| Texto completo | |
| Autor(es): |
Carranza, Yino B. Cueva
;
Pimenta, Marcos T. O.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO; v. 73, n. 3, p. 22-pg., 2023-11-15. |
| Resumo | |
In this paper, we study some systems of elliptic PDEs involving the 1-Laplacian operator. In the first one, we deal with the subcritical regime, while in the second, we study a system with nonlinearities with critical growth. The approach is based on an approximation argument, in which the solutions are obtained as the limit of related problems with the p-Laplacian operator. In order to overcome the lack of compactness in the critical case, a version of the Concentration of Compactness Principle of Lions is proved. (AU) | |
| Processo FAPESP: | 21/04158-4 - Problemas elípticos envolvendo o operador de curvatura-média no espaço das funções de variação limitada |
| Beneficiário: | Marcos Tadeu de Oliveira Pimenta |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |