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Publicaciones de Rafael Benguria:

P. Arroyo, R. D. Benguria, E. Collados, and J. Tohá, Low Self-Complementarity of Cytochrom-C Messenger RNA, a Structural and Functional Restriction at the Molecular Level, J. of Theoretical Biology 54, 153-166 (1975).
R. D. Benguria, Electrodynamics and the Equations of Motion of Charged Particles with Spin, Phys. Rev. D13, 274-278 (1976).
R. D. Benguria, P. Cordero, and C. Teitelboim, Aspects of Hamiltonian Dynamics of Interacting Gravitational Gauge and Higgs Fields with Applications to Spherical Symmetry, Nuclear Physics B122, 61-99 (1977).
R. D. Benguria and E. H. Lieb, Many-Body Atomic Potentials in Thomas-Fermi Theory, Annals of Physics 110, 34-45 (1978).
R. D. Benguria and E. H. Lieb, The Positivity of the Pressure in Thomas-Fermi Theory, Commun. Math. Phys. 63, 193-218 (1978); Erratum, Commun. Math. Phys. 63, 193-218 (1978).
R. D. Benguria and K. M. Case, Backlund Transformations for Multi-dimensional Sine-Gordon Equations, Proc. Natl. Acad. Sci. (USA) 77, 4393-4394 (1980).
D. Levi and R. D. Benguria, Backlund Transformations and Nonlinear Differential-Difference Equations, Proc. Natl. Acad. Sci. (USA) 77, 5025-5027 (1980).
R. D. Benguria and M. Kac, On the Quantum Langevin Equation, Phys. Rev. Lett. 46, 1-4 (1981).
R. D. Benguria, H. Brezis, and E. H. Lieb, The Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules, Commun. Math. Phys. 79, 167-180 (1981).
R. D. Benguria, Dependence of the Thomas-Fermi Energy on the Nuclear Coordinates, Commun. Math. Phys. 81, 419-428 (1981).
R. D. Benguria and M. C. Depassier, Upper and Lower Bounds for Eigenvalues of Nonlinear Elliptic Equations. I. The Lowest Eigenvalue, J. Math. Phys. 24, 501-503 (1983).
R. D. Benguria and E. H. Lieb, Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle, Phys. Rev. Lett. 50, 1771-1774 (1983).
R. D. Benguria and E. H. Lieb, The Most Negative Ion in the Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules, J. Phys. B: At. Mol. Phys. 18, 1041-1059 (1985).
R. D. Benguria, A Note on the Gap Between the first two Eigenvalues for the Schrödinger Operator, J. Phys. A: Math. & Gen. 19, 477-478 (1986).
R. D. Benguria and L. Jeanneret, Existence and Uniqueness of Positive Solutions of Semilinear Elliptic Equations with Coulomb Potentials on $\Re^3$ , Commun. Math. Phys. 104, 291-306 (1986).
M. S. Ashbaugh and R .D. Benguria, Best Constant for the Ratio of the First Two Eigenvalues of One-Dimensional Schrödinger Operators with Positive Potentials, Proc. Amer. Math. Soc. 99, 598-599 (1987).
R. D. Benguria and M. C. Depassier, Oscillatory Instabilities in the Rayleigh-Bénard Problem with a Free Surface, Phys. Fluids 30, 1678-1682 (1987).
M. S. Ashbaugh and R. D. Benguria, On the Ratio of the First Two Eigenvalues of Schrödinger Operators with Positive Potentials in Differential Equations and Mathematical Physics, Proceedings of an International Conference held in Birmingham, Alabama, USA, March 3-8, 1986, Lecture Notes in Mathematics, 1285 (I.W. Knowles Y. Saito, Eds.) pp. 16-25, Springer-Verlag (Berlin) 1987.
M. S. Ashbaugh and R. D. Benguria, Log-Concavity of the Ground State of Schrödinger Operators: A New Proof of the Baumgartner, Grosse, Martin Inequality, Phys. Lett. A 131, 273-276 (1988).
