11 citations · 16 across the 10 of their papers we have counts for
11 papers
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…
High multiplicity and chaos for an indefinite problem arising from genetic models
Alberto Boscaggin, Guglielmo Feltrin, Elisa Sovrano
We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential equation \begin{equation*} u'' + cu' + \bigr{(} λa^{+}(…
Chaos in periodically forced reversible vector fields
Isabel S. Labouriau, Elisa Sovrano
We discuss the appearance of chaos in time-periodic perturbations of reversible vector fields in the plane. We use the normal forms of codimension~ reversible vector fields and…