3 papers
math.CA2025
Solvability of Dirichlet boundary value problems governed by non-monotone differential operators
Francesca Anceschi, Cristina Marcelli, Francesca Papalini
We prove existence results for Dirichlet boundary value problems for equations of the type \begin{align*} \left( Φ(k(t) x'(t) ) \right)' = f(t, x(t) , x'(t) ) \qquad \text{for a.e.…
math.AP2025
Wavefront Solutions for Reaction-diffusion-convection Models with Accumulation Term and Aggregative Movements
Marco Cantarini, Cristina Marcelli, Francesca Papalini
In this paper we analyze the wavefront solutions of parabolic partial differential equations of the type \[ g(u)u_τ+f(u)u_{x}=\left(D(u)u_{x}\right)_{x}+ρ(u),\quad u\left(τ,x\right…
math.CA2020
Boundary value problems associated with singular strongly nonlinear equations with functional terms
Stefano Biagi, Alessandro Calamai, Cristina Marcelli +1
We study boundary value problems associated with singular, strongly nonlinear differential equations with functional terms of type $$\big(Φ(k(t)\,x'(t))\big)' + f(t,\mathcal{G}_x(t…