Philippe Souplet

collaborators

3 papers

math.AP2026

Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions $n \geq 3$

Loth Damagui Chabi, Philippe Souplet

We study the space-time concentration or blow-up asymptotics of radially decreasing solutions of the parabolic-elliptic Keller-Segel system in the whole space or in a ball. We show…

math.AP2025

Classification of solutions of an elliptic Hamilton-Jacobi equation

Alessio Porretta, Philippe Souplet

We show that any classical solution of the diffusive Hamilton-Jacobi (DHJ) equation $- Δ u = ∣\nabla u ∣^{p}$ in a half-space with zero boundary conditions for $1 < p \leq 2$ is necessarily…

math.AP2025

Classification of entire and ancient solutions of the diffusive Hamilton-Jacobi equation

Loth Damagui Chabi, Philippe Souplet

Consider the diffusive HJ eq. with Dirichlet conditions, which arises in stochastic control as well as in KPZ type models of surface growth. It is known that, for $p > 2$ and suitabl…

Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions n≥3

Classification of solutions of an elliptic Hamilton-Jacobi equation

Classification of entire and ancient solutions of the diffusive Hamilton-Jacobi equation

Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions $n \geq 3$