4 papers · 2 filters
Global existence and asymptotic behavior for diffusive Hamilton-Jacobi equations with Neumann boundary conditions
Joaquin Dominguez-de-Tena, Philippe Souplet
We investigate the diffusive Hamilton-Jacobi equation $$u_t-\Lap u = |\nabla u|^p$$ with , in a smooth bounded domain of $\RN$ with homogeneous Neumann boundary conditions and…
A Liouville theorem for the Lane-Emden system in the half-space
Yimei Li, Philippe Souplet
We prove that the Dirichlet problem for the Lane-Emden system in a half-space has no positive classical solution that is bounded on finite strips. Such a nonexistence result was pr…
Refined behavior and structural universality of the blow-up profile for the semilinear heat equation with non scale invariant nonlinearity
Loth Damagui Chabi, Philippe Souplet
We consider the semilinear heat equation for a large class of non scale invariant nonlinearities of the form , where is Sobolev subcritical and…
From transient elastic linkages to friction: a complete study of a penalized fourth order equation with delay
Vuk Milisic, Philippe Souplet
In this paper we consider a fourth order nonlinear parabolic delayed problem modelling a quasi-instantaneous turn-over of linkages in the context of cell-motility. The model depend…