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Anzahl der Publikationen: 41
Zeitschriftenartikel
Frank, Rupert L. und Loss, Michael
(2022):
Which magnetic fields support a zero mode?
In: Journal für die Reine und Angewandte Mathematik, Bd. 2022, Nr. 788: S. 1-36
Frank, Rupert L. und Larson, Simon
(2022):
An inequality for the normal derivative of the Lane-Emden ground state.
In: Advances in Calculus of Variations
Frank, Rupert L.
(2022):
Degenerate stability of some Sobolev inequalities.
In: Annales De L'Institut Henri Poincaré (C): Non Linear Analysis, Bd. 39, Nr. 6: S. 1459-1484
Frank, Rupert L.
(2022):
Minimizers for a one-dimensional interaction energy.
In: Nonlinear Analysis - Theory Methods & Applications, Bd. 216, 112691
Frank, Rupert L.; Konig, Tobias und Tang, Hanli
(2022):
Reverse conformally invariant Sobolev inequalities on the sphere.
In: Journal of Functional Analysis, Bd. 282, Nr. 4, 109339
Borichev, Alexander; Frank, Rupert L. und Volberg, Alexander
(2022):
Counting eigenvalues of Schrodinger operators with fast decaying complex potentials.
In: Advances in Mathematics, Bd. 397, 108115
Frank, Rupert L.; Konig, Tobias und Kovarik, Hynek
(2021):
Energy asymptotics in the three-dimensional Brezis-Nirenberg problem.
In: Calculus of Variations and Partial Differential Equations, Bd. 60, Nr. 2, 58
Frank, Rupert L. und Nam, Phan Thành
(2021):
Existence and nonexistence in the liquid drop model.
In: Calculus of Variations and Partial Differential Equations, Bd. 60, 223
[PDF, 379kB]
Dolbeault, Jean; Frank, Rupert L. und Jeanjean, Louis
(2021):
Logarithmic estimates for mean-field models in dimension two and the Schrodinger-Poisson system.
In: Comptes Rendus Mathematique, Bd. 359, Nr. 10: S. 1279-1293
Frank, Rupert L.; Gontier, David und Lewin, Mathieu
(2021):
The Nonlinear Schrodinger Equation for Orthonormal Functions II: Application to Lieb-Thirring Inequalities.
In: Communications in Mathematical Physics, Bd. 384, Nr. 3: S. 1783-1828
Frank, Rupert L.; Hundertmark, Dirk; Jex, Michal und Phan, Thanh Nam
(2021):
The Lieb-Thirring inequality revisited.
In: Journal of the European Mathematical Society, Bd. 23, Nr. 8: S. 2583-2600
Frank, Rupert L. und Ivanisvili, Paata
(2021):
Hypercontractivity of the semigroup of the fractional Laplacianon the n-sphere.
In: Journal of Functional Analysis, Bd. 281, Nr. 8, 109145
Frank, Rupert L.; Kim, Seunghyeok und Pistoia, Angela
(2021):
NON-DEGENERACY FOR THE CRITICAL LANE-EMDEN SYSTEM.
In: Proceedings of the American Mathematical Society, Bd. 149, Nr. 1: S. 265-278
Frank, Rupert L. und Lieb, Elliott H.
(2021):
Proof of spherical flocking based on quantitative rearrangement inequalities.
In: Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze, Bd. 22, Nr. 3: S. 1241-1263
Frank, Rupert L.; Merz, Konstantin und Siedentop, Heinz
(2021):
Equivalence of Sobolev Norms Involving Generalized Hardy Operators.
In: International Mathematics Research Notices, Bd. 2021, Nr. 3: S. 2284-2303
Frank, Rupert L. und Phan, Thanh Nam
(2021):
Existence and nonexistence in the liquid drop model.
In: Calculus of Variations and Partial Differential Equations, Bd. 60, Nr. 6, 223
Borrelli, William und Frank, Rupert L.
(2020):
Sharp decay estimates for critical dirac equations.
In: Transactions of the American Mathematical Society, Bd. 373, Nr. 3: S. 2045-2070
Carlen, Eric A.; Frank, Rupert L. und Lieb, Elliott H.
(2020):
Inequalities that sharpen the triangle inequality for sums of N functions in L-p.
In: Arkiv for Matematik, Bd. 58, Nr. 1: S. 57-69
Frank, Rupert L.; König, Tobias und Kovarik, Hynek
(2020):
Energy asymptotics in the Brezis-Nirenberg problem: The higher-dimensional case.
In: Mathematics in Engineering, Bd. 2, Nr. 1: S. 119-140
Frank, Rupert L. und Larson, Simon
(2020):
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain.
In: Journal für die Reine und Angewandte Mathematik, Bd. 766: S. 195-228
Emmert, Lukas; Frank, Rupert L. und König, Tobias
(2020):
Liquid Drop Model for Nuclear Matter in the Dilute Limit.
