Frank, Rupert L.

Book Chapter from CaltechAUTHORS

• Frank, Rupert L. and Hainzl, Christian (2018) The BCS Critical Temperature in a Weak External Electric Field via a Linear Two-Body Operator; ISBN 978-3-030-01601-2; Macroscopic Limits of Quantum Systems; 29-62; 10.1007/978-3-030-01602-9_2
• Frank, Rupert L. and Nam, Phan Thành, et el. (2018) A short proof of the ionization conjecture in Müller theory; ISBN 978-1-4704-3681-0; Mathematical Problems in Quantum Physics; 1-12; 10.1090/conm/717/14437
• Frank, Rupert L. (2017) Eigenvalues of Schrödinger operators with complex surface potentials; ISBN 978-3-03719-175-0; Functional Analysis and Operator Theory for Quantum Physics: The Pavel Exner Anniversary Volume; 245-259; 10.4171/175
• Frank, Rupert L. (2017) Eigenvalue bounds for the fractional Laplacian: A review; ISBN 9783110571561; Recent Developments in Nonlocal Theory; 210-235; 10.1515/9783110571561-007
• Frank, Rupert L. and Hainzl, Christian, et el. (2013) Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction; ISBN 978-3-0348-0531-5; Operator Methods in Mathematical Physics; 57-88; 10.1007/978-3-0348-0531-5_3
• Frank, Rupert L. and Lieb, Elliott H. (2012) A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality; ISBN 978-3-0348-0263-5; Spectral Theory, Function Spaces and Inequalities; 55-67; 10.1007/978-3-0348-0263-5_4
• Frank, Rupert L. and Laptev, Ari, et el. (2011) A sharp bound on eigenvalues of Schröedinger operators on the half-line with complex-valued potentials; ISBN 9783764399948; Spectral Theory and Analysis; 39-44; 10.1007/978-3-7643-9994-8_3
• Frank, Rupert L. and Lieb, Elliott H. (2011) Spherical reflection positivity and the Hardy-Littlewood-Sobolev inequality; ISBN 978-0-8218-4971-2; Concentration, Functional Inequalities and Isoperimetry; 89-102; 10.48550/arXiv.1003.5248
• Frank, Rupert L. and Geisinger, Leander (2011) Two-term spectral asymptotics for the Dirichlet Laplacian on a bounded domain; ISBN 9789814350365; Mathematical Results in Quantum Physics; 138-147; 10.1142/9789814350365_0012
• Frank, Rupert L. and Lieb, Elliott H., et el. (2011) Binding, Stability, and Non-binding of Multi-polaron Systems; ISBN 9789814350365; Mathematical Results in Quantum Physics; 21-32; 10.1142/9789814350365_0002
• Frank, Rupert L. and Lieb, Elliott H., et el. (2010) Equivalence of Sobolev inequalities and Lieb-Thirring inequalities; ISBN 978-981-4304-62-7; XVIth International Congress on Mathematical Physics; 523-535; 10.1142/9789814304634_0045
• Frank, Rupert L. and Seiringer, Robert (2010) Sharp Fractional Hardy Inequalities in Half-Spaces; ISBN 978-1-4419-1340-1; Around the Research of Vladimir Maz'ya I; 161-167; 10.1007/978-1-4419-1341-8_6