Eigenvalue questions on some quasilinear elliptic problems
Eigenvalues of polyharmonic operators on variable domains
We consider a class of eigenvalue problems for polyharmonic operators, including Dirichlet and buckling-type eigenvalue problems. We prove an analyticity result for the dependence of the symmetric functions of the eigenvalues upon domain perturbations and compute Hadamard-type formulas for the Frechét differentials. We also consider isovolumetric domain perturbations and characterize the corresponding critical domains for the symmetric functions of the eigenvalues. Finally, we prove that balls are...
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.