| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000394704 |
| ISSN: | 0037-8712 |
| Authors: | Anane, Aomar1 Chakrone, Omar1 Karim, Belhadj1 Zerouali, Abdellah1 |
| Institutions: | 1Universite Mohammed Premier, Faculte des Sciences, Oujda. Marruecos |
| Year: | 2010 |
| Volumen: | 28 |
| Number: | 2 |
| Pages: | 49-56 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | In this paper we prove the existence of a weak solution to the following system △pu = △qv = 0 in Ω, |∇u| p−2 ∂u ∂ν = f(x, u) − (α + 1)K(x)|u| α−1u|v| β+1 + f1 on ∂Ω, |∇v| q−2 ∂v ∂ν = g(x, v) − (β + 1)K(x)|v| β−1v|u| α+1 + g1 on ∂Ω, where Ω is a bounded domain in R N (N ≥ 2), f1, g1, f, g and K are functions that satisfy some conditions |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Problema de Steklov, Sistemas elípticos, Condiciones de frontera, Ecuaciones diferenciales no lineales |
| Keyword: | Mathematics, Pure mathematics, Steklov problem, Elliptic systems, Boundary conditions, Nonlinear differential equations |
| Full text: | Texto completo (Ver PDF) |
