Ein Maximumprinzip für nichtlineare parabolische Systeme.
Estimates for smooth absolutely minimizing Lipschitz extensions.
Estimates of weak solutions to nondiagonal quasilinear parabolic systems
-estimates of weak solutions are established for a quasilinear non-diagonal parabolic system with a special structure whose leading terms are modelled by p-Laplacians. A generalization of the weak maximum principle to systems of equations is employed.
Estimation des valeurs propres d'opérateurs elliptiques sur des ouverts non bornés
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 multiplicity of solutions to elliptic problems with discontinuities and free boundary conditions.
Existence and uniqueness of Lipschitz continuous graphs with prescribed Levi curvature
Existence and Uniqueness of Solutions of Nonlinear Neumann Problems.
Existence and uniqueness results of positive solutions for nonvariational quasilinear elliptic systems.
Existence of infinitely many solutions for elliptic boundary-value problems with nonsymmetrical critical nonlinearity.
Existence of solutions for non-necessarily cooperative systems involving Schrödinger operators.
Existence of Waves for a Nonlocal Reaction-Diffusion Equation
In this work we study a nonlocal reaction-diffusion equation arising in population dynamics. The integral term in the nonlinearity describes nonlocal stimulation of reproduction. We prove existence of travelling wave solutions by the Leray-Schauder method using topological degree for Fredholm and proper operators and special a priori estimates of solutions in weighted Hölder spaces.
Existence results for quasilinear problems via ordered sub and supersolutions
Existences and boundary behavior of boundary blow-up solutions to quasilinear elliptic systems with singular weights.
Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics
We show that the entropy method, that has been used successfully in order to prove exponential convergence towards equilibrium with explicit constants in many contexts, among which reaction-diffusion systems coming out of reversible chemistry, can also be used when one considers a reaction-diffusion system corresponding to an irreversible mechanism of dissociation/recombination, for which no natural entropy is available.
Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics
We show that the entropy method, that has been used successfully in order to prove exponential convergence towards equilibrium with explicit constants in many contexts, among which reaction-diffusion systems coming out of reversible chemistry, can also be used when one considers a reaction-diffusion system corresponding to an irreversible mechanism of dissociation/recombination, for which no natural entropy is available.