M. S. Ashbaugh and R. D. Benguria, Optimal Lower Bounds for Eigenvalue Gaps for Schrödinger Operators with Symmetric Single-Well Potentials and Related Results in Maximum Principles and Eigenvalue Problems in Partial Differential Equations, Pitman Research Notes in Mathematical Series 175 (P. Schaefer, Ed.) pp. 134-145, Longman Sci. Tech. (Harlow) 1988.
M. S. Ashbaugh and R. D. Benguria, Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrödinger operators with Symmetric Single-Well Potentials, Proc. Amer. Math. Soc. 105, 419-424 (1989).
R. D. Benguria and M. C. Depassier, On the linear stability theory of Bénard-Marangoni convection, Phys. Fluids A1, 1123-1127 (1989).
M. S. Ashbaugh and R. D. Benguria, Optimal Bounds for Ratios of Eigenvalues of One-Dimensional Schrödinger Operators with Dirichlet Boundary Conditions and Positive Potentials, Commun. Math. Phys. 124, 403-415 (1989).
R. D. Benguria and M. C. Depassier, Equations of the Korteweg-de Vries type with nontrivial conserved quantities, J. Phys. A: Math. & Gen. 22, 4135-4142 (1989).
R. D. Benguria and M. C. Depassier, Oscillatory Instabilities in Bénard Marangoni Convection in a Fluid Bounded Above by a Free Surface in Instabilities and Nonlinear Structures. II. Dynamical Systems and Instabilities Mathematics and Its Applications 50 (E. Tirapegui and D. Villaroel, Eds.) pp. 221-225 , Kluwer Ac. Pub. (Dordrecht) 1989.
R. D. Benguria and C. Yarur, Symmetry Properties of the solutions to Thomas-Fermi-von Weizsäcker type equations, Trans. Amer. Math. Soc. 320, 665-675 (1990).
M. S. Ashbaugh, and R. D. Benguria, Some Eigenvalue Inequalities for a Class of Jacobi Matrices, Linear Algebra and its Applications 136, 215-234 (1990); Addendum, Linear Algebra and its Applications 149, 277 (1991).
R. D. Benguria and C. Yarur, Sharp condition on the decay of the potential for the absence of a zero energy ground state of the Schrödinger equation, J. Phys. A: Math. & Gen. 23, 1513-1518 (1990).
M. S. Ashbaugh, R. D. Benguria, and C. Yarur, Properties of the positive solution of a generalized Thomas-Fermi-von Weizsäcker equation, Duke Math. Journal 63, 199-215 (1991).
M. S. Ashbaugh and R. D. Benguria, Proof of the Payne-Pólya-Weinberger Conjecture, Bull. Amer. Math. Soc. 25, 19-29 (1991).
M. S. Ashbaugh and R .D. Benguria, Isoperimetric Bound for $\lambda_3/ \lambda_2$ for the Membrane Problem, Duke Math.Journal 63, 333-341 (1991).
M. S. Ashbaugh and R. D. Benguria, A Sharp Bound for the Ratio of the First Two Eigenvalues of Dirichlet Laplacians and Extensions, Annals of Mathematics 135, 601-628 (1992).
R. D. Benguria and M. C. Depassier, Three mode truncation of a model equation for systems with long wave oscillatory instability, Phys. Rev. A45, 5566-5571 (1992).
M. S. Ashbaugh and R. D. Benguria, A Second Proof of the Payne-Pólya-Weinberger Conjecture, Commun. Math. Phys. 147, 181-190 (1992).
R. D. Benguria, S. Hoops, and H. Siedentop, Bounds on the excess charge and the ionization energy for the Hellmann-Weizsäcker model, Ann. Inst. Henri Poincaré 57, 47-65 (1992).
C. M. Alfaro, R. D. Benguria, and M. C. Depassier, Finite Mode Analysis of the Kuramoto-Sivashinsky Equation Modified by Dispersion, Physica D61, 1-5 (1992).
M. S. Ashbaugh and R. D. Benguria, Eigenvalue Ratios for Sturm-Liouville Operators, Journal of Differential Equations 103, 205-219 (1993).
M. S. Ashbaugh and R. D. Benguria, Universal Bounds for the Low Eigenvalues of Neumann Laplacians in Dimensions, SIAM J. Math. Anal. 24, 557-570 (1993).
M. S. Ashbaugh and R.D. Benguria, More Bounds on Eigenvalue Ratios for Dirichlet Laplacians in Dimensions, SIAM J. Math. Anal. 24, 1622-1651 (1993).
M. S. Ashbaugh and R. D. Benguria , Isoperimetric Bounds for Higher Eigenvalue Ratios for the N-dimensional Fixed Membrane Problem, Proceedings of The Royal Society of Edinburgh 123A, 977-985 (1993).
C. M. Alfaro, R. D. Benguria, and M. C. Depassier, The Role of Dispersion in the Generalized Kuramoto-Sivashinsky Equation, in Instabilities and Nonlinear Structures. IV Mathematics and Its Applications 267 (E. Tirapegui and W. Zeller, Eds.) pp. 281-287 , Kluwer Ac. Pub. (Dordrecht) 1993.
R. D. Benguria and M. C. Depassier, On the existence of monotonic fronts for a class of physical problems described by the equation $\lambda u''' +u' = f(u)$ , J. Phys. A: Math. & Gen. 27, 1339-1344 (1994).
M. S. Ashbaugh and R. D. Benguria, Bounds for Ratios of Eigenvalues of the Dirichlet Laplacian, Proc. Amer. Math. Soc. 121, 145-150 (1994).
R. D. Benguria, S. Lorca, and C. Yarur, Nonexistence Results for Solutions of Semilinear Elliptic Equations, Duke Math. Journal, 74, 615-634 (1994).
M. S. Ashbaugh and R.D. Benguria, Isoperimetric Inequalities for Eigenvalue Ratios in Proc. Int. Conference ``Equazioni e derivate di tipo ellittico'' in Cortona, Italy, 1992. (A. Alvino, E. Fabes, G. Talenti, editors) pp. 1-33, Cambridge University Press, Cambridge, UK, 1994.
M. S. Ashbaugh and R. D. Benguria, The Range of Values of $\lambda_2/\lambda_1$ and $\lambda_3/\lambda_1$ for the Fixed Membrane Problem, Reviews in Mathematical Physics, 6, 999-1009 (1994). Reprinted in The State of Matter: a volume dedicated to E. H. Lieb, Michael Aizenman and Huzihiro Araki (Eds.), pp. 167-182, Advances Series in Mathematical Physics 20, World Scientific, Singapore, 1994.
R. D. Benguria and M. C. Depassier, On the validity of the linear speed selection mechanism for fronts of the nonlinear diffusion equation, Phys. Rev. Lett. 73, 2272-2274 (1994).
R. D. Benguria and M. C. Depassier, Exact fronts for the nonlinear diffusion equation with quintic nonlinearities, Phys. Rev. E. 50, 3701-3704 (1994).
M.S. Ashbaugh and R.D. Benguria, ¿ Se puede escuchar la forma de un tambor ?, Gaceta de la Sociedad Matemática de Chile, , 7-20 (1994).
R.D. Benguria, Sobre la solución de ecuaciones algebraicas, Revista del Profesor de Matemáticas, 1, 74-82 (1994).
M. S. Ashbaugh and R. D. Benguria, On Rayleigh's Conjecture for the Clamped Plate and its Generalization to Three Dimensions, Duke Math. Journal 78, 1-17 (1995).
M. S. Ashbaugh and R. D. Benguria, Sharp Upper Bound to the First Nonzero Neumann Eigenvalue for Bounded Domains in Spaces of Constant Curvature, Journal of the London Mathematical Society (2) 52, 402-416 (1995).
