2 papers
math.AP2026
Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities
Ismael Sandro da Silva, Marcos T. Oliveira Pimenta, Pedro Fellype Pontes
In this paper, we present a novel approach to investigate the existence of multiple critical points for a class of nonsmooth functionals. This method provides a robust framework to…
math.AP2025
Degenerate Kirchhoff problems with nonlinear Neumann boundary condition
Franziska Borer, Marcos T. O. Pimenta, Patrick Winkert
In this paper we consider degenerate Kirchhoff-type equations of the form \[-Ï(Î(u)) \left(\mathcal{A}(u)-|u|^{p-2}u\right) = f(x,u)\quad \text{in } Ω,\] \[\phantom{aaiaaaaaaaaa…