95 citations · 645 across the 59 of their papers we have counts for
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Phase Space Derivation of a Variational Principle for One Dimensional Hamiltonian Systems
R. D. Benguria, M. C. Depassier
We consider the bifurcation problem u'' + λu = N(u) with two point boundary conditions where N(u) is a general nonlinear term which may also depend on the eigenvalue λ. A new deriv…
A Variational Principle for Eigenvalue Problems of Hamiltonian Systems
R. D. Benguria, M. C. Depassier
We consider the bifurcation problem with two point boundary conditions where is a general nonlinear term which may also depend on the eigenvalue . We gi…
The Speed of Fronts of the Reaction Diffusion Equation
R. D. Benguria, M. C. Depassier
We study the speed of propagation of fronts for the scalar reaction-diffusion equation \, with . We give a new integral variational principle…
A Variational Principle for the Asymptotic Speed of Fronts of the Density Dependent Diffusion--Reaction Equation
R. D. Benguria, M. C. Depassier
We show that the minimal speed for the existence of monotonic fronts of the equation with , and in derives from a va…
Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation
R. D. Benguria, M. C. Depassier
We give an integral variational characterization for the speed of fronts of the nonlinear diffusion equation with , and in , which p…
New exact fronts for the nonlinear diffusion equation with quintic nonlinearities
R. D. Benguria, M. C. Depassier
We consider travelling wave solutions of the reaction diffusion equation with quintic nonlinearities . If the parameters and…