| Texto completo | |
| Autor(es): |
Pereira, Marcone Correa
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 67, n. 5 OCT 2016. |
| Citações Web of Science: | 4 |
| Resumo | |
In this work we are interested in the asymptotic behavior of a family of solutions of a semilinear elliptic problem with homogeneous Neumann boundary condition defined in a two-dimensional bounded set which degenerates to the unit interval as a positive parameter epsilon goes to zero. Here we also allow that upper and lower boundaries from this singular region present highly oscillatory behavior with different orders and variable profile. Combining results from linear homogenization theory and nonlinear analyzes we get the limit problem showing upper and lower semicontinuity of the solutions at epsilon = 0. (AU) | |
| Processo FAPESP: | 13/22275-1 - Sistemas dinâmicos gerados por equações parabólicas semilineares |
| Beneficiário: | Marcone Corrêa Pereira |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |