Frank, Rupert L.; Merz, Konstantin; Siedentop, Heinz The Scott conjecture for large Coulomb systems: a review. (English) Zbl 1515.81228 Lett. Math. Phys. 113, No. 1, Paper No. 11, 79 p. (2023). MSC: 81V45 35Q40 46N50 PDFBibTeX XMLCite \textit{R. L. Frank} et al., Lett. Math. Phys. 113, No. 1, Paper No. 11, 79 p. (2023; Zbl 1515.81228) Full Text: DOI arXiv
Frank, Rupert L. The Lieb-Thirring inequalities: recent results and open problems. (English) Zbl 1518.35002 Kechris, A. (ed.) et al., Nine mathematical challenges. An elucidation. Proceedings of the Linde Hall inaugural math symposium, California Institute of Technology, Pasadena, CA, USA, February 22–24, 2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 104, 45-86 (2021). Reviewer: Simon Larson (Pasadena) MSC: 35-02 35A23 35J10 35P15 81Q10 PDFBibTeX XMLCite \textit{R. L. Frank}, Proc. Symp. Pure Math. 104, 45--86 (2021; Zbl 1518.35002) Full Text: DOI arXiv
Frank, Rupert L.; Larson, Simon Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain. (English) Zbl 1467.35107 J. Reine Angew. Math. 766, 195-228 (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 35J05 35P15 35P20 PDFBibTeX XMLCite \textit{R. L. Frank} and \textit{S. Larson}, J. Reine Angew. Math. 766, 195--228 (2020; Zbl 1467.35107) Full Text: DOI arXiv Link
Cornean, Horia D.; Fournais, Søren; Frank, Rupert L.; Helffer, Bernard Sharp trace asymptotics for a class of \(2D\)-magnetic operators. (Asymptotiques précisées pour la trace d’une classe d’opérateurs de Schrödinger magnétiques en dimension 2.) (English. French summary) Zbl 1301.35070 Ann. Inst. Fourier 63, No. 6, 2457-2513 (2013). Reviewer: Guy Katriel (Haifa) MSC: 35P20 81V10 PDFBibTeX XMLCite \textit{H. D. Cornean} et al., Ann. Inst. Fourier 63, No. 6, 2457--2513 (2013; Zbl 1301.35070) Full Text: DOI arXiv
Frank, Rupert L.; Geisinger, Leander Semi-classical analysis of the Laplace operator with Robin boundary conditions. (English) Zbl 1253.35090 Bull. Math. Sci. 2, No. 2, 281-319 (2012). MSC: 35P20 35C20 35J05 PDFBibTeX XMLCite \textit{R. L. Frank} and \textit{L. Geisinger}, Bull. Math. Sci. 2, No. 2, 281--319 (2012; Zbl 1253.35090) Full Text: DOI arXiv
Frank, Rupert L.; Siedentop, Heinz; Warzel, Simone The ground state energy of heavy atoms: Relativistic lowering of the leading energy correction. (English) Zbl 1162.81037 Commun. Math. Phys. 278, No. 2, 549-566 (2008). Reviewer: Eugene Kryachko (Liège) MSC: 81V45 81Q05 81Q20 81V55 49S05 PDFBibTeX XMLCite \textit{R. L. Frank} et al., Commun. Math. Phys. 278, No. 2, 549--566 (2008; Zbl 1162.81037) Full Text: DOI arXiv Link