Elliptic boundary value problems with nonvariational perturbation and the finite element method
Elliptic equations with limiting Sobolev exponent: the impact of the Green's function
Encore sur les équations hyperboliques avec petit paramètre dans les espaces de Banach généraux
Équations hyperboliques non linéaires
Evolutionary Games in Space
The G-function formalism has been widely used in the context of evolutionary games for identifying evolutionarily stable strategies (ESS). This formalism was developed for and applied to point processes. Here, we examine the G-function formalism in the settings of spatial evolutionary games and strategy dynamics, based on reaction-diffusion models. We start by extending the point process maximum principle to reaction-diffusion models with homogeneous, locally stable surfaces. We then develop...
Existence and perturbation of principal eigenvalues for a periodic-parabolic problem.
Existence and Regularity of Solutions for a Semilinear First-Order Equation on the Torus.
Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg-de Vries equation.
Existence of solutions to -Laplace equations with logarithmic nonlinearity.
Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary.
Forced oscillations of beams on elastic bearings.
Galerkin averaging method and Poincaré normal form for some quasilinear PDEs
We use the Galerkin averaging method to construct a coordinate transformation putting a nonlinear PDE in Poincaré normal form up to finite order. We also give a rigorous estimate of the remainder showing that it is small as a differential operator of very high order. The abstract theorem is then applied to a quasilinear wave equation, to the water wave problem and to a nonlinear heat equation. The normal form is then used to construct approximate solutions whose difference from true solutions is...
Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator.
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations
Impuretés dans une structure périodique
Inégalités de Sogge bilinéaires et équation de Schrödinger non linéaire
Inéquations quasi variationnelles dépendant d'un paramètre
Infinitely many solutions for a semilinear elliptic equation in via a perturbation method
We introduce a method to treat a semilinear elliptic equation in (see equation (1) below). This method is of a perturbative nature. It permits us to skip the problem of lack of compactness of but requires an oscillatory behavior of the potential b.
Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires
Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires
On définit des invariants entiers mesurant l’irrégularité d’un point singulier d’un système différentiel. Les propriétés de ces invariants, l’étude de la variation de l’ordre de la singularité par perturbation linéaire ainsi qu’une généralisation d’un théorème de W. Jurkat et D.A. Lutz permettent de donner une méthode de calcul de cet ordre.