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Anzahl der Publikationen auf dieser Ebene: 67

Zeitschriftenartikel

Borichev, Alexander; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Volberg, Alexander (2022): Counting eigenvalues of Schrodinger operators with fast decaying complex potentials. In: Advances in Mathematics, Bd. 397, 108115

Borrelli, William und Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 (2020): Sharp decay estimates for critical dirac equations. In: Transactions of the American Mathematical Society, Bd. 373, Nr. 3: S. 2045-2070

Brennecke, Christian; Phan Thanh, Nam ORCID logoORCID: https://orcid.org/0000-0001-7599-9742; Napiorkowski, Marcin und Schlein, Benjamin (2019): Fluctuations of N-particle quantum dynamics around the nonlinear Schrodinger equation. In: Annales De L Institut Henri Poincare-Analyse Non Lineaire, Bd. 36, Nr. 5: S. 1201-1235

Carlen, Eric A.; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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]

Carlen, Eric A.; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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

Carlen, Eric A.; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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

Carrillo, J. A.; Delgadino, M. G.; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Lewin, M. (2022): Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solutions. In: Mathematical Models & Methods in Applied Sciences, Bd. 32, Nr. 4: S. 831-850

Carrillo, Jose A.; Delgadino, Matias G.; Dolbeault, Jean; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Hoffmann, Franca (2019): Reverse Hardy-Littlewood-Sobolev inequalities. In: Journal De Mathematiques Pures et Appliquees, Bd. 132: S. 133-165

Christiansen, Martin Ravn; Hainzl, Christian ORCID logoORCID: https://orcid.org/0000-0002-9772-7323 und Nam, Phan Thanh (2022): On the effective quasi-bosonic Hamiltonian of the electron gas: collective excitations and plasmon modes. In: Letters in Mathematical Physics, Bd. 112, Nr. 6 [PDF, 559kB]

Christiansen, Martin Ravn; Hainzl, Christian ORCID logoORCID: https://orcid.org/0000-0002-9772-7323 und Nam, Phan Thành (2023): The Gell-Mann–Brueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime. In: Communications in Mathematical Physics, Bd. 401, Nr. 2: S. 1469-1529 [PDF, 782kB]

Christiansen, Martin Ravn; Hainzl, Christian ORCID logoORCID: https://orcid.org/0000-0002-9772-7323 und Nam, Phan Thành (2023): The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime. In: Forum of Mathematics, Pi, Bd. 11, e32 [PDF, 1MB]

Dietlein, Adrian; Gebert, Martin; Hislop, Peter D.; Klein, Abel und Müller, Peter ORCID logoORCID: https://orcid.org/0000-0002-3063-9636 (2018): A Bound on the Averaged Spectral Shift Function and a Lower Bound on the Density of States for Random Schrodinger Operators on R-d. In: International Mathematics Research Notices, Nr. 21: S. 6673-6697

Dietlein, Adrian; Gebert, Martin und Müller, Peter ORCID logoORCID: https://orcid.org/0000-0002-3063-9636 (2019): Perturbations of continuum random Schrodinger operators with applications to Anderson orthogonality and the spectral shift function. In: Journal of Spectral Theory, Bd. 9, Nr. 3: S. 921-965

Dolbeault, Jean; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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

Duell, Maximilian; Hainzl, Christian ORCID logoORCID: https://orcid.org/0000-0002-9772-7323 und Hamza, Eman (2022): Enhanced pairing mechanism in cuprate-type crystals. In: Physical Review B, Bd. 106, Nr. 5, 54509

Emmert, Lukas; Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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

Falconi, Marco; Giacomelli, Emanuela L.; Hainzl, Christian ORCID logoORCID: https://orcid.org/0000-0002-9772-7323 und Porta, Marcello (2021): The Dilute Fermi Gas via Bogoliubov Theory. In: Annales Henri Poincare, Bd. 22, Nr. 7: S. 2283-2353

Fournais, Søren; Lampart, Jonas; Lewin, Mathieu und Sørensen, Thomas Østergaard (2016): Coulomb potentials and Taylor expansions in time-dependent density-functional theory. In: Physical Review A, Bd. 93, Nr. 6, 62510

Fournais, Søren und Sørensen, Thomas Østergaard (2021): Estimates on derivatives of Coulombic wave functions and their electron densities. In: Journal für die Reine und Angewandte Mathematik, Bd. 775: S. 1-38

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 (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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 (2022): Minimizers for a one-dimensional interaction energy. In: Nonlinear Analysis - Theory Methods & Applications, Bd. 216, 112691

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 (2019): Non-spherical equilibrium shapes in the liquid drop model. In: Journal of Mathematical Physics, Bd. 60, Nr. 7, 071506

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; Konig, Tobias und Tang, Hanli (2022): Reverse conformally invariant Sobolev inequalities on the sphere. In: Journal of Functional Analysis, Bd. 282, Nr. 4, 109339

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Laptev, A. (2019): BOUND ON THE NUMBER OF NEGATIVE EIGENVALUES OF TWO-DIMENSIONAL SCHRODINGER OPERATORS ON DOMAINS. In: St Petersburg Mathematical Journal, Bd. 30, Nr. 3: S. 573-589