In: Siam Journal on Mathematical Analysis, Bd. 52, Nr. 2: S. 1980-1999
Frank, Rupert L. und Larson, Simon
(2020):
On the error in the two-term Weyl formula for the Dirichlet Laplacian.
In: Journal of Mathematical Physics, Bd. 61, Nr. 4
Frank, Rupert L.; König, Tobias und Tang, Hanli
(2020):
Classification of solutions of an equation related to a conformal log Sobolev inequality.
In: Advances in Mathematics, Bd. 375, 107395
Frank, Rupert L. und Seiringer, Robert
(2020):
Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.
In: Communications on Pure and Applied Mathematics, Bd. 74, Nr. 3: S. 544-588
Carlen, Eric A.; Frank, Rupert L.; Ivanisvili, Paata und Lieb, Elliott H.
(2020):
Inequalities for Lp-Norms that Sharpen the Triangle Inequality and Complement Hanner's Inequality.
In: Journal of Geometric Analysis, Bd. 31: S. 4051-4073
[PDF, 730kB]
Frank, Rupert L. und Pushnitski, Alexander
(2019):
Schatten Class Conditions for Functions of Schrodinger Operators.
In: Annales Henri Poincare, Bd. 20, Nr. 11: S. 3543-3562
Carrillo, Jose A.; Delgadino, Matias G.; Dolbeault, Jean; Frank, Rupert L. und Hoffmann, Franca
(2019):
Reverse Hardy-Littlewood-Sobolev inequalities.
In: Journal De Mathematiques Pures et Appliquees, Bd. 132: S. 133-165
Frank, Rupert L.
(2019):
Non-spherical equilibrium shapes in the liquid drop model.
In: Journal of Mathematical Physics, Bd. 60, Nr. 7, 071506
Frank, Rupert L. und König, Tobias
(2019):
Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity.
In: Rendiconti Lincei-Matematica E Applicazioni, Bd. 30, Nr. 4: S. 817-846
Frank, Rupert L. und König, Tobias
(2019):
CLASSIFICATION OF POSITIVE SINGULAR SOLUTIONS TO A NONLINEAR BIHARMONIC EQUATION WITH CRITICAL EXPONENT.
In: Analysis & Pde, Bd. 12, Nr. 4: S. 1101-1113
Frank, Rupert L. und Lieb, Elliott H.
(2019):
Periodic energy minimizers for a one-dimensional liquid drop model.
In: Letters in Mathematical Physics, Bd. 109, Nr. 9: S. 2069-2081
Frank, Rupert L. und Pushnitski, Alexander
(2019):
Kato smoothness and functions of perturbed self-adjoint operators.
In: Advances in Mathematics, Bd. 351: S. 343-387
Frank, Rupert L.; Hainzl, Christian und Langmann, Edwin
(2019):
The BCS critical temperature in a weak homogeneous magnetic field.
In: Journal of Spectral Theory, Bd. 9, Nr. 3: S. 1005-1062
Frank, Rupert L.; Nam, Phan Thanh und Bosch, Hanne van den
(2018):
The Maximal Excess Charge in Muller Density-Matrix-Functional Theory.
In: Annales Henri Poincare, Bd. 19, Nr. 9: S. 2839-2867
Frank, Rupert L.; Jin, Tianling und Xiong, Jingang
(2018):
Minimizers for the fractional Sobolev inequality on domains.
In: Calculus of Variations and Partial Differential Equations, Bd. 57, Nr. 2, 43
Carlen, Eric A.; Frank, Rupert L. und Lieb, Elliott H.
(2018):
Inequalities for quantum divergences and the Audenaert-Datta conjecture.
In: Journal of Physics A-Mathematical and Theoretical, Bd. 51, Nr. 48, 483001
Frank, Rupert L. und Sabin, Julien
(2018):
Extremizers for the Airy-Strichartz inequality.
In: Mathematische Annalen, Bd. 372, Nr. 3-4: S. 1121-1166
Frank, Rupert L. und Lieb, Elliott H.
(2018):
A "Liquid-Solid" Phase Transition in a Simple Model for Swarming, Based on the "No Flat-Spots" Theorem for Subharmonic Functions.
In: Indiana University Mathematics Journal, Bd. 67, Nr. 4: S. 1547-1569
Frank, Rupert L.; Nam, Phan Thanh und Bosch, Hanne van den
(2018):
The Ionization Conjecture in Thomas-Fermi-Dirac-von Weizsacker Theory.
In: Communications on Pure and Applied Mathematics, Bd. 71, Nr. 3: S. 577-614
Frank, Rupert L. und Sabin, Julien
(2017):
Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces.
In: Advances in Mathematics, Bd. 317: S. 157-192
Frank, Rupert L. und Simon, Barry
(2017):
Eigenvalue bounds for Schrödinger operators with complex potentials. II.
In: Journal of Spectral Theory, Bd. 7, Nr. 3: S. 633-658
[PDF, 284kB]