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Bibliographic Details
Main Authors: da Silva, Ismael Sandro, Pimenta, Marcos T. Oliveira, Pontes, Pedro Fellype
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.20858
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Table of Contents:
  • 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 $1$-Laplacian operator with discontinuous nonlinearities. Our results contribute to advancing the study of nonsmooth variational problems, by establishing new nonsmooth multiple critical point theorems.