Existence of reaction-diffusion-convection waves in unbounded strips.
Some existence theorems for nonlocal elliptic systems. Application to laser plasma
We formulate some existence theorems for systems of elliptic equations with nonlocal terms. The proofs are based on the invariant region method. The results are applied to a multitemperature model of laser sustained plasma.
Sur l'usage d'un principe d'invariance pour aider au choix d'une métrique
Migrations interurbaines dans la banlieue sud de paris
Analyse logarithmique. Deux exemples d'application
Travelling Waves in Partially Degenerate Reaction-Diffusion Systems
We study the existence and some properties of travelling waves in partially degenerate reaction-diffusion systems. Such systems may for example describe intracellular calcium dynamics in the presence of immobile buffers. In order to prove the wave existence, we first consider the non degenerate case and then pass to the limit as some of the diffusion coefficient converge to zero. The passage to the limit is based on a priori estimates of solutions independent of the values of the diffusion coefficients....
Solvability conditions for elliptic problems with non-Fredholm operators
The paper is devoted to solvability conditions for linear elliptic problems with non-Fredholm operators. We show that the operator becomes normally solvable with a finite-dimensional kernel on properly chosen subspaces. In the particular case of a scalar equation we obtain necessary and sufficient solvability conditions. These results are used to apply the implicit function theorem for a nonlinear elliptic problem; we demonstrate the persistence of travelling wave solutions to spatially periodic...
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