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Larson, S. (2021): Two Consequences of Davies' Hardy Inequality. In: Functional Analysis and Its Applications, Bd. 55, Nr. 2: S. 174-177

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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]

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Pushnitski, Alexander (2019): Schatten Class Conditions for Functions of Schrodinger Operators. In: Annales Henri Poincare, Bd. 20, Nr. 11: S. 3543-3562

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Sabin, Julien (2018): Extremizers for the Airy-Strichartz inequality. In: Mathematische Annalen, Bd. 372, Nr. 3-4: S. 1121-1166

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 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]

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688; Sukochev, Fedor und Zanin, Dmitriy (2024): Endpoint Schatten class properties of commutators. In: Advances in Mathematics, Bd. 450, 109738 [PDF, 775kB]

Gebert, Martin; Küttler, Heinrich; Müller, Peter ORCID logoORCID: https://orcid.org/0000-0002-3063-9636 und Otte, Peter (2016): The exponent in the orthogonality catastrophe for Fermi gases. In: Journal of Spectral Theory, Bd. 6, Nr. 3: S. 643-683 [PDF, 430kB]

Hainzl, Christian ORCID logoORCID: https://orcid.org/0000-0002-9772-7323; Roos, Barbara und Seiringer, Robert (2022): Boundary superconductivity in the BCS Model. In: Journal of Spectral Theory, Bd. 12, Nr. 4: S. 1507-1540

Hainzl, Christian ORCID logoORCID: https://orcid.org/0000-0002-9772-7323; Schlein, Benjamin ORCID logoORCID: https://orcid.org/0000-0003-0910-9136 und Triay, Arnaud ORCID logoORCID: https://orcid.org/0000-0001-5386-461X (2022): Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach. In: Forum of Mathematics, Sigma, Bd. 10, Nr. e90: S. 1-39 [PDF, 665kB]

Lewin, Mathieu; Phan Thanh, Nam ORCID logoORCID: https://orcid.org/0000-0001-7599-9742 und Rougerie, Nicolas (2019): Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases. In: Journal of Mathematical Physics, Bd. 60, Nr. 6, 061901

Michelangeli, Alessandro; Phan Thanh, Nam ORCID logoORCID: https://orcid.org/0000-0001-7599-9742 und Olgiati, Alessandro (2019): Ground state energy of mixture of Bose gases. In: Reviews in Mathematical Physics, Bd. 31, Nr. 2, 1950005

Müller, Peter ORCID logoORCID: https://orcid.org/0000-0002-3063-9636; Pastur, Leonid und Schulte, Ruth (2020): How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy? In: Communications in Mathematical Physics, Bd. 376, Nr. 1: S. 649-679

Müller, Peter ORCID logoORCID: https://orcid.org/0000-0002-3063-9636 und Rojas-Molina, Constanza (2022): Localisation for Delone operators via Bernoulli randomisation. In: Journal D'Analyse Mathématique, Bd. 147, Nr. 1: S. 297-331

Müller, Peter ORCID logoORCID: https://orcid.org/0000-0002-3063-9636 und Schulte, Ruth (2023): Stability of a Szegő-type asymptotics. In: Journal of Mathematical Physics, Bd. 64, Nr. 2, 022101 [PDF, 4MB]

Müller, Peter ORCID logoORCID: https://orcid.org/0000-0002-3063-9636 und Schulte, Ruth (2020): Stability of the Enhanced Area Law of the Entanglement Entropy. In: Annales Henri Poincaré, Bd. 21, Nr. 11: S. 3639-3658 [PDF, 460kB]

Nam, Phan Thanh; Ricaud, Julien und Triay, Arnaud ORCID logoORCID: https://orcid.org/0000-0001-5386-461X (2022): Dilute Bose gas with three-body interaction: Recent results and open questions. In: Journal of Mathematical Physics, Bd. 63, Nr. 6, 61103

Nam, Phan Thanh; Ricaud, Julien und Triay, Arnaud ORCID logoORCID: https://orcid.org/0000-0001-5386-461X (2022): Ground state energy of the low density Bose gas with three-body interactions. In: Journal of Mathematical Physics, Bd. 63, Nr. 7, 71903

Phan Thanh, Nam ORCID logoORCID: https://orcid.org/0000-0001-7599-9742 und Napiorkowski, Marcin (2021): Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas. In: Calculus of Variations and Partial Differential Equations, Bd. 60, Nr. 3, 99

Phan Thanh, Nam ORCID logoORCID: https://orcid.org/0000-0001-7599-9742 und Rougerie, Nicolas (2020): Improved stability for 2D attractive Bose gases. In: Journal of Mathematical Physics, Bd. 61, Nr. 2, 021901

Phan Thanh, Nam ORCID logoORCID: https://orcid.org/0000-0001-7599-9742 und Salzmann, Robert (2020): Derivation of 3D Energy-Critical Nonlinear Schrodinger Equation and Bogoliubov Excitations for Bose Gases. In: Communications in Mathematical Physics, Bd. 375, Nr. 1: S. 495-571

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