2 papers
math.AP2026
A bifurcation theory approach to the nonlocal Kuramoto-Sivashinsky equation
Pablo Cubillos, Rafael Granero-Belinchón, Juan Carlos Sampedro
We study the nonlocal Kuramoto-Sivashinsky equation on the one-dimensional torus, \[ u_t+u u_x=Λ^{r}u-\varepsilon Λ^{s}u,\qquad x\in\mathbb T, \] where , , $r\i…
math.AP2024
High multiplicity of positive solutions in a superlinear problem of Moore-Nehari type
Pablo Cubillos, Julián López-Gómez, Andrea Tellini
In this paper we consider a superlinear one-dimensional elliptic boundary value problem that generalizes the one studied by Moore and Nehari in [43]. Specifically, we deal with pie…