1 citations · 1 across the 4 of their papers we have counts for
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Behavior in time of solutions of a Keller--Segel system with flux limitation and source term
Monica Marras, Stella Vernier-Piro, Tomomi Yokota
In this paper we consider radially symmetric solutions of the following parabolic--elliptic cross-diffusion system \begin{equation*} \begin{cases} u_t = Δu - \nabla \cdot (u f(|\na…
Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term
M. Marras, F. Ragnedda, S. Vernier-Piro +1
In this note we consider degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the Hölder regularity f…
Behaviour in time of solutions to fourth-order parabolic systems with time dependent coefficients
M. Marras, S. Vernier-Piro
This paper deals with a class of initial-boundary value problems for nonlinear fourth order parabolic systems with time dependent coefficients in a bounded domain $Ω\subset \mathbb…
Maximum principles for a class of nonlinear second order elliptic differential equations
Giovanni Porru, Tewodros Amdeberhan, S. Vernier-Piro
In this paper we investigate maximum principles for functionals defined on solutions to special partial differential equations of elliptic type, extending results by Payne and Phil…