Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914347205263360 |
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| author | da Silva, Ismael Sandro Pimenta, Marcos T. Oliveira Pontes, Pedro Fellype |
| author_facet | da Silva, Ismael Sandro Pimenta, Marcos T. Oliveira Pontes, Pedro Fellype |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20858 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities da Silva, Ismael Sandro Pimenta, Marcos T. Oliveira Pontes, Pedro Fellype Analysis of PDEs 35J62, 35J15, 35J20 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. |
| title | Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities |
| topic | Analysis of PDEs 35J62, 35J15, 35J20 |
| url | https://arxiv.org/abs/2602.20858 |