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Rupert L. Frank

  1. Uniqueness of Radial Solutions for the Fractional Laplacian
    2013/01/01 by Rupert L. Frank, Enno Lenzmann, Frank, Rupert L. +3 · 8 citations
    Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems #Advanced Mathematical Modeling in Engineering
  2. Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems
    2014/05/08 by Jacopo Bellazzini, Rupert L. Frank, Nicola Visciglia · 7 citations
    Mathematics · Engineering · #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations
  3. Which magnetic fields support a zero mode?
    2020/12/25 by Rupert L. Frank, Frank, Rupert L., Michael Loss +1 · 6 citations
    Mathematics · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Advanced Mathematical Physics Problems
  4. An extension problem for the CR fractional Laplacian
    2013/12/12 by Rupert L. Frank, María de Mar González, Frank, Rupert L. +5 · 4 citations
    Mathematics · #Spectral Theory in Mathematical Physics #Mathematical Analysis and Transform Methods #Advanced Mathematical Physics Problems
  5. The Stein-Tomas inequality in trace ideals
    2016/09/27 by Rupert L. Frank, Julien Sabin, Frank, Rupert L. +1 · 3 citations
    Mathematics · #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods
  6. The sharp Sobolev inequality and its stability: An introduction
    2023/04/06 by Rupert L. Frank, Frank, Rupert L. · 6 citations
    Engineering · #Fatigue and fracture mechanics
  7. The generalized Wehrl entropy bound in quantitative form
    2023/07/26 by Rupert L. Frank, Fabio Nicola, Frank, Rupert L. +3 · 6 citations
    Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems
  8. The Lieb-Thirring inequalities: Recent results and open problems
    2020/07/18 by Rupert L. Frank, Frank, Rupert L. · 3 citations
    Mathematics · #Finite Group Theory Research #Advanced Algebra and Geometry #Graph theory and applications
  9. An improved one-dimensional Hardy inequality
    2022/04/02 by Rupert L. Frank, Ари Лаптев, Frank, Rupert L. +3 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
  10. Intrinsic metrics for non-local symmetric Dirichlet forms and\n applications to spectral theory
    2010/12/22 by Rupert L. Frank, Daniel Lenz, Frank, Rupert L. +3 · 1 citation
    Mathematics · #34L05 #47B25 #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Spectral Theory in Mathematical Physics
  11. Inequalities for Lp-norms that sharpen the triangle inequality and\n complement Hanner's Inequality
    2018/07/15 by Eric A. Carlen, Carlen, Eric A., Rupert L. Frank +5 · 1 citation
    Mathematics · #39B62 #46E30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems
  12. Hypercontractivity of the semigroup of the fractional laplacian on the\n n-sphere
    2021/01/15 by Rupert L. Frank, Paata Ivanisvili, Frank, Rupert L. +1 · 1 citation
    Mathematics · #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory #Advanced Banach Space Theory
  13. Endpoint Schatten class properties of commutators
    2024/05/17 by Rupert L. Frank, Frank, Rupert L., Fedor Sukochev +3 · 2 citations
    Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
  14. Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
    2023/12/27 by Giao Ky Duong, Duong, Giao Ky, Rupert L. Frank +7 · 2 citations
    Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations
  15. Hardy inequalities for large fermionic systems
    2024/03/19 by Rupert L. Frank, Thomas Hoffmann-Ostenhof, Frank, Rupert L. +5 · 1 citation
    Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Matrix Theory and Algorithms
  16. Open problem: Violation of locality for Schrödinger operators with complex potentials
    2024/09/17 by Jean‐Claude Cuenin, Cuenin, Jean-Claude, Rupert L. Frank +1 · 1 citation
    Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
  17. Asymptotics of singular values for quantum derivatives
    2022/09/26 by Rupert L. Frank, Frank, Rupert L., Fedor Sukochev +3 · 1 citation
    Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Advanced Mathematical Modeling in Engineering #Mathematical Approximation and Integration
  18. The Winding Number at the Critical Hölder Exponent 1/3: Failure of Universal Fourier Summation
    2026/07/28 by Rupert L. Frank, Paata Ivanisvili
    #math.CA #math.FA