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arXiv · 2602.20858

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
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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 $1$-Laplacian operator with discontinuous nonlinearities. Our results contribute to advancing the study of nonsmooth variational problems, by establishing new nonsmooth multiple critical point theorems.

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Ismael Sandro da Silva, Marcos T. Oliveira Pimenta, Pedro Fellype Pontes. 2026-02-24. Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities. https://arxiv.org/abs/2602.20858

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