Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities
Analysis of PDEs
2026-02-25 v1
Abstract
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 analyze the existence of solutions for problems involving the -Laplacian operator with discontinuous nonlinearities. Our results contribute to advancing the study of nonsmooth variational problems, by establishing new nonsmooth multiple critical point theorems.
Keywords
Cite
@article{arxiv.2602.20858,
title = {Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities},
author = {Ismael Sandro da Silva and Marcos T. Oliveira Pimenta and Pedro Fellype Pontes},
journal= {arXiv preprint arXiv:2602.20858},
year = {2026}
}