(2+1)-Dimensional Charged Black Hole in Topologically Massive Electrodynamics

scientific article published in Physical Review Letters

A New Estimate on the Two-Dimensional Indirect Coulomb Energy

article

A Second Eigenvalue Bound for the Dirichlet Schrödinger Operator

article by Rafael Benguria & Helmut Linde published 23 May 2006 in Communications in Mathematical Physics

A Sharp Bound for the Ratio of the First Two Eigenvalues of Dirichlet Laplacians and Extensions

article by Mark S. Ashbaugh & Rafael Benguria published May 1992 in Annals of Mathematics

A lower bound on the size of molecules

article by Hugo R. Alarc�n & Rafael Benguria published November 1995 in Letters in Mathematical Physics

A new estimate on the indirect Coulomb energy

article

A nonlinear fourth-order minimization problem

article by Rafael Benguria published 2006 in Contemporary mathematics

A nonlinear ordinary differential equation associated with the quantum sojourn time

A reversed Poincaré inequality for monotone functions

A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space

article by Rafael Benguria & Helmut Linde published November 2007 in Duke Mathematical Journal

A second proof of the Payne-Pólya-Weinberger conjecture

article by Mark S. Ashbaugh & Rafael Benguria published June 1992 in Communications in Mathematical Physics

A simple proof of a theorem of Laptev and Weidl

article by Rafael Benguria & Michael Loss published 2000 in Mathematical Research Letters

A variational method for nonlinear eigenvalue problems

Asymptotic behaviour of the equilibrium nuclear separation for the H+2molecule in a strong magnetic field

Best Constant for the Ratio of the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Positive Potentials

Best constant for the ratio of the first two eigenvalues of one-dimensional Schrödinger operators with positive potentials

Binding Threshold for the Pauli?Fierz Operator

Bounds for Ratios of Eigenvalues of the Dirichlet Laplacian

Bounds for ratios of eigenvalues of the Dirichlet Laplacian

Bäcklund transformations and nonlinear differential difference equations ⬇️

scientific article

Bäcklund transformations for multidimensional sine-Gordon equations.

scientific article

Classification of the Solutions of Semilinear Elliptic Problems in a Ball

Connection between the Lieb-Thirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane

Density Functional Theory

Dependence of the Thomas-Fermi energy on the nuclear coordinates

Dissociation of Homonuclear Relativistic Molecular Ions

Electrodynamics and the equations of motion for charged particles with spin

scholarly article

Exact asymptotic behavior of the Pekar–Tomasevich functional

Existence and uniqueness of positive solutions of semilinear elliptic equations with Coulomb potentials on ?3

Fourier transform, null variety, and Laplacian's eigenvalues

Ground state energy of large polaron systems ⬇️

Improved results on the no-binding of bipolarons

Indirect Coulomb energy for two-dimensional atoms

Isoperimetric bound for $\lambda_3 / \lambda_2$ for the membrane problem

article by Mark S. Ashbaugh & Rafael Benguria published July 1991 in Duke Mathematical Journal

Isoperimetric bounds for higher eigenvalue ratios for the n-dimensional fixed membrane problem

Isoperimetric inequalities for eigenvalues of the Laplace operator

Isoperimetric inequalities for eigenvalues of the Laplacian

Isoperimetric inequalities for eigenvalues of the Laplacian

Isoperimetric inequalities for eigenvalues of the Laplacian and the Schrödinger operator

Linear and nonlinear marginal stability for fronts of hyperbolic reaction diffusion equations

scientific article published on 29 August 2002

List of Contributors

scholarly article

Log-concavity of the ground state of Schrödinger operators: A new proof of the Baumgartner-Grosse-Martin inequality

article published in 1988

Low Eigenvalues of Laplace and Schrödinger Operators

Low self-complementarity of cytochrome c Messenger RNA, a structural and functional restriction for evolution at the molecular level ⬇️

scientific article published on October 1, 1975

Many-Body Atomic Potentials in Thomas-Fermi Theory

Many-Body Atomic Potentials in Thomas-Fermi Theory

Many-Body Atomic Potentials in Thomas—Fermi Theory

Many-Body Atomic Potentials in Thomas—Fermi Theory

Many-body atomic potentials in Thomas-Fermi theory

Minimal speed of fronts of reaction-convection-diffusion equations.

scientific article published on 23 March 2004

Monotonicity of the period of a non linear oscillator

More Bounds on Eigenvalue Ratios for Dirichlet Laplacians inNDimensions

On the Payne-Pólya-Weinberger conjecture on the n-dimensional sphere

On the linear stability theory of Bénard–Marangoni convection

On the ratio of the first two eigenvalues of Schrödinger operators with positive potentials

Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials

Optimal bounds for ratios of eigenvalues of one-dimensional Schr�dinger operators with Dirichlet boundary conditions and positive potentials

Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials

Oscillating minimizers of a fourth-order problem invariant under scaling

article by Rafael Benguria et al published October 2004 in Journal of Differential Equations

Proof of the Payne-Pólya-Weinberger conjecture

Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

scientific article published in Physical Review Letters

Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

Quantum Langevin Equation

scientific article published in Physical Review Letters

Rigorous results for the minimal speed of Kolmogorov–Petrovskii–Piscounov monotonic fronts with a cutoff

STABILITY OF MATTER

Sharp Upper Bound to the First Nonzero Neumann Eigenvalue for Bounded Domains in Spaces of Constant Curvature

article by Mark S. Ashbaugh & Rafael Benguria published October 1995 in Journal of the London Mathematical Society

Some eigenvalue inequalities for a class of Jacobi matrices

Some eigenvalue inequalities for a class of Jacobi matrices

Speed of Fronts of the Reaction-Diffusion Equation.

scientific article published in August 1996

Speed of pulled fronts with a cutoff

scientific article published on 08 May 2007

Stability of Matter

Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model

article

Symmetry Properties of the Solutions to Thomas-Fermi-Dirac-Von Weizsacker Type Equations

Symmetry properties of the solutions to Thomas-Fermi-Dirac-von Weizsäcker type equations

The Brézis–Nirenberg Problem on S3

The Lane-Emden equation revisited

The Range of Values of λ2/λ1 and λ3/λ1 for the Fixed Membrane Problem

The Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules

The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules

The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules

The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules

The most negative ion in the Thomas-Fermi-von Weizsäcker theory of atoms and molecules

The most negative ion in the Thomas—Fermi—von Weizsäcker theory of atoms and molecules

The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space

Thomas-Fermi-von Weizs�cker equation

Three-mode truncation of a model equation for systems with a long-wavelength oscillatory instability.

scientific article published in April 1992

Universal Bounds for the Low Eigenvalues of Neumann Laplacians inNDimensions

Upper and lower bounds for eigenvalues of nonlinear elliptic equations: I. The lowest eigenvalue

Validity of the linear speed selection mechanism for fronts of the nonlinear diffusion equation.

scientific article published in October 1994

Variational Calculation of the Period of Nonlinear Oscillators

Variational Principle for Eigenvalue Problems of Hamiltonian Systems

scientific article published in Physical Review Letters

Variational Principle for Eigenvalue Problems of Hamiltonian Systems

scientific article published on 01 November 1996

Variational Principles for the Speed of Traveling Fronts of Reaction–Diffusion Equations

Variational calculations for thermal combustion waves

scientific article published on 01 October 1995

Variational principle for the asymptotic speed of fronts of the density-dependent diffusion-reaction equation.

scientific article published in September 1995

Variational principle for the chemical potential in the Thomas-Fermi model

generalization to three dimensions