9 citations · 18 across the 4 of their papers we have counts for
5 papers
Exponential Dichotomy for Noninvertible Linear Difference Equations
F. Battelli, M. Franca, K. J. Palmer
In this article we study exponential dichotomies for noninvertible linear difference equations in finite dimensions. After giving the definition, we study the extent to which the p…
On a nonlinear parabolic problem: Stability properties of Ground States
Luca Bisconti, Matteo Franca
We consider the Cauchy-problem for the following parabolic equation: \begin{equation*} \displaystyle u_t = Δu+ f(u,|x|), \end{equation*} where , , and $f=…
Entire solutions of superlinear problems with indefinite weights and Hardy potentials
Matteo Franca, Andrea Sfecci
We provide the structure of regular/singular fast/slow decay radially symmetric solutions for a class of superlinear elliptic equations with an in- definite weight on the nonlinear…
On a diffusion model with absorption and production
Matteo Franca, Andrea Sfecci
We discuss the structure of radial solutions of some superlinear elliptic equations which model diffusion phenomena when both absorption and production are present. We focus our at…
On a non-homogeneous and non-linear heat equation
Luca Bisconti, Matteo Franca
We consider the Cauchy-problem for a parabolic equation of the following type: \begin{equation*} \frac{\partial u}{\partial t}= Δu+ f(u,|x|), \end{equation*} where is…