11 citations · 16 across the 10 of their papers we have counts for
5 papers · 1 filter
Wavefronts for a degenerate reaction-diffusion system with application to bacterial growth models
Luisa Malaguti, Elisa Sovrano
We investigate wavefront solutions in a nonlinear system of two coupled reaction-diffusion equations with degenerate diffusivity: \[n_t = n_{xx} - nb, \quad b_t = [D nbb_x]_x + nb,…
Continuous dependence for p-Laplace equations with varying operators
Francesca Colasuonno, Benedetta Noris, Elisa Sovrano
For the following Neumann problem in a ball $$\begin{cases} -Δ_p u+u^{p-1}=u^{q-1}\quad&\text{in }B,\\ u>0,\,u\text{ radial}\quad&\text{in }B,\\ \frac{\partial u}{\partial ν}=0\qua…
Coupled reaction-diffusion equations with degenerate diffusivity: wavefront analysis
Eduardo Muñoz-Hernández, Elisa Sovrano, Valentina Taddei
We investigate traveling wave solutions for a nonlinear system of two coupled reaction-diffusion equations characterized by double degenerate diffusivity: \[n_t= -f(n,b), \quad b_t…
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…
A negative answer to a conjecture arising in the study of selection-migration models in population genetics
Elisa Sovrano
We deal with the study of the evolution of the allelic frequencies, at a single locus, for a population distributed continuously over a bounded habitat. We consider evolution which…