H. Alarcón and R. D. Benguria, A Lower Bound on the Size of Molecules, Letters in Mathematical Physics 35, 281-289 (1995).
M.S. Ashbaugh, and R.D. Benguria, On Rayleigh's Conjecture for the Clamped Plate and its Generalization to Three Dimensions in Differential Equations and Mathematical Physics, Proceedings of the International Conference, Univ. Alabama at Birmingham, March 13-17, 1994, Ian W. Knowles, ed., pp. 17-27, International Press, Cambridge, Mass. 1995.
R. D. Benguria, and M. C. Depassier, Monotonic Fronts in Phase Space, in Differential Equations and Mathematical Physics, Proceedings of the International Conference, Univ. Alabama at Birmingham, March 13-17, 1994, Ian W. Knowles, ed., pp. 28-36, International Press, Cambridge, Mass. 1995.
R. D. Benguria and M. C. Depassier, A Variational Principle for the Asymptotic Speed of Fronts of the Density Dependent Diffusion-Reaction Equation, Phys. Rev. E 52, 3285-3287 (1995).
R. D. Benguria, J. Cisternas, and M. C. Depassier, Variational Calculations for Thermal Combustion Waves, Phys. Rev. E 52, 4410-4413 (1995).
R. D. Benguria, and M. C. Depassier, Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation, Commun. Math. Phys, 175, 221-227 (1996).
M. S. Ashbaugh and R. D. Benguria, Bounds for Ratios of the First, Second, and Third Membrane Eigenvalues, in Nonlinear Problems in Applied Mathematics, in honor of Ivar Stakgold on his 70th birthday, Eds. T.S. Angell, L. Pamela Cook, R.E. Kleinman y W.E. Olmstead, SIAM, Philadelphia, pp. 30-42, 1996.
R. D. Benguria and M. C. Depassier, Speed of fronts of the reaction-diffusion equation, Phys. Rev. Lett. 77, 1171-1173 (1996).
R. D. Benguria and M. C. Depassier, A variational principle for eigenvalue problems of Hamiltonian systems, Phys. Rev. Lett. 77, 2847-2850 (1996).
R. D. Benguria and M. C. Depassier, Monotonic Fronts of the Reaction-Diffusion Equation in One Space Dimension, in Instabilities and Nonequilibrium Structures V, Eds. E. Tirapegui and W. Zeller, Kluwer Academic Publishers, Dordrecht, pp. 105-110, 1996.
R. D. Benguria and M.C. Depassier, Book, Problemas Resueltos de Mecánica Clásica, Ediciones Universidad Católica de Chile, Santiago de Chile, 1996. ISBN 956-14-0403-6. (Segunda Edición, publicada por Alfaomega Grupo Editor, México, D.F., 1999. ISBN 970-15-0426-7.)
M. S. Ashbaugh, R. D. Benguria, and R. S. Laugesen, Inequalities for the first eigenvalues of the clamped plate and buckling problems , in General Inequalities 7, C. Bandle, W. N. Everitt, L. Losonczi, and W. Walter (Eds.), International Series of Numerical Mathematics, 123, Birkhäuser Verlag, Basel, pp. 95-110 (1997).
M. S. Ashbaugh and R. D. Benguria, On the Payne-Pólya-Weinberger conjecture on the -dimensional sphere, in General Inequalities 7,C. Bandle, W. N. Everitt, L. Losonczi, and W. Walter (Eds.), International Series of Numerical Mathematics, 123, Birkhäuser Verlag, Basel, pp. 111-128 (1997).
R. D. Benguria and J. M. Yáñez, Variational Principle for the Chemical Potential in the Thomas-Fermi Model, Journal of Physics A: Math. & Gen. 31, 585-593 (1998).
R. D. Benguria and M. C. Depassier, Phase Space Derivation of a Variational Principle for One-dimensional Hamiltonian Systems, Physics Letters A 240, 144-146 (1998).
R. D. Benguria and M. C.Depassier, Speed of fronts of generalized reaction-diffusion equations, Physical Review E 57, 6493-6496 (1998).
R. D. Benguria and M. C. Depassier, A Variational Method for Nonlinear Eigenvalue Problems, in Advances in Differential Equations and Mathematical Physics, Eric Carlen, Evans Harrell, and Michael Loss, Eds., Amer. Math. Soc., Contemporary Mathematics, 217 (1998) 1-17.
R. D. Benguria, M. C. Depassier, and M. Favre, Book, Problemas Resueltos de Electricidad y Magnetismo, Ediciones, Universidad Católica de Chile, Santiago de Chile, 1998. ISBN 956-14-0514-8.
R. D. Benguria and M. C.Depassier, Variational principle for limit cycles of the Rayleigh-van der Pol equation, Physical Review E 59, 4889-4893 (1999).
H. Alarcón, R. D. Benguria, P. Duclos, and H. Hogreve, On the Stability of Positive Molecular Ions, Helvetica Physica Acta, 72, 386-407 (1999).
R.D. Benguria and M.C. Depassier, Variational principle for the limit cycle of Rayleigh's equation, in Differential Equations and Mathematical Physics, R. Weikard and G. Weinstein, eds., Studies in Advanced Mathematics, 16, 21-26 (2000).
R. D. Benguria and M. C.Depassier, A Reversed Poincaré Inequality for Monotone Functions, Journal of Inequalities and Applications, 5, 91-96 (2000).
R. D. Benguria and M. Loss, A simple proof of a theorem of Laptev and Weidl, Mathematical Research Letters , 7, 195-203 (2000).
R.D. Benguria, H. Castillo, and M. Loewe, The Dirac equation with a delta potential, J. Phys. A: Math. Gen., 33, 5315-5320 (2000).
M. S. Ashbaugh and R. D. Benguria, A Sharp Bound for the Ratio of the First Two Dirichlet Eigenvalues of a Domain in a Hemisphere of , accepted for publication in Transactions of the American Mathematical Society (dvi,ps,pdf).
R. D. Benguria, J. Dolbeault, and M.J. Esteban, Classification of the solutions of semilinear elliptic problems in a ball, accepted for publication in Journal of Differential Equations (dvi,ps,pdf).
R.D. Benguria, Rayleigh-Faber-Krahn Inequality, in Encyclopaedia of Mathematics, Supplement vol. 3, Kluwer, to appear (dvi,ps,pdf).
R.D. Benguria, Dirichlet Eigenvalue, in Encyclopaedia of Mathematics, Supplement vol. 3, Kluwer, to appear. (dvi,ps,pdf).
R.D. Benguria, Neumann Eigenvalue, in Encyclopaedia of Mathematics, Supplement vol. 3, Kluwer, to appear (dvi,ps,pdf).
R.D. Benguria, H. Siedentop, and E. Stockmeyer, Dissociation of homonuclear relativistic molecular ions, accepted for publication in Annales Henri Poincaré (dvi,ps,pdf).
C.Bandle, R.D. Benguria, The Brézis-Nirenberg Problem on S³, Institute Mittag-Leffler report nº 17, 1999/2000, ISSN 1103-467X, submitted for publication (dvi,ps,pdf).
R.D. Benguria, M.C. Depassier, and V. Mendez, Propagation of fronts of a reaction-convection-diffusion equation, submitted for publication (dvi,ps,pdf).
R.D. Benguria and M.C. Depassier, Bounds for Nonlinear Eigenvalue Problems, submitted for publication (dvi,ps,pdf).

Remark: The articles numbers [4], [5], [9], [12] and [13] of the above list have been reprinted in: The Stability of Matter: From Atoms to Stars, Selecta of Elliott H. Lieb, Edited by W. Thirring, Springer-Verlag (NY) (1991).