19 citations · 31 across the 4 of their papers we have counts for
5 papers
Stationary states of reaction-diffusion and Schrödinger systems with inhomogeneous or controlled diffusion
Alexandre Montaru, Boyan Sirakov
We obtain classification, solvability and nonexistence theorems for positive stationary states of reaction-diffusion and Schrödinger systems involving a balance between repulsive a…
Exponential speed of uniform convergence of the cell density toward equilibrium for subcritical mass in a Patlak-Keller-Segel model
Alexandre Montaru
This paper is concerned with a chemotaxis aggregation model for cells, more precisely with a parabolic-elliptic semilinear Patlak-Keller-Segel system in a ball of fo…
Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems
Alexandre Montaru, Boyan Sirakov, Philippe Souplet
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the…
Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity
Alexandre Montaru
We study a one-dimensional parabolic PDE with degenerate diffusion and non-Lipschitz nonlinearity involving the derivative. This evolution equation arises when searching radially s…
A semilinear parabolic-elliptic chemotaxis system with critical mass in any space dimension
Alexandre Montaru
We study radial solutions in a ball of of a semilinear, parabolic-elliptic Patlak-Keller-Segel system with a nonlinear sensitivity involving a critical power. For $N…