Rafael D. Benguria

3.7k total citations
108 papers, 2.0k citations indexed

About

Rafael D. Benguria is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Rafael D. Benguria has authored 108 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Mathematical Physics, 34 papers in Applied Mathematics and 33 papers in Computational Theory and Mathematics. Recurrent topics in Rafael D. Benguria's work include Spectral Theory in Mathematical Physics (38 papers), Advanced Mathematical Modeling in Engineering (29 papers) and Nonlinear Partial Differential Equations (22 papers). Rafael D. Benguria is often cited by papers focused on Spectral Theory in Mathematical Physics (38 papers), Advanced Mathematical Modeling in Engineering (29 papers) and Nonlinear Partial Differential Equations (22 papers). Rafael D. Benguria collaborates with scholars based in Chile, United States and France. Rafael D. Benguria's co-authors include Mark S. Ashbaugh, M. C. Depassier, Mark Kac, Elliott H. Lieb, Haı̈m Brezis, Élliott H. Lieb, Claudio Teitelboim, P. Cordero, D. Levi and Michael Loss and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and Nuclear Physics B.

In The Last Decade

Rafael D. Benguria

103 papers receiving 1.8k citations

Peers

Countries citing papers authored by Rafael D. Benguria

Since Specialization

Citations

This map shows the geographic impact of Rafael D. Benguria's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Rafael D. Benguria with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Rafael D. Benguria more than expected).

Fields of papers citing papers by Rafael D. Benguria

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Rafael D. Benguria. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Rafael D. Benguria. The network helps show where Rafael D. Benguria may publish in the future.

Co-authorship network of co-authors of Rafael D. Benguria

This figure shows the co-authorship network connecting the top 25 collaborators of Rafael D. Benguria. A scholar is included among the top collaborators of Rafael D. Benguria based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Rafael D. Benguria. Rafael D. Benguria is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Remarks on the spectrum of a non-local Dirichlet problem 2021 ·LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) ·Rafael D. Benguria	0
2	A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere 2020 ·Nova Science Publishers (Nova Science Publishers, Inc.) ·Rafael D. Benguria, Barbara Brandolini, (unknown)	6
3	An iterative estimation for disturbances of semi-wavefronts to the delayed Fisher-KPP equation 2018 ·Proceedings of the American Mathematical Society ·Rafael D. Benguria, (unknown)	3
4	Spectral analysis of quantum Hamiltonians : spectral days 2010 2012 ·CERN Document Server (European Organization for Nuclear Research) ·Rafael D. Benguria, Eduardo Friedman, Marius Măntoiu, (unknown)	2
5	Low Eigenvalues of Laplace and Schrödinger Operators 2009 ·Oberwolfach Reports ·Mark S. Ashbaugh, Rafael D. Benguria, Richard S. Laugesen, Timo Weidl	7
6	Fourier transform, null variety, and Laplacian's eigenvalues 2009 ·Journal of Functional Analysis ·Rafael D. Benguria, Michael Levitin, Leonid Parnovski	2
7	The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space 2008 ·Mathematical Research Letters ·Rafael D. Benguria, Rupert L. Frank, Michael Loss	45
8	(2+1)-Dimensional Charged Black Hole in Topologically Massive Electrodynamics 2005 ·Physical Review Letters ·Tomás Andrade, Máximo Bañados, Rafael D. Benguria, Andrés Gomberoff	16
9	Oscillating minimizers of a fourth-order problem invariant under scaling 2004 ·Journal of Differential Equations ·Rafael D. Benguria, (unknown), Jean Dolbeault, Régis Monneau	2
10	Propagation of fronts of a reaction-convection-diffusion equation 2001 ·arXiv (Cornell University) ·Rafael D. Benguria, M. C. Depassier, Vicenç Méndez	1
11	Classification of the Solutions of Semilinear Elliptic Problems in a Ball 2000 ·Journal of Differential Equations ·Rafael D. Benguria, Jean Dolbeault, Maria J. Esteban	24
12	Bounds for ratios of eigenvalues of the Dirichlet Laplacian 1994 ·Proceedings of the American Mathematical Society ·Mark S. Ashbaugh, Rafael D. Benguria	4
13	Isoperimetric bounds for higher eigenvalue ratios for the n-dimensional fixed membrane problem 1993 ·Proceedings of the Royal Society of Edinburgh Section A Mathematics ·Mark S. Ashbaugh, Rafael D. Benguria	11
14	Eigenvalue Ratios for Sturm-Liouville Operators 1993 ·Journal of Differential Equations ·Mark S. Ashbaugh, Rafael D. Benguria	31
15	Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model 1992 ·French digital mathematics library (Numdam) ·Rafael D. Benguria, Stefan Hoops, Heinz Siedentop	1
16	Some eigenvalue inequalities for a class of Jacobi matrices 1990 ·Linear Algebra and its Applications ·Mark S. Ashbaugh, Rafael D. Benguria	5
17	Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials 1989 ·Proceedings of the American Mathematical Society ·Mark S. Ashbaugh, Rafael D. Benguria	47
18	Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials 1989 ·Proceedings of the American Mathematical Society ·Mark S. Ashbaugh, Rafael D. Benguria	13
19	Optimal bounds for ratios of eigenvalues of one-dimensional Schr�dinger operators with Dirichlet boundary conditions and positive potentials 1989 ·Communications in Mathematical Physics ·Mark S. Ashbaugh, Rafael D. Benguria	36
20	A note on the gap between the first two eigenvalues for the Schrodinger operator 1986 ·Journal of Physics A Mathematical and General ·Rafael D. Benguria	4

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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