Rafael Benguria

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M. Cristina DepassierProfessor of Physics, Pontificia Universidad Catolica de ChileVerified email at uc.cl
Elliott LiebProf. of mathematics and physics, Princeton UniversityVerified email at math.princeton.edu
Michael LossProfessor of MathematicsVerified email at math.gatech.edu
Hanne Van Den BoschUniversidad de Chile & CMM, Universidad de Chile - UMI CNRS 2807Verified email at uchile.cl
Jean DOLBEAULTCeremade, Université Paris-DauphineVerified email at ceremade.dauphine.fr
Patricio CorderoUniversidad de ChileVerified email at ing.uchile.cl
Rupert FrankProfessor of Mathematics, CaltechVerified email at caltech.edu
Decio LeviRoma Tre University, Dept. Math Phys.Verified email at roma3.infn.it
Heinz SiedentopProfessor em. of Applied Mathematics, Ludwig-Maximilians-Universität MünchenVerified email at lmu.de
Dong LaiCornell UniversityVerified email at astro.cornell.edu
Vicenç MendezProfessor of Physics. Universitat Autonoma de BarcelonaVerified email at uab.cat
M. LoeweProfessor of Physics, Pontificia Universidad Católica de ChileVerified email at fis.puc.cl
Hernan A. CastilloProfessor of Physics, Pontificia Universidad Católica del PerúVerified email at pucp.edu.pe
Maria J. ESTEBANDirectrice de recherche émérite, CNRS & Université Paris-DauphineVerified email at ceremade.dauphine.fr
Andres GomberoffUniversidad Adolfo IbañezVerified email at uai.cl
Sebastián LorcaUniversidad de TarapacáVerified email at uta.cl
Jaime CisternasUniversidad de los Andes-ChileVerified email at miuandes.cl
Hugo AlarconUniversidad Tecnica Federico Santa MariaVerified email at usm.cl
Michael LevitinProfessor, University of ReadingVerified email at reading.ac.uk
Stefan HoopsResearch Associate Professor, Biocomplexity Institute & Initiative, University of VirginiaVerified email at virginia.edu

Rafael Benguria

Professor of Physics, Pontificia Universidad Catolica de Chile

Verified email at uc.cl - Homepage

Mathematical Physics


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The Thomas-Fermi-von Weizsäcker theory of atoms and molecules R Benguria, H Brézis, EH Lieb Communications in Mathematical Physics 79 (2), 167-180, 1981	385	1981
Quantum langevin equation R Benguria, M Kac Physical review letters 46 (1), 1, 1981	312	1981
Aspects of the Hamiltonian dynamics of interacting gravitational gauge and Higgs fields with applications to spherical symmetry R Benguria, P Cordero, C Teitelboim Nuclear Physics B 122 (1), 61-99, 1977	246	1977
A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions MS Ashbaugh, RD Benguria Annals of Mathematics 135 (3), 601-628, 1992	229	1992
Proof of the payne-pólya-weinberger conjecture MS Ashbaugh, RD Benguria	160	1991
Speed of fronts of the reaction-diffusion equation RD Benguria, MC Depassier Physical review letters 77 (6), 1171, 1996	144	1996
Bäcklund transformations and nonlinear differential difference equations D Levi, R Benguria Proceedings of the National Academy of Sciences 77 (9), 5025-5027, 1980	134	1980
Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials MS Ashbaugh, R Benguria Proceedings of the American Mathematical Society 105 (2), 419-424, 1989	132	1989
On Rayleigh’s conjecture for the clamped plate and its generalization to three dimensions MS Ashbaugh, RD Benguria	129	1995
Proof of the stability of highly negative ions in the absence of the Pauli principle R Benguria, EH Lieb Physical Review Letters 50 (22), 1771, 1983	124	1983
Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation RD Benguria, MC Depassier Communications in mathematical physics 175, 221-227, 1996	101	1996
More Bounds on Eigenvalue Ratios for Dirichlet Laplacians in N Dimensions MS Ashbaugh, RD Benguria SIAM journal on mathematical analysis 24 (6), 1622-1651, 1993	91	1993
Universal Bounds for the Low Eigenvalues of Neumann Laplacians in N Dimensions MS Ashbaugh, RD Benguria SIAM Journal on Mathematical Analysis 24 (3), 557-570, 1993	90	1993
The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space RD Benguria, RL Frank, M Loss arXiv preprint arXiv:0705.3833, 2007	86	2007
On the linear stability theory of Bénard-Marangoni convection RD Benguria, M DEPASSIER Physics of Fluids A 1 (7), 1123-1127, 1989	77	1989
Self-adjointness of two-dimensional Dirac operators on domains RD Benguria, S Fournais, E Stockmeyer, H Van Den Bosch Annales Henri Poincaré 18, 1371-1383, 2017	76	2017
Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials MS Ashbaugh, RD Benguria Communications in mathematical physics 124 (3), 403-415, 1989	73	1989
Isoperimetric inequalities for eigenvalues of the Laplacian MS Ashbaugh, RD Benguria Proceedings of Symposia in Pure Mathematics 76 (1), 105, 2007	72	2007
A second proof of the Payne-Pólya-Weinberger conjecture MS Ashbaugh, RD Benguria Communications in mathematical physics 147, 181-190, 1992	72	1992
A simple proof of a theorem of Laptev and Weidl R Benguria, M Loss arXiv preprint math-ph/9906024, 1999	70	1999

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