2 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_Ï+f(u)u_{x}=\left(D(u)u_{x}\right)_{x}+Ï(u),\quad u\left(Ï,x\ri…