14 citations · 14 across the 10 of their papers we have counts for
15 papers
On some sharper boundedness conditions in the higher-dimensional chemotaxis-consumption model
Silvia Frassu, Giuseppe Viglialoro
For the classical zero-flux chemotaxis-consumption model \begin{equation*} u_t= Δu - χ\nabla \cdot (u \nabla v) \quad \textrm{and}\quad v_t=Δv- uv, \quad \text{ with } (x,t)\in Ω\t…
Remarks on two connected papers about Keller-Segel systems with nonlinear production
Yuya Tanaka, Giuseppe Viglialoro, Tomomi Yokota
These notes aim to provide a deeper insight on the specifics of two articles dealing with chemotaxis models with nonlinear production. More precisely, we are referring to the paper…
Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent
Silvia Frassu, Giuseppe Viglialoro
We study this zero-flux attraction-repulsion chemotaxis model, with linear and superlinear production for the chemorepellent and sublinear rate for the chemoattractant: \be…
Boundedness for a fully parabolic Keller-Segel model with sublinear segregation and superlinear aggregation
Silvia Frassu, Giuseppe Viglialoro
This work deals with a fully parabolic chemotaxis model with nonlinear production and chemoattractant. The problem is formulated on a bounded domain and, depending on a specific in…
Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime
Tongxing Li, Giuseppe Viglialoro
This work deals with a parabolic chemotaxis model with nonlinear diffusion and nonlocal reaction source. The problem is formulated on the whole space and, depending on a specific i…
On the solvability of a two-dimensional Ventcel problem with variable coefficients
Antonio Greco, Giuseppe Viglialoro
This paper deals with the following mixed boundary value problem \begin{equation}\label{ProblemAbstract} \tag{} \begin{cases} -Δu = f &\mbox{in ,} \\ u = φ&\mbox{on $Γ…