6 citations · 10 across the 5 of their papers we have counts for
7 papers
On the number of positive solutions to an indefinite parameter-dependent Neumann problem
Guglielmo Feltrin, Elisa Sovrano, Andrea Tellini
We study the second-order boundary value problem \begin{equation*} \begin{cases} \, -u''=a_{λ,μ}(t) \, u^{2}(1-u), & t\in(0,1), \\ \, u'(0)=0, \quad u'(1)=0, \end{cases} \end{equat…
Propagation for KPP bulk-surface systems in a general cylindrical domain
Beniamin Bogosel, Thomas Giletti, Andrea Tellini
In this paper, we investigate propagation phenomena for KPP bulk-surface systems in a cylindrical domain with general section and heterogeneous coefficients. As for the scalar KPP…
Coupled reaction-diffusion equations on adjacent domains
Henri Berestycki, Luca Rossi, Andrea Tellini
We consider a reaction-diffusion system for two densities lying in adjacent domains of . We treat two configurations: either a cylinder and its complement, or two hal…
High multiplicity of positive solutions for superlinear indefinite problems with homogeneous Neumann boundary conditions
Andrea Tellini
We prove that a class of superlinear indefinite problems with homogeneous Neumann boundary conditions admits an arbitrarily high number of positive solutions, provided that the par…
The effect on Fisher-KPP propagation in a cylinder with fast diffusion on the boundary
Luca Rossi, Andrea Tellini, Enrico Valdinoci
In this paper we consider a reaction-diffusion equation of Fisher-KPP type inside an infinite cylindrical domain in , coupled with a reaction-diffusion equation o…
Imperfect bifurcations via topological methods in superlinear indefinite problems
Andrea Tellini
In [5] the structure of the bifurcation diagrams of a class of superlinear indefinite problems with a symmetric weight was ascertained, showing that they consist of a primary branc…
Propagation speed in a strip bounded by a line with different diffusion
Andrea Tellini
In this paper we consider a model for the diffusion of a population in a strip-shaped field, where the growth of the species is governed by a Fisher-KPP equation and which is bound…