Laurentz Schwartz. Un mathématicien aux prises avec le siècle. París, Editions Odile Jacob, 1997
La matemática y sus elementos: de Euclides a Bourbaki.
On the linearization of some singular, nonlinear elliptic problems and applications
Some results about multiplicity and bifurcation of stationary solutions of a reaction diffusion climatological model.
In this survey we collect several results concerning S-type bifurcation curves for the number of solutions of reaction-diffusion stationary equations. In particular, we recall several results in the literature for the case of stationary energy balance models.
On the existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems.
We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the inverse of the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.
Discounted Markov decision processes with fuzzy costs
This article concerns a class of discounted Markov decision processes on Borel spaces where, in contrast with the classical framework, the cost function is a fuzzy function of a trapezoidal type, which is determined from a classical cost function by applying an affine transformation with fuzzy coefficients. Under certain conditions ensuring that the classical (or standard) model with a cost function has an optimal stationary policy with the optimal cost , it is shown that such a policy...
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