2 papers
math.AP2025
On bifurcation from infinity: a compactification approach
José M. Arrieta, Juliana Fernandes, Phillipo Lappicy
We consider a scalar parabolic partial differential equation on the interval with nonlinear boundary conditions that are asymptotically sublinear. As the parameter crosses critical…
math.AP2024
Continuity of attractors of parabolic equations with nonlinear boundary conditions and rapidly varying boundaries. The case of a Lipschitz deformation
Gleiciane S. Aragão, José M. Arrieta, Simone M. Bruschi
In this paper we obtain the continuity of attractors for nonlinear parabolic equations with nonlinear boundary conditions when the boundary of the domain varies very rapidly as a p…