q^{lpha+1} = 0$ in $\mathbb{R}$

  Rupert L. Frank;Enno Lenzmann

  307
  Citations

• Monotonicity of a relative Rényi entropy

  Rupert L. Frank;Elliott H. Lieb

  290
  Citations

• Sharp constants in several inequalities on the Heisenberg group

  Rupert L. Frank;Elliott H. Lieb

  209
  Citations

• Eigenvalue bounds for Schr"odinger operators with complex potentials

  Rupert L. Frank

  143
  Citations

• Eigenvalue bounds for Schrödinger operators with complex potentials

  Rupert L. Frank

  132
  Citations

• Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates

  Rupert L. Frank;Julien Sabin

  131
  Citations

• Inversion positivity and the sharp Hardy–Littlewood–Sobolev inequality

  Rupert L. Frank;Elliott H. Lieb

  131
  Citations

• A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality

  Rupert L. Frank;Elliott H. Lieb

  127
  Citations

• Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials

  Rupert L. Frank;Ari Laptev;Elliott H. Lieb;Robert Seiringer

  121
  Citations

• Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory

  Rupert L. Frank;Daniel Lenz;Daniel Wingert

  120
  Citations

• The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space

  Rafael D. Benguria;Rupert L. Frank;Michael Loss

  116
  Citations

• Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems

  Jacopo Bellazzini;Rupert L. Frank;Nicola Visciglia

  112
  Citations

• A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model

  Rupert L. Frank;Elliott H. Lieb

  111
  Citations

• Remainder terms in the fractional Sobolev inequality

  Shibing Chen;Rupert L. Frank;Tobias Weth

  101
  Citations

• Eigenvalue bounds for Schrödinger operators with complex potentials. III

  Rupert L. Frank

  98
  Citations

• The Critical Temperature for the BCS Equation at Weak Coupling

  Rupert L. Frank;Christian Hainzl;Serguei Naboko;Robert Seiringer

  92
  Citations