Existence results for the 1-Laplacian problem with a critical concave–convex nonlinearity
| dc.contributor.author | Pimenta, Marcos T. O. [UNESP] | |
| dc.contributor.author | Carranza, Yino B. C. [UNESP] | |
| dc.contributor.author | Figueiredo, Giovany M. | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Universidade de Brasília (UnB) | |
| dc.date.accessioned | 2025-04-29T19:34:27Z | |
| dc.date.issued | 2024-12-01 | |
| dc.description.abstract | In this paper, we study a critical concave–convex type problem involving the 1-Laplacian operator in a general Lipschitz-continuous domain. We show an existence result using an approximation method, in which the solution is obtained as limit of solutions to p-Laplacian type problems. To overcome the lack of compactness, a version of the well-known Concentration Compactness Principle of Lions is used. | en |
| dc.description.affiliation | Departamento de Matemática e Computação Universidade Estadual Paulista - Unesp, SP | |
| dc.description.affiliation | Departamento de Matemática Intituto de Biociências Letras e Ciências Exatas - Ibilce/Unesp, SP | |
| dc.description.affiliation | Departamento de Matemática Universidade de Brasília, DF | |
| dc.description.affiliationUnesp | Departamento de Matemática e Computação Universidade Estadual Paulista - Unesp, SP | |
| dc.description.affiliationUnesp | Departamento de Matemática Intituto de Biociências Letras e Ciências Exatas - Ibilce/Unesp, SP | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorshipId | CAPES: 01 | |
| dc.description.sponsorshipId | FAPESP: 2023/05300-4 | |
| dc.description.sponsorshipId | FAPESP: 2024/13814-0 | |
| dc.description.sponsorshipId | CNPq: 304765/2021-0 | |
| dc.identifier | http://dx.doi.org/10.1007/s11784-024-01138-3 | |
| dc.identifier.citation | Journal of Fixed Point Theory and Applications, v. 26, n. 4, 2024. | |
| dc.identifier.doi | 10.1007/s11784-024-01138-3 | |
| dc.identifier.issn | 1661-7746 | |
| dc.identifier.issn | 1661-7738 | |
| dc.identifier.scopus | 2-s2.0-85206369261 | |
| dc.identifier.uri | https://hdl.handle.net/11449/304277 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Fixed Point Theory and Applications | |
| dc.source | Scopus | |
| dc.subject | 1-Laplacian operator | |
| dc.subject | critical growth | |
| dc.subject | singular nonlinearity | |
| dc.title | Existence results for the 1-Laplacian problem with a critical concave–convex nonlinearity | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |