Frank, Rupert

Monograph from CaltechAUTHORS

• Frank, Rupert L. and Gontier, David, el al. (2021) Optimizers for the finite-rank Lieb-Thirring inequality; 10.48550/arXiv.2109.05984
• Frank, Rupert L. (2021) Some minimization problems for mean field models with competing forces; 10.48550/arXiv.2109.02393
• Frank, Rupert L. and Larson, Simon (2021) Discrete Schrödinger operators with decaying and oscillating potentials; St. Petersburg Mathematical Journal; Vol. 35; No. 1; 233-244; 10.1090/spmj/1803
• Frank, Rupert L. (2021) Degenerate stability of some Sobolev inequalities; 10.48550/arXiv.2107.11608
• Frank, Rupert L. and Loss, Michael (2021) Existence of optimizers in a Sobolev inequality for vector fields; 10.48550/arXiv.2107.06450
• Frank, Rupert L. and Larson, Simon (2021) On the spectrum of the Kronig-Penney model in a constant electric field; 10.48550/arXiv.2104.10256
• Frank, Rupert L. and König, Tobias, el al. (2021) Blow-up of solutions of critical elliptic equation in three dimensions; 10.48550/arXiv.2102.10525
• Frank, Rupert L. and Larson, Simon (2020) Semiclassical asymptotics for a class of singular Schrödinger operators; 10.48550/arXiv.2010.05417
• Frank, Rupert L. and Gontier, David, el al. (2020) The periodic Lieb-Thirring inequality; 10.48550/arXiv.2010.02981
• Frank, Rupert L. and Merz, Konstantin, el al. (2020) Relativistic Strong Scott Conjecture: A Short Proof; 10.48550/arXiv.2009.02474
• Frank, Rupert L. (2020) The Lieb-Thirring inequalities: Recent results and open problems; 10.48550/arXiv.2007.09326
• Frank, Rupert L. and Sabin, Julien (2020) Sharp Weyl laws with singular potentials; 10.48550/arXiv.2007.04284
• Carlen, Eric A. and Frank, Rupert L., el al. (2018) Inequalities for L^p-norms that sharpen the triangle inequality and complement Hanner's Inequality; 10.48550/arXiv.1807.05599
• Frank, Rupert L. and Lieb, Elliott H. (2016) A 'liquid-solid' phase transition in a simple model for swarming, based on the 'no flat-spots' theorem for subharmonic functions; 10.48550/arXiv.1607.07971
• Frank, R. L. and Hainzi, C., el al. (2015) Microscopic Derivation of the Ginzburg-Landau Model; 10.48550/arXiv.1209.1080
• Frank, Rupert L. and Lenzmann, Enno (2015) Uniqueness and Nondegeneracy of Ground States for (−Δ)^sQ+Q−Q^(α+1)=0 in R; 10.48550/arXiv.1009.4042
• Frank, Rupert L. and Lieb, Elliott H., el al. (2012) Ground state properties of multi-polaron systems; 10.48550/arXiv.1209.3717
• Chen, Shibing and Frank, Rupert L., el al. (2012) Remainder terms in the fractional Sobolev inequality; 10.48550/arXiv.1205.5666
• Dyda, Bartlomiej and Frank, Rupert L. (2011) Fractional Hardy-Sobolev-Maz'ya inequality for domains; 10.48550/arXiv.1109.6570
• Cornean, Horia D. and Fournais, Søren, el al. (2011) Sharp trace asymptotics for a class of 2D-magnetic operators; 10.48550/arXiv.1108.0777
• Frank, Rupert L. and Lieb, Elliott H., el al. (2011) Binding of Polarons and Atoms at Threshold; 10.48550/arXiv.1106.0729
• Frank, Rupert L. and Lieb, Elliott H. (2011) Possible Lattice Distortions in the Hubbard Model for Graphene; 10.48550/arXiv.1105.0693
• Frank, Rupert L. and Lenzmann, Enno (2010) On ground states for the L^2-critical boson star equation; 10.48550/arXiv.0910.2721
• Frank, Rupert L. and Lieb, Elliott H., el al. (2009) Müeller's Exchange-Correlation Energy in Density-Matrix-Functional Theory; 10.48550/arXiv.0705.1587
• Frank, Rupert L. and Lenzmann, Enno (2009) Uniqueness of ground states for the L^2-critical boson star equation; 10.48550/arXiv.0905.3105
• Frank, Rupert L. (2009) Remarks on eigenvalue estimates and semigroup domination; 10.48550/arXiv.0903.0561
• Frank, Rupert L. and Siedentop, Heinz, el al. (2008) The Energy of Heavy Atoms According to Brown and Ravenhall: The Scott Correction; 10.48550/arXiv.0805.4441
• Frank, Rupert L. and Laptev, Ari (2007) Spectral inequalities for Schrödinger operators with surface potentials; 10.48550/arXiv.0711.3473
• Ekholm, Tomas and Frank, Rupert L., el al. (2007) Remarks about Hardy inequalities on metric trees
• Frank, Rupert L. and Loss, Michael, el al. (2007) Pόlya's conjecture in the presence of a constant magnetic field; 10.48550/arXiv.0710.1078
• Frank, Rupert L. and Hansson, Anders (2007) Eigenvalue estimates for the Aharonov-Bohm operator in a domain; 10.48550/arXiv.0710.1089
• Benguria, Rafael D. and Frank, Rupert L., el al. (2007) The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space; 10.48550/arXiv.0705.3833