| Texto completo | |
| Autor(es): |
de Araujo, Patricia Neves
;
Nakasato, Jean Carlos
;
Pereira, Marcone Correa
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | REVISTA MATEMATICA COMPLUTENSE; v. N/A, p. 41-pg., 2025-10-03. |
| Resumo | |
In this paper, we investigate the behavior of the solutions of a semilinear elliptic equation posed in a thin domain with an outward peak. Such peak is given by a nonnegative function which sets the profile of our region and makes the analysis challenging. In a first moment, we apply standard methods from asymptotic analysis and thin domains to show the strong convergence of the solutions of the linear version of the problem also determining the rate of convergence. In the sequel, we derive conditions under which the linear limit equation has a compact resolvent in order to analyze the semilinear equation. We obtain upper and lower semicontinuity of the solutions establishing rate of convergence under appropriated conditions on the geometry of the thin domain. (AU) | |
| Processo FAPESP: | 22/08112-1 - Perturbação de domínio em equações diferenciais parciais |
| Beneficiário: | Jean Carlos Nakasato |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |
| Processo FAPESP: | 20/14075-6 - Sistemas dinâmicos e seus atratores sob perturbação |
| Beneficiário: | Alexandre Nolasco